is 2500-1 (2000): sampling inspection procedures, part 1: … · 2013. 9. 10. · ics 03.120.30 @...
TRANSCRIPT
Disclosure to Promote the Right To Information
Whereas the Parliament of India has set out to provide a practical regime of right to information for citizens to secure access to information under the control of public authorities, in order to promote transparency and accountability in the working of every public authority, and whereas the attached publication of the Bureau of Indian Standards is of particular interest to the public, particularly disadvantaged communities and those engaged in the pursuit of education and knowledge, the attached public safety standard is made available to promote the timely dissemination of this information in an accurate manner to the public.
इंटरनेट मानक
“!ान $ एक न' भारत का +नम-ण”Satyanarayan Gangaram Pitroda
“Invent a New India Using Knowledge”
“प0रा1 को छोड न' 5 तरफ”Jawaharlal Nehru
“Step Out From the Old to the New”
“जान1 का अ+धकार, जी1 का अ+धकार”Mazdoor Kisan Shakti Sangathan
“The Right to Information, The Right to Live”
“!ान एक ऐसा खजाना > जो कभी च0राया नहB जा सकता है”Bhartṛhari—Nītiśatakam
“Knowledge is such a treasure which cannot be stolen”
“Invent a New India Using Knowledge”
है”ह”ह
IS 2500-1 (2000): Sampling Inspection Procedures, Part 1:Attribute Sampling Plans Indexed by Acceptable QualityLimit (AQL) for Lot-by-Lot Inspection [MSD 3: StatisticalMethods for Quality and Reliability]
IS 2500 (Part 1) :2000
W@7m’mISO 2859-1 : 1999
(E%?iT’Tjp%w)
Indian Standard
SAMPLING PROCEDURE FOR INSPECTIONBY ATTRIBUTES
PART 1 SAMPLING SCHEMES INDEXED BY
ACCEPTANCE QUALITY LIMIT (AQL) FOR LOT-BY-LOT INSPECTION
( Third Revision)
ICS 03.120.30
@ BIS 2000
BUREAU OF INDIAN STANDARDSMANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG
NEW DELHI 110002
October 2000
ii,,
Statistical Methods for Quality and Reliability Sectional Committee, MSD 3
NATIONAL FOREWORD
This Indian Standard (Part 1) (Third Revision) which is identical with ISO 2859-1:1999 ‘Samdinaprocedures for inspection by attributes — Part 1: Sampling schemes indexed by acceptance quality Iimfi(AQL) for lot-by-lot inspection’ issued by the International Organization for Standardization (ISO) wasadopted by the Bureau of Indian Standards on the recommendation of Statistical Methods for Qualityand Reliability Sectional Committee (MSD 3) and approval of the Management and Systems DivisionCouncil.
The text of the ISO standard has been approved suitable for publication as Indian Standard withoutdeviations. Certain conventions are, however, not identical to those used in Indian Standards. Attentionis particularly drawn to the following:
a) Wherever the words ‘International Standard’ appear referring to this standard, they should beread as ‘Indian Standard’.
b) Comma (,) has been used as a decimal marker while in Indian Standards the current practice is touse a point (.) as the decimal marker.
This standard was first published in 1963 and revised in 1973. The second revision of this standard waspublished in 1992 to make it identical with the corresponding International Standard, namely, ISO 2859-1:1989. This International Standard has been revised in 1999. In the third revision of the standard, therevised version of ISO 2859-1 has been adopted.
The significant changes in this revised version include :
— A new procedure for switching from normal to reduced inspection.— A reference to skip-lot sampling as an alternative to reduced inspection.— The term ‘limiting quality’ has been changed to “consumer’s risk quality” in the heading of Tables 6-A,
6-B, 6-C, 7-A, 7-B and 7-C.— A new table has been added giving producer’s risk as the probability of rejection of lots with percent
non-conforming equal to the AQL.— Optional fractional acceptance number plans have been added; the purpose of these plans is to
provide a consistent progression from the plans for acceptance number zero to the acceptancenumber 1 plans. The fractional acceptance number plans are found in Tables 1l-A, 11-B and 1l-C,where they take the place of the arrows in the corresponding positions in Tables 2-A, 2-B and 2-C.
— Reduced plans have been changed to eliminate the gap between the acceptance and rejectionnumbers.
— Some changes have been made to the double sampling plans to provide a smaller average sample size.
— Multiple sampling plans have been changed to five stages rather than seven. The change has notincreased the average sample size. Some of the new plans have a smaller average sample size thantheir counterparts in the previous edition.
— Scheme operating characteristic curves have been added as Table 12.
In this adopted standard, normative reference has been made to the following standard for which there isno Indian Standard :
ISO Standard Title
ISO 2859-3:1991 Sampling procedures for inspection by attributes — Part 3 : Skip-lot samplingprocedures
This International Standard also recommends that this standard be used together with ISO 2859-O,which contains illustrative examples. There is no Indian Standard corresponding to ISO 2859-O.
The technical committee responsible for the preparation of this standard has reviewed the provisions ofthe above referred ISO standards, and has decided that they are acceptable for use in conjunction withthis standard.
(Continued on third cover]
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IS 2500( Patil ):2000ISO 2859-1:1999
Contents
1 Scope ................................................................................................................................. ................................ ....... 1
2 Normative references ................................................................................................................................ .............. 2
3 Terms, definitions and symbols .............................................................................................................................2
4 Expression of nonconformity ................................................................................................................................ .7
5 Acceptance quality limit (AQL) ............................................................................................................................... 8
6 Submission of product for sampling .....................................................................................................................8
7 Acceptance and non-acceptance ...........................................................................................................................9
8 Drawing of samples .................................................................................................................................................9
9 Normal, tightened and reduced inspection ......................................................................................................... 10
10 Sampling plans ................................................................................................................................ .................... 13
11 Determination of acceptability ........................................................................................................................... 14
12 Further information ................................................................................................................................ ............. 14
13 Fractional acceptance number plans for single sampling (optional) .............................................................. 16
Tables
1 Sample size code letters ................................................................................................................................ ...... 19
2-A
2-B
2-c
3-A
3-B
3-c
4-A
4-B
Single sampling plans for normal inspection (Master table) ........................................................................20
Single sampling plans for tightened inspection (Master table) ...................................................................21
Single sampling plans for reduced inspection (Master table) ......................................................................22
Double sampling plans for normal inspection (Master table) ......................................................................23
Double sampling plans for tightened inspection (Master table) ..................................................................24
Double sampling plans for reduced inspection (Master table) ....................................................................25
Multiple sampling plans for normal inspection (Master table) .....................................................................26
Multiple sampling plans for tightened inspection (Master table) .................................................................29
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4-C Multiple sampling plans for reduced inspection (Master table) ................................................................... 32
5-A Producer’s risk for normal inspection ............................................................................................................ 35
5-B Producer’s risk for tightened inspection ........................................................................................................ 36
5-C Producer’s risk for reduced inspection .......................................................................................................... 37
6-A Consumer’s risk quality for normal inspection ............................................................................................. 38
6-B Consumer’s risk quality for tightened inspection ......................................................................................... 39
6-C Consumer’s risk quality for reduced inspection ...........................................................................................4O
7-A Consumer’s risk quality for normal inspection ............................................................................................. 41
7-B Consumer’s risk quality for tightened inspection .........................................................................................42
7-C Consumer’s risk quality for reduced inspection ...........................................................................................43
8-A Average outgoing quality limits for normal inspection (Single sampling plans) ....................................... 44
8-B Average outgoing quality limits for tightened inspection (Single sampling plans) .................................. 45
9 Average sample size curves for single, double and multiple sampling (normal, tightened and reducedinspection) ............................................................................................................................................................46
1O-A Tables for sample size code letter A (Individual plans) ..............................................................................48
1O-B Tables for sample size code letter B (Individual plans) .............................................................................. 50
1O-C Tables for sample size code letter C (Individual plans) .............................................................................. 52.
1O-D Tables for sample size code letter D (Individual plans) .............................................................................. 54
1O-E Tables for sample size code letter E (Individual plans) .............................................................................. 56
1O-F Tables for sample size code letter F (Individual plans) ............................................................................... 58
1O-G Tables for sample size code letter G (Individual plans) .............................................................................. 60
1O-H Tables for sample size code letter H (Individual plans) .............................................................................. 62
10-J Tables for sample size code letter J (Individual plans) ...............................................................................64
1O-K Tables for sample size code letter K (Individual plans) .............................................................................. 66
1O-L Tables for sample size code letter L (Individual plans) ............................................................................... 68
1O-M Tables for sample size code letter M (Individual plans) ............................................................................. 70
1O-N Tables for sample size code letter N (Individual plans) .............................................................................. 72
1O-P Tables for sample size code letter P (Individual plans) ..............................................................................74
1O-Q Tables for sample size code letter Q (Individual plans) .............................................................................. 76
10-R Tables for sample size code letter R (Individual plans) .............................................................................. 78
10-S Tables for sample size code letter S (Individual plans) ..........................................................................*... 80
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11-A Single sampling plans for normal inspection (Auxiliary master table) ..................................................... 81
11-B Single sampling plans for tightened inspection (Auxiliary master table) .................................................82
11-C Single sampling plans for reduced inspection (Auxiliary master table) ...................................................83
12 Scheme OC curves (Normalized) ......................................................................................................................84
Annex A (informative) Example for non-constant sampling plan ........................................................................85
Bibliography ............................................................................................................................................ .............. .... 87
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IS 2500( Part 1 ): 2000ISO 2859-1:1999
Indian Standard
SAMPLING PROCEDURE FOR INSPECTIONBY ATTRIBUTES
PART 1 SAMPLING SCHEMES INDEXED BY
ACCEPTANCE QUALITY LIMIT (AQL) FOR LOT-BY-LOT INSPECTION
( Third Revision)
1 Scope
1.1 This part of ISO 2859 specifies an acceptance sampling system for inspection by attributes. It is indexed interms of the acceptance quality limit (AQL).
Its purpose is to induce a supplier through the economic and psychological pressure of lot non-acceptance to maintaina process average at least as good as the specified acceptance quality limit, while at the same time providing an upperlimit for the risk to the consumer of accepting the occasional poor lot.
Sampling schemes designated in this part of ISO 2859 are applicable, but not limited, to inspection of
—
—
—
—
—
—
I —
—
1 1.2
end items,
components and raw materials,
operations,
materials in process,
supplies in storage,
maintenance operations,
data or records, and
administrative procedures.
These schemes are intended primarily to be used for a continuing series of lots, that is, a series Ions enouah toallow the switching rules (9.3) to be applied. These rules provide: -
a) a protection to the consumer (by means of a switch to tightened inspection or discontinuation of samplinginspection) should a deterioration in quality be detected;
b) an incentive (at the discretion of the responsible authority) to reduce inspection costs (by means of a switch toreduced inspection) should consistently good quality be achieved.
Sampling plans in this patt of ISO 2859 may also be used for the inspection of lots in isolation but, in this case the useris strongly advised to consult the operating characteristic curves to find a plan that will yield the desired protection (see12.6). In that case, the user is also referred to the sampling plans indexed by limiting quality (LQ) given in ISO 2859-2.
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2 Normative references
The following normative documents oontain provisions which, through reference in this text, constitute provisions ofthis part of ISO 2859. For dated references, subsequent amendments to, or revisions of, any of these publicationsdo not apply. However, parties to agreements based on this part of ISO 2859 are encouraged to investigate thepossibility of applying the most recent editions of the normative documents indicated below. For undatedreferences, the latest edition of the normative document referred to applies. Members of ISO and IEC maintainregisters of currently valid International Standards.
ISO 2859-3:1991, Sampling procedures for inspection by attributes — Part 3: Skip-lot sampling procedures.
ISO 3534-1:1993, Statistics — Vocabulary and symbols — Part 1: Probability and general statistical terms.
ISO 3534-2:1993, Statistics — Vocabulary and symbols — Part 2: Statistical quality control.
3 Terms, definitions and symbols
3.1 Terms and definitions
For the purposes of this part of ISO 2859, the terms and definitions given in ISO 3534-1 and ISO 3534-2 and thefollowing apply.
NOTE For ease of reference, the definitions of some of these terms are quoted from ISO 3534-1 and ISO 3534-2, whileothers are redefined or newly defined.
3.1.1inspectionactivity such as measuring, examining, testing or gauging one or more characteristics of a product or service, andcomparing the results with specified requirements in order to establish whether conformity is achieved for each
characteristic
3.1.2original inspectionfirst inspection of a lot according to the provisions of this part of ISO 2859
NOTE This is to be distinguished from the inspection of a lot which has been resubmitted after previous non-acceptance.
3.1.3inspection by attributesinspection whereby either the item is classified simply as conforming or nonconforming with respect to a specifiedrequirement or set of specified requirements, or the number of nonconformities in the item is counted
NOTE Inspection by attributes includes inspection for conformity of items as well as inspection for number ofnonconformities per hundred items.
3.1.4itemthat which can be individually described and considered
EXAMPLES
— a physical item;
— a defined quantity of material;
— a service, an activity or a process;
— an organization or a person; or
— some combination thereof.
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3.1.5nonconformity
non-f ulfilment of a specified requirement
NOTE 1 In some situations specified requirements coincide with customer usage requirements (see”defect, 3.1.6). In othersituations they may not coincide, being either more or less stringent, or the exact relationship between the two is not fullyknown or understood.
NOTE 2 Nonconformity will generally be classified according to its degree of seriousness such as:
Class A: those nonconformities of a type considered to be of the highest concern; in acceptance sampling such types ofnonconformitieswill be assigned a very small acceptance quality limitvalue;
Class B: those nonconformities of a type considered to have the next lower degree of concern; therefore, these can beassigned a larger acceptance quality limit value than those in class A and smaller than in class C, if a third class exists,etc.
NOTE 3 Adding characteristics and classes of nonconformities will generally affect the overall probability of acceptance ofthe product.
NOTE 4 The number of classes, the assignment into a class, and the choice of acceptance quality limit for each class,should be appropriate to the quality requirements of the specific situation.
3.1.6defectnon-f ulfilment of an intended usage requirement
NOTE 1 The term “defect” is appropriate for use when a quality characteristic of a product or service is evaluated in terms ofusage (as contrasted to conformance to specifications).
NOTE 2 Since the term “defect” now has definite meaning within the law, it should not be used as a general term.
3.1.7nonconforming itemitem with one or more nonconformities
NOTE Nonconforming items will generally be classified by their degree of seriousness such as:
Class A an item which contains one or more nonconformitiesof class A and may also contain nonconformitiesof class Bandlor class C, etc.;
Class B: an item which contains one or more nonconformitiesof class B and may also contain nonconformitiesof class C,etc. but contains no nonconformityof class A.
3.1.8percent nonconforming
(in a sample) one hundred times the number of nonconforming items in the sample divided by the sample size, viz:
where
d is the number of nonconforming items in the sample;
n is the sample size
3.1.9percent nonconforming(in a population or lot) one hundred times the number of nonconforming items in the population or lot divided by thepopulation or lot size, viz:
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100 P=l OO;
where
P is the proportion of nonconforming items;
D is the number of nonconforming items in the population or lot;
N is the population or lot size
NOTE 1 In this part of ISO 2859 the terms percent nonconforming (3.1.8 and 3:1 .9) or nonconformities per 100 items(3.1.1 O and 3.1.11) are mainly used in place of the theoretical terms “proportionof nonconforming items” and “nonconformitiesper item” because the former terms are the most widely used.
NOTE 2 This definition differs from that found in ISO 3534-2.
3.1.10nonconformities per 100 items
(in a sample) one hundred times the number of nonconformities in the sample divided by the sample size, viz:
where
d is the number of nonconformities in the sample;
n is the sample size
3.1.11nonconformities per 100 items
(in a Population or lot) one hundred times the number of nonconformities in the population or lot divided by thepopulation or lot size, viz:
100P =lOO;
where
P is the number of nonconformities per item;
D is the number of nonconformities in the population or lot
N is the population or lot size
NOTE An item may contain one or more nonconformities.
3.1.12responsible authorityconcept used to maintain the neutrality of this parl of ISO 2859 (primarily for specification purposes), irrespective of i
whether it is being invoked or applied by the first, second or third patiy)I
NOTE 1 The responsible authority maybe: i
a) the quality depafiment within a supplier’s organization (first party);
b) the purchaser or procurement organization (second party); t
c) an independent verification or cetiification authority (third party); /
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d) any of a), b) or c), differing according to function (see Note 2) as described in a written agreement between two of theparties, for example a document between supplier and purchaser.
NOTE 2 The duties and functions of a responsible authority are outlined in this parl of ISO 2859 (see 5.2, 6.2, 7.2, 7.3, 7.5,7.6, 9.1, 9.3.3, 9.4, 10.1, 10.3, 13.1).
3.1.13lotdefinite amount of some product, material or service, collected together
NOTE An inspection lot may consist of several batches or parts of batches.
3.1.14lot sizenumber of items in a lot
3.1.15sampleset of one or more items taken from a lot and intended to provide information on the lot
3.1.16sample sizenumber of items in the sample
3.1.17sampling plancombination of sample size(s) to be used and associated lot acceptability criteria
NOTE 1 A single sampling plan is a combination of sample size and acceptance and rejection numbers. A double samplingplan is a combination of two sample sizes and acceptance and rejection numbers for the first sample and for the combinedsample.
NOTE 2 A sampling plan does not contain the rules on how to draw the sample.
NOTE 3 For the purposes of this part of ISO 2859, a distinction should be made between the terms sampling plan (3.1.17),sampling scheme (3. 1.18) and sampling system (3.1.19).
3.1.18sampling schemecombination of sampling plans with rules for changing from one plan to another
NOTE See 9.3.
3.1.19sampling system
collection of sampling plans, or of sampling schemes, each with its own rules for changing plans, together with
sampling procedures including criteria by which appropriate plans or schemes maybe chosen
NOTE This part of ISO 2859 is a sampling system indexed by lot-size ranges, inspection levels and AQLs. A samplingsystem for LQ plans is given in ISO 2859-2.
3.1.20normal inspectionuse of a eampiing pian (3.1.17) with an acceptance criterion that has been devised to secure the producer a high
probability of acceptance when the process average (3.1.25) of the lot is better than the acceptance quaiity limit(3.1.26)
NOTE Normal inspection is usad when there is no reason to suspect that the process average (3.1.25) differs from anacceptable level.
ym. . . . -!..”,. “,. . . . . ,, ., ..? . . . . —-.
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3.1.21tightened inspectionuse of a sampling plan (3.1.17) with an acceptance criterion that is tighter than that for the corresponding plan fornormal inspection (3.1 .20)
NOTE Tightened inspection is invoked when the inspection results of a predetermined number of consecutive lots indicatethat the process average (3. 1.25) might be poorer than the AQL (3. 1.26).
3.1.22reduced inspectionuse of a sampling plan (3.1.17) with a sample size (3.1.16) that is smaller than that for the corresponding plan for
normal inspection (3.1 .20) and with an acceptance criterion that is comparable to that for the corresponding planfor normal inspection
NOTE 1 The discriminatory ability under reduced inspection is less than under normal inspection.
NOTE 2 Reduced inspection may be invoked when the inspection results of a predetermined number of consecutive lotsindicate that the process average (3. 1.25) is better than the AQL (3.1.26).
3.1.23switching scoreindicator that is used under normal inspection to determine whether the current inspection results are sufficient toallow for a switch to reduced inspection
NOTE See 9.3.3.
3.1.24acceptance scoreindicator that is used for fractional acceptance number plans to determine lot acceptability
NOTE See 13.2.1.2.
3.1.25process averageprocess level averaged over a defined time period or quantity of production
[ISO 3534-2 :1993,3.1 .2]
NOTE In this part of ISO 2859 the process average is the quality level (percent nonconforming or number ofnonconformities per hundred items) during a period when the process is in a state of statistical control.
3.1.26acceptance quafity limitAQLquality level that is the worst tolerable process average when a continuing series of lots is submitted for acceptancesampling
NOTE 1 This concept only applies when a sampling scheme with rules for switching, and for discontinuation, such as inISO 2859-1 or ISO 3951, is used.
NOTE 2 Although individual lots with quality as bad as the acceptance quality limit may be accepted with fairly highprobability, the designation of an acceptance quality limit does not suggest that this is a desirable quality level. Samplingschemes found in International Standards such as this pari of ISO 2859, with their rules for switching and for discontinuation ofsampling inspection, are designed to encourage suppliers to have process averages consistently better than the AQL.Otherwise, there is a high risk that the inspection severity will be switched to tightened inspection under which the criteria for lotacceptance become more demanding. Once on tightened inspection, unless action is taken to improve the process, it is verylikely that the rule requiring discontinuation of sampling inspection pending such improvement will be invoked.
3.1.27consumer’s risk qualityCRQlot or process quality level that in the sampling plan corresponds to a specified consumer’s risk
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NOTE Consumer’s risk is usually 10 ?4..
3.1.28limiting qualityLQwhen a lot is considered in isolation, a quality level which for the purposes of sampling inspection is limited to a lowprobability of acceptance
3.2 Symbols and abbreviations
The symbols and abbreviations used in this part of ISO 2859-1 areas follows:
Ac acceptance number
AQL acceptance quality limit (in percent nonconforming items or in nonconformities per hundred items)
AOQ average outgoing quality (in percent nonconforming items or in nonconformities per hundred items)
AOQL average outgoing quality limit (in percent nonconforming items or in nonconformities per hundreditems)
CRQ consumer’s risk quality (in percent nonconforming items or in nonconformities per’hundred items)
d number of nonconforming items (or nonconformities) found in a sample from a lot
D number of nonconforming items in a lot
LQ limiting quality (in percent nonconforming items or in nonconformities per hundred items)
N lot size
n sample size
P process average
P, quality level for which the probability of acceptance is x, where x is a fraction
Pa probability of acceptance (in percent)
Re rejection number
NOTE The symbol n may be accompanied by a subscript. Numerical subscripts 1 to 5 denote the first to the fifth sample,respectively. In general, ni is the size of the ith sample in double or multiple sampling.
4 Expression of nonconformity
4.1 General
The extent of nonconformity shall be expressed either in terms of percent nonconforming (see 3.1.8 and 3.1.9) or interms of nonconformities per 100 items (see 3.1.10 and 3.1.11). Tables 7,8 and 10 are based on the assumption thatnonconformitiesoccur randomly and with statistical independence. If it is known that one nonconformity in an itemcould be caused by a condition also likely to cause others, the items shall be considered just as conforming or not andmultiple nonconformities ignored.
4.2 Classification of nonconformities
Since most acceptance’ sampling involves evaluation of more than one qualii characteristic, and since they may differin importance in terms of qualii antior economic effects, it is often desirable to classify the types of nonconfomhitiesaccording to agreed classes as defined in 3.1.5. The number of classes, the assignment of nonconformities into
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classes, and the choice ofsituation.
AQL for each class should be appropriate to the quality requirements of the specific
5 Acceptance quality limit (AQL)
5.1 Use and application
The AQL, together with the sample size code letter (see 10.2), is used for indexing the sampling plans and schemesprovided in this part of ISO 2859.
When a specific value of the AQL is designated for a certain nonconformity or group of nonconformities, it indicates thatthe sampling scheme will accept the great majority of the lots submitted, provided the quality level (percentnonconforming or nonconformities per 100 items) in these lots is no greater than the designated value of AQL. Thesampling plans provided are so arranged that the probability of acceptance at the designated AQL value depends uponthe sample size for a given AQL, being generally higher for large samples than for small ones.
The AQL is a parameter of the sampling scheme and should not be confused with the process average that describesthe operating level of the manufacturing process. It is expected that the process average will be better than the AQL toavoid excessive rejections under this system.
CAUTION: The designation of an AQL shall not imply that the supplier has the right knowingly to supply anynonconforming item.
5.2 Specifying AQLs
The AQL to be used shall be designated in the contractor by (or in accordance with the prescription laid down by) theresponsible authorii. Different AQLs may be designated for groups of nonconformities considered collectively or forindividual nonconformities as defined in 3.1.5. The classification into groups should be appropriate to the qualityrequirements of the specific situation. An AQL for a group of nonconformities may be designated in addition to AQLs forindividual nonconforrnities, or subgroups, within that group. When the quality level is expressed as percent ofnonconforming items (3.1.8 and 3.1.9), AQL values shall not exceed 10% nonconforming. When the quality level isexpressed as number of nonconformities per 100 items (3.1.10 and 3.1.11), AQL values up to 1000 nonconformitiesper 100 items may be used.
5.3 Preferred AQLs
The series of values of AQLs given in the tables are known as the preferred series of AQLs. if, for any product, an AQLis designated other than one of these values, these tables are not applicable.
6 Submission of product for sampling
6.1 Formation of lots
The product shall be assembled into identifiable lots, sub-lots, or in such other manner as may be laid down (see 6.2).Each lot shall, as far as is practicable, consist of items of a single type, grade, class, size and combsition,manufactured under uniform condfiions at essentially the same time.
6.2 Presentation of lots
The formation of the lots, the lot size and the manner in whch each lot shall be presented and identified by the suppliershall be designated or approved by, or accordhg to, the responsible authority. ~ necessary, the supplier shall provideadequate and suitable storage space for each lot, equipment needed for proper identifmtion and presentation, andpersonnel for all handling of product required for drawing of samples.
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7 Acceptance and non-acceptance
7.1 Acceptability of lots
Acceptability of a lot shall be determined by the use of a sampling plan or plans.
The term “non-acceptance” is used in this context for “rejection” when it refers to the result of following the procedure.Forms of the term “reject” are retained when they refer to actions the consumer may take, as in “rejection number.”
7.2 Disposition of non-acceptable lots
The responsible authority shall decide how lots that are not accepted will be disposed of. Such lots maybe scrapped,sorted (with or without nonconforming items being replaced), reworked, re-evaluated against more specific usabilitycriteria, or held for additional information, etc.
7.3 Nonconforming items
If a lot has been accepted, the right is reserved to not accept any item found nonconforming during inspection, whetherthat item formed part of a sample or not. Items found nonconforming may be reworked or replaced by conformingitems, and resubmitted for inspection with the approval of, and in the manner specified by, the responsible authority.
7.4 Classes of nonconformities or nonconforming items
Specific assignment of nonconformities or nonconforming items to two or more classes requires using a set ofsampling plans. In general, the set of sampling plans have a common sample size, but different acceptance numbersfor each class having a different AQL, such as in Tables 2,3 and 4.
7.5 Special reservation for critical classes of nonconformities
Some types of nonconformities may have critical importance. This subclause specifies the special provisions for suchtypes of designated non-conformities. At the discretion of the responsible authority, every item in the lot may berequired to be inspected for such designated classes of nonconformities. The right is reserved to inspect every itemsubmitted for such designated nonconformities and to not accept the lot immediately if a nonconformity of this class isfound. The right is also reserved to sample, for specified classes of nonconformities, every lot submitted by the supplierand to not accept any lot if a sample drawn from it is found to contain one or more of these nonconformities.
7.6 Resubmitted lots
All parties shall be immediately notified if a lot is found not acceptable. Such lots shall not be resubmitted until all itemsare re-examined or retested and the supplier is satisfied that all nonconforming items have been removed or replacedby conforming items, or all nonconformities have been corrected. The responsible authority shall determine whethernormal or tightened inspection shall be used on re-inspection and whether re-inspection shall include all types orclasses of nonconformities or only the particular types or classes of nonconforrnities which caused initial non-acceptance.
8 Drawing of samples
8.1 Sample selection
The items selected for the sample shall be drawn from the lot by simple random sampling (see 2.1,5 inISO 3534-2:1993). However, when the lot consists of sub-lots or strata, identified by some rational criterion, stratifiedsampling shall be used in such a way that the size of the subsample from each sublot or stratum is proportional to thesize of that sublet or stratum (for further details seci 2.25 inISO2859-(Y1995).
8.2 Time for drawing the samples
Samples may be drawn after the lot has been produced, or during production of the lot. In either case, the samplesshall be selected according to 8.1.
9
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IS 2500( Part 1 ) :2000IS() 2859-1:1999
8.3 Double or multiple sampling
When double or multiple sampling is to be used, each subsequent sample shall be selected from the remainder of thesame lot.
9 Normal, tightened and reduced inspection
9.1 Start of inspection
Normal inspection shall be carried out at the start of inspection, unless otherwise directed by the responsible authority.
9.2 Continuation of inspection
Normal, tightened or reduced inspection shall continue unchanged on successive lots, except where the switchingprocedures (see 9.3) require the severity of the inspectionto be changed. The switching procedures shall be applied toeach class of nonconformities or nonconforming items independently.
9.3 Switching rules and procedures (see Figure 1)
9.3.1 Normal to tightened
When normal inspection is being carried out, tightened inspection shall be implemented as soon as two out of five (orfewer than five) consecutive lots have been non-acceptable on original inspection (that is, ignoring resubmitted lots orbatches for this procedure).
9.3.2 Tightened to normal
When tightened inspection!s being carried out, normal inspection shall be re-instated when five consecutive lots havebeen considered acceptable on original inspection.
9.3.3 Normal to reduced
9.3.3.1 General
When normal inspection is being carried out, reduced inspection shall be implemented provided that all of the followingconditions are satisfied:
a) the current value of the switching score (see 9.3.3.2) is at least 30; and
b) production is at a steady rate; and
c) reduced inspection is considered desirable by the responsible authority.
10
( Stari )
-i
- Currentvalueof switchingaooreis at leastW
- productionsteady,and
/-
i‘-krlda.pd‘7P)–Supplierimprovesquality
- productionirregularor
- otherconditionswarrentswitch
Figure1- Outfine of the ewitching rules (see 9.3)
oDiscontinueinspection
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IS 2500( Part 1 ): 2000ISO 2859=1 :1999
9.3.3.2 Switching score
The calculation of the switching score shall be initiated at the start of normal inspection unless otherwise specified bythe responsible authority.
The switching score shall be set at zero at the stari and updated following the inspection of each subsequent lot onoriginal normal inspection.
a) Single sampling plans:
1) when the acceptance number is 2 or more, add 3 to the switching score if the lot would have beenaccepted if the AQL had been one step tighter otherwise reset the switching score to zero;
2) when the acceptance number is O or 1, add 2 to the switching score if the lot is accepted; otherwise resetthe switching score to zero.
b) Double and multiple sampling plans:
1) when a double sampling plan is used, add 3 to the switching score if the lot is accepted after the firstsample; otherwise reset the switching score to zero;
2) when a multiple sampling plan is used, add 3 to the switching score if the lot is accepted by the thirdsample; otherwise reset the switching score to zero.
NOTE The application of the switching score is illustrated in annex A.
9.3.4 Reduced to normal
When reduced inspection is being carried out, normal inspection shall be re-instated if any of the following occur onoriginal inspection:
a)
b)
c)
9.4
a lot is not accepted; or
production becomes irregular or delayed; or
other conditions warrant that normal inspection shall be re-instated.
Discontinuation of inspection
If the cumulative number of lots not accepted in a sequence of consecutive lots on original tightened inspectionreaches 5, the acceptance procedures of this part of ISO 2859 shall not be resumed until action has been taken by thesupplier to improve the quality of the submitted product or service, and the responsible authority has agreed that thisaction is likely to be effective. Tightened inspection shall then be used as if 9.3.1 had been invoked.
9.5 Skip-1ot sampling
The lot-by-lot inspection in this part of ISO 2859 may be replaced by skip-lot sampling when the requirements ofISO 2859-3 are fulfilled.
NOTE There are limitations to tne use of the skip-lot procedures of ISO 2859-3 in place of the reduced-inspectionprocedures of this pari of ISO 2859. Some of the AQLs and inspection levels are not applicable.
I
12
IS 2500( Partl ):2000ISO 2859-1:1999
10 Sampling plans
10.1 Inspection level
The inspection level designates the relative amount of inspection. Three inspection levels, 1, II and Ill, are given inTable 1 for general use. Unless otherwise specified, level II shall be used. Level 1 may be used when lessdiscrimination is needed or level Ill when greater discrimination is required. Four additional special levels, S-1, S-2, S-3and S-4 are also given in Table 1 and may be used where relatively small sample sizes are necessary and largersampling risks can be tolerated.
The inspection level requires for any particular application shall be specified by the responsible authority. This allowsthe authority to require greater discrimination for some purposes and less for others.
At each inspection level, the switching rules shall operate to require normal, tightened and reduced inspection, asspecified in clause 9. The choice of inspection level is quite separate from these three severities of inspection. Thus,the inspection level that has been specified shall be kept unchanged when switching between normal, tightened andreduced inspection.
In the designation of inspection levels S-1 to S-4, care shall be exercised to avoid AQLs inconsistent with theseinspection levels. For instance, the code letters under S-1 go no further than D, equivalent to a single sample size of 8,but it is of no use to specify S-1 if the AQL is 0,1 %, for which the minimum sample size is 125.
The amount of information about the quality of a lot gained from examining samples drawn from the lot depends uponthe absolute size of the samples, not upon the relative size of the sample to the lot size, provided the sample is smallrelative to the lot that is examined. In spite of this, there are three reasons for varying the sample size with the lot size:
a) when the loss due to a wrong decision is high, it is more important to make the correct decision;
b) with a large lot, a sample size can be afforded that would be uneconomic for a small lot;
c) truly random sampling is relatively more difficult if the sample is too small a proportion of the lot.
10.2 Sample size code letters
Sample sizes are designated by sample size code letters. Table 1 shall be used to find the applicable code letter for theparticular lot size and the prescribed inspection level.
NOTE For economy of space in the tables or to avoid unnecessa~ repetition in the text, the abbreviated term “code letter”is sometimes used.
10.3 Obtaining a sampling plan
The AQL and the sample size code letter shall be used to obtain the sampling plan from Tables 2, 3, 4 or 11. For aspecified AQL and a given lot size, the same combination of AQL and sample size code letter shall be used to obtainthe sampling plan from the table for normal, tightened and reduced inspection.
When no sampling plan is available for a given combination of AQL and sample size code letter, the tables direct theuser to a different letter. The sample size to be used is given by the new sample size code letter, not by the originalletter. If this procedure leads to different sample sizes for different classes of nonconformities or nonconforming items,the sample size code letter corresponding to the largest sample size derived may be used for all classes ofnorrconformities or nonconforming items, when designated or approved by the responsible authority. As an alternativeto a single sampling plan with an acceptance number of O, the pfan with an acoeptanoe number of 1 with itscorrespondingly larger sample size for a designated AQL (where available) may be used, when designated orapproved by the responsible authority. As another alternative, the optional fractional acceptance number plansdescribed in clause 13 may be used when approved by the responsible authority.
13
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IS 2500( Part 1 ) :2000ISO 2859-1:1999
10.4 Types of sampling plans
Three types of sampling plans, single, double and multiple, are given in Tables 2, 3 and 4, respectively. When severaltypes of plans are available for a given AQL and sample size code letter, any one may be used. A decision as to thetype of plan, either single, double or multiple, when available for a given AQL and sample size code letter, shall usuallybe based upon the comparison between the administrative difficulty and the average sample sizes of the availableplans. For the sampling plans given in this part of ISO 2859, the average sample size of multiple plans is less than fordouble, and both of these are less than the single sample size (see Table 9). Usually, the administrative difficulty forsingle sampling and the cost per item in the sample are less than for double or multiple sampling.
11 Determination of acceptability
11.1 Inspection for nonconforming items
To determine acceptability of a lot under percent nonconforming inspection, the applicable sampling plan shall be usedin accordance with 11.1.1 to 11.1.3.
11.1.1 Single sampling plans (integer acceptance number)
The number of sample items inspected shall be equal to the sample size given by the plan. If the number ofnonconforming items found in the sample is equal to or less than the acceptance number, the lot shall be consideredacceptable. If the number of nonconforming items is equal to or greater than the rejection number, the lot shall beconsidered not acceptable.
11.1.2 Double sampling plans
The number of sample items first inspected shall be equal to the first sample size given by the plan. If the number ofnonconforming items found in the first sample is -equal to or less than the first acceptance number, the lot shall beconsidered acceptable. If the number of nonconforming items found in the first sample is equal to or greater than thefirst rejection number, the lot shall be considered not acceptable.
If the number of nonconforming items found in the first sample is between the first acceptance and rejection numbers, asecond sample of the size given by the plan shall be inspected. The number of nonconforming items found in the firstand second samples shall be accumulated. If the cumulative number of nonconforming items is equal to or less thanthe second acceptance number, the lot shall be considered acceptable. If the cumulative number of nonconformingitems is equal to or greater than the second rejection number, the lot shall be considered not acceptable.
11.1.3 Multiple sampling plans
In multiple sampling, the procedure shall be similar to that specified in 11.1.2. In this pari of ISO 2859, there are fivestages so that a decision will be reached by the fifth stage at the latest.
11.2 Inspection for nonconformities
In order to determine the acceptability of a lot in a nonconformities per hundred items inspection, the procedurespecified for nonconforming inspection (see 11.1) shall be used, except that the term “nonconformities” shall besubstituted for “nonconforming items”.
12 Further information
12.1 Operating characteristic (OC) curves
The operating characteristic curves for normal and tightened inspection, shown in Table 10, indicate the percentage oflots which may be expected to be accepted under the various sampling plans for a given process quality. The curvesshown are for single sampling, integer acceptance number plans; curves for double and multiple sampling are matchedas closely as practicable. The OC curves shown for AQLs greater than 10 are applicable for inspection for number of
14
IS. 2500 ( Pati 1 ) :2000ISO 2859-1:1999
nonconformities; those for AQLs of 10 or less are applicable for inspection for nonconforming items. For AQLs of 10 orless these OC curves are also applicable to inspection for number of nonconformities.
For each of the curves shown, values of the quality of submitted product corresponding to selected values ofprobabilities of acceptance are shown in tabular form. in addition, values corresponding to tightened inspection, andvalues corresponding to sampling for number of nonconformities for AQLs of 10 or fewer nonconformities per 100items are also given.
Normalized scheme OC curves found in Table 12 indicate the long-range percentage of lots of various qualities that willbe accepted, taking into account the switching rules but disregarding the effect of the rule for discontinuation ofinspection (9.4). The abscissa is the ratio of the process quality to the AQL. Each curve represents an acceptancenumber for normal inspection.
12.2 Process average
The process average can be estimated by the average percent nonconforming or average number of nonconformitiesper 100 items (whichever is applicable) found in the samples of product submitted by the supplier for originalinspection, provided that inspection was not curtailed. When double or multiple sampling is used, only first sampleresults shall be included in the process average estimation.
12.3 Average outgoing quality (AOQ)
The average outgoing quality is the long-term average quality of outgoing product for a given value of incoming productquality, including all accepted lots, plus all lots which are not accepted, after such lots have been effectively 100 O/.
inspected and all nonconforming items replaced by conforming items.
12.4 Average outgoing quality limit (AOQL)
The AOQL is the maximum of the average outgoing qualities for all possible qualities submitted for a given acceptancesampling plan. Approximate AOQL values are given in Table 8-A for each of the single sampling plans for normalinspection and in Table 8-B for each of the single sampling plans for tightened inspection.
12.5 Average sample size curves
Average sample size curves for double and multiple sampling, as compared with the corresponding single samplingplan for each acceptance number, are given in Table 9. These curves show the average sample sizes which may beexpected to occur under the various sampling plans for given levels of process quality. The curves assume that theinspection is not curtailed (see ISO 3534-2:1993, 2.5.7).
12.6 Consumer’s and producer’s risks
12.6.1 Use of individual plans
This part of ISO 2859 is intended to be used as a system employing tightened, normal and reduced inspection on asuccessive series of lots to achieve consumer protection while assuring the producer that acceptance will occur mostof the time if quality is better than the AQL.
Occasionally, specific individual plans are selected from this part of ISO 2859 and used without the switching rules. Forexample, a purchaser may be using the plans for verification purposes only. This is not the intended application of thesystem given in this part of ISO 2859 and its use in this way shall not be referred to as “inspection in compliance withISO 2859-1”. When used in this way, this part of ISO 2859 simply represents a repository for a collection of individualplans indexed by AQL. The operating characteristic curves and other measures of a plan so chosen shall be assessedindividually for a plan from the tables provided.
12.6.2 Consumer’s risk quality tables
If the series of lots is not long enough to allow the switching rules to be applied, it maybe desirable to limit the selectionof sampling plans to those, associated with a designated AQL value, that give consumer’s risk quality not more than aspecified limiting quality protection. Sampling plans for this purpose can be selected by choosing a consumer’s riskquafii (CRQ) and a consumer’s risk (probabilityof lot acceptance) to be associated with it.
15
—-”-l
lS2500(Partl ):2000ISO 2859-1:1999
Tables 6 and 7 give values of consumer’s risk quality (CRQ) for a consumer’s risk of 10%. Table 6 applies wheninspecting for nonconforming items and Table 7 applies ,when inspecting for number of nonconformities. For individuallots with quality levels less than or equal to the tabulated values of consumer’s risk qualities, the probabilities of lotacceptance are equal to or less than 109’.. When there is reason for protecting against a specified limiting quality in alot, Tables 6 and 7 may be useful for fixing minimum sample sizes to be associated with the AQL and inspection levelspecified for inspection of the series of lots. ISO 2859-2 gives details of the procedure for selecting sampling plans forlots in isolation.
EXAMPLE Assume a consumer’s risk quality of 5 % nonconforming items with an ass~iated probabilii of acceptance of10 % or less is desired for individual lots. If an AQL of 1 ?4. nonconforming items is designated for inspection of the series of lots,Table 6-A indicates that the minimum sample size shall be given by sample size code letter L.
12.6.3 Producer’s risk tables
Tables 5-A, 5-B and 5-C give the probability of rejection for lots of AQL quality on normal, tightened and reducedinspections, respectively. This probability is denoted as producer’s risk in 2.6.7 of ISO 3534-2:1993.
13 Fractional acceptance number plans for single sampling (optional)
13.1 Application of fractional acceptance number plans
This subclause specifies optional procedures for fractional acceptance number sampling plans. The optionalprocedures may be used with the approval of the responsible authority. Unless otherwise specified, standardprocedures shown above shall be followed.
Fractional acceptance number plans are found in Tables 11-A, 11-B and 11-C. For normal and tightened inspection,the fractions 1/3 and 1/2 are found in place of the two entries with arrows in Table 2-A and 2-B between the plans foracceptance number O and acceptance number 1. For reduced inspection, the fractions 1/5, 1/3 and 1/2 are found inplace of the three entries with arrows in T4ble 2-C between the plans for acceptance number O and acceptancenumber 1.
The use of fractional acceptance number plans does not require a change in sample size code letters, with thecorresponding change in sample size, when the combination of sample size code letter and AQL results in a planbetween the Oand 1 acceptance number as described in 10.3.
13.2 Acceptability determination
13.2.1 Inspection for nonconforming items
13.2.1.1 Constant sampling plans
When th~ fractional acceptance number sampling plans remain constant for all lots, the following rules apply.
a) When there is no nonconforming item in the sample the lot shall be considered acceptable.
b) When there are two or more nonconforming items in the sample, the lot shall be considered not acceptable.
c) When. there is only one nonconforming item in the sample from the current lot, the tot shall be consideredacceptable only if no nonconforming items have been found in the samples from a sufficient number ofimmediately preceding lots.
For an acceptance number of 1/2 one such lot is required. For an acceptance number of 1/3 two such lots arerequired. For an acceptance number of 1/5 four such lots are required. Otherwise the current lot shall beconsidered not acceptable. If the first lot inspected has one nonconforming item, that lot is not accepted.
16
IS 2500( Partl):200cfISO 2859-1:1999
13.2.1.2 Non-constant sampling plans
When the sampling plan does not remain constant for each successive lot, because of varying lot sizes and/orswitching, use an acceptance score that is calculated and used as follows.
a) Ffeset the acceptance score to zero at the start of any phase of normal, tightened or reduced inspection.
b) If the sampling plan obtained indicates an acceptance number O, the acceptance score shall beunchanged.
If the given acceptance, number is 1/5, add 2 to the acceptance score.
If the given acceptance number is 1/3, add 3 to the acceptance score.
If the given acceptance number is 1/2, add 5 to the acceptance score.
If the given acceptance number is 1 or more, add 7 to the acceptance score.
c) When, for fractional accerXance number plans, the updated acceptance score prior to inspection is 8 or
kept
less,
the lot can be considered acceptable only if” there “are no nonconforming items in the” sample. When, forfractional acceptance number plans, the updated acceptance score prior to inspection is 9 or more, the lot canbe considered acceptable only if there is at most one nonconforming item in the sample. When the acceptancenumber is an integer, use this acceptance number to determine acceptability (in accordance with 11.1.1 or11.2).
d) If one or more nonconforming items are found in the sample, reset the acceptance score to O (i.e. after makinga decision regarding the acceptability of the lot).
The acceptance score shall be updated (added to) after obtaining the sampling plan but before deciding on theacceptability of the lot. The acceptance score shall be reset after the acceptability decision is made. in contrast, theswitching score (see 9.3.3.2) shall be added to or reset after deciding on acceptability of the lot.
NOTE When an acceptance score is used for the case of constant sampling plans, the results are the same as 13.2.1.1.
13.2.2 Inspection for number of nonconformities
In order to determine the acceptability of a lot when inspecting for number of nonconformities, the procedures specifiedfor inspection for nonconforming items (see 13.2.1 ) shall be used, except that the term “nonconformities” shall besubstituted for “nonconforming items”.
13.3 Switching rules
13.3.1 Normal to tightened and tightened to normal
These rules are the same as indicated in 9.3.1 and 9.3.2, respectively..
13.3.2 Normal to reduced
The rule for updating the switching score (9.3.3.2) under single sampling when using a fractional acceptance number isas follows.
a) When the given acceptance number is 1/3 or 1/2, add 2 to the switching score if the lot is accepted; otherwisereset the switching score to zero.
b) When the acceptance number is zero, add 2 to the switching score if no nonconforming items are found in thesample; otherwise reset the switching score to zero.
17
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IS 2500( Part 1 ) :2000ISO 2859-1:1999
13.3.3 Reduced to normal inspection and discontinuation of inspection
The rules are the same as indicated in 9.3.4 and 9.4, respectively.
NOTE Fractional acceptance number sampling plans are not applicable under the ISO 2859-3 skip-lot sampling system.
13.4 Non-constant sampling plan
An example given in annex A illustrates the application of this acceptance sampling system using the optionalfractional acceptance number plans with variable lot size.
It is assumed throughout this example that a series of lots are submitted for inspection for nonconforming items, andthat it has been agreed to use an AQL of 1 % nonconforming items with general inspection level Il. The results for thefirst 25 lots are given in annex A.
i
18
Table 1- Sample size code letters (see 10.1 and 10.2)
Lot size
2 to 8
9 to 15
16to 25
26 to 50
51 to 90
91 to 150
151 to 280
281 to 500
501 to 1200
1201 to 3200
3201 to -10000
10001 to 35000
35001 to 150000
150001 to 500000
500001 and over
s-1
A
A
A
A
B
B
B
B
c
c
c
c
D
D
D
Special inspection levels
s-2
A
A
A
B
B
B
c
c
c
D
D
D
E
E
E
s-3
A
A
B
B
c
c
D
D
E
E
F
F
G
G
H
s-4
A
A
B
c
c
D
E
E
F
G
G
H
J
J
K
General inspection levels
I
A
A
B
c
c
D
E
F
G
H
J
K
L
M
N
II
A
B
c
D
E
F
G
H
J
K
L
M
N
P
Q
Ill
B
c
D
E
F
G
H
J
K
L
M
N
P
Q
R
No
Table 2-A — Single sampling plans for normal inspection (Master table)
L-J I Acoeptanoequalitylimit,AQL, In percentnonconformingitemsand nonconformitiesper 100 items (normal inspection)‘“...,..,
aim same 0,010 (),()15 0,02!5 0,040 m= 0,10code size0,15 0,25 0,40 0,66 1,0 1,5 2,5 4,0 G,!j 10 15 25 40 65 100 Iw 250 400 650 Iorl
letter AcFte Ac Re Ac Re Ac Re Ac Re Ac Re AC% AC Re AC Re AC Re AC Re AC Re AC Re AC Rfj AC Re AC Re AC Re AC Re AC Re AC Be AC Re AC F@ AC Re AC Re AC Re Ac R
A 2
B 3
I - .: , - - -
[ ~ ; : ~ : :; :: 34 5’ 76 10’1 14’5 2122 :12 23 34 56 76 10 11 14 15 21 22 30 31 44 4
c 5 76 10 11 14 15 21 22 30 31 44 45-. -.. -- -. ---
1111--::/1-~1~1n.---
D 8 01 0 v 12 23 34 56 76 1011 1415 2122 3031 4445 6
E 13 01 0 + 12 23 34 56 7s 1011 1415 2122 3031 4445 0
F 20 01 0 v 12 23 34 56 78 1011 1415 2122 A
- -- -. -.. -- - . . --
G 32 01 6 v 12 23 34 56 78 1011 1415 2122 - ‘- - - -
H 50 01 0 + 12 23 34 56 7s 1011 1415 2122
J 60 01 + + 12 23 34 56 7s 1011 1415 2122-. - . . --
K 126 01 0 + 12 23 34 56 76 1011 1415 2122 - ‘- - ‘- - - - -
L 200 01 0 + 12 23 34 56 78 1011 1415 2122
M 315 01 6 v 12 23 34 56 78 1011 1415 2, 27. f)i [ II I -Ill”” I ‘: : “ “ - : :
-. - .- - -
-T,-u_rl,.T,-u-r- .- -. -. - - -. -
I 1 a 1 I ,,, ,,, ,,, s,,
~-il-+-ll-l--
Tu
--lJ 01 0 ~-!-- -_+-+1-+ -11-l- +ti-i F+-11-t-
N600 12 23 34 56 7s 10 11 14 15 21 22
Peoo 01 6 + 12 23 34 56 78 1011 1415 2122
Q 125001 vv 12 23 34 56 78 1011 1415 2122--
! vII[1!
Table 2-B — Single sampling plans for tightened inspection (Master table)
Ssmpk
eize Semp
code size
Idler
A 2
B 3
c 5
D 8
E 19
F 20
G 32
H 50
J eo
K 125
L 200
M 315
N 600
P Soo
Q 1260
R 2000
s 3150
Acceptance qualitylimit,ACJL,inpercentnonconformingitemsand nonconformitiesper 100 items (tightened inspection)— .
1,02—
4(2R—
—0,06—
ACR—
2,5
——0,01—
AcR
—D,04.
4CR—
,.
. .
.
—0,65
—
Ac R—
— — — —400
—650
—0,01 0,15 0,25 0,4(
*
1,0 1,5
4cRe AcRf
4,0—
lc Rf—
!
01
6,5—
ACR
10—kc R
25
Ac RI
40—
Ac RI
65 100 15C 25C Ic— —
Ac R \c RI 4CRI +CR 4CF Ac R Ac R 4CR— — — — —
-, ,
-, .
., .
v
)1
1-.w.
)1
n90<
“012
2s
v12
23
34
56
69
1213
1619
0“
1!12 2
3
5
34
56
89
1213
1819
51
6!
121
B’
121
161
121:
18 1!
272[
18 1!
272[
414
27
4123
34.<
,.
.
T.
-,
I.)
— — — — — —
J12—
23
34
56
01 1:
2:
3f
6
121
181
181’
2721
A
.
-
-
- .
414:
(1 89
D1
01
n
t
1
12
12 23
12 23 34
23 34 56
34 56 89
56 89 1213
89 1213 1619
121:— — —
. .
12 5f
8$
121:
181$
I
-.
-.
--
23
34— — —)1
!
56 09
1213
1819—
II
--
09
1213— —
2
!3
‘4
!3
14
16
14
i~
19
1819
-!M1213 1819
1819 ~ !I116— — —
6 ‘9 21:
-12. — — — — — —
V = Usethefkatswnpling plan balmvthe arrow. If samplesize equals,or exceeds,lotsize, carryout 100 % inspection.
~ = Use the firstsamplingplan above the arrow.
AC= Acceptancenumber
Re = Rejectionnumberrg
..
–L%-
..$
. A>’k!s.dd-. . .... . . . .
ION
Table 2-C — Single sampling plans for reduced inspection (Master table)
Sarnpi
size
Acceptancequalitylimit,AQL, inpercentnonconformingitemsand nonconfonnitiesper 100 items (reduced inspection)
0,06s
—0,1
hc I
I
\
o
4
4
1
z
3
—0,15—
(c Re—
—0,40—
4CR<—
I—
91
0
i
12
23—
34
56
57—
39.
0>65 4,0 6,5 10
Ac Re Ac Re Ac Re
v 01
01 0
G
$
J
n
12
12 23
12 23 34
23 34 56
34 56 67
56 67 69
67 69 10 11
69 10 11
10 11. --
T II 1
-- -.. --
15 25
$CRe Ac Re
!
12
12
12 23
23 34
34 56
56 67
67 89
B9 10 11
AC
2
2
3
5
6
8
10
d
—65
—
\c R—
3
3,
5(—
5“
B!
01—
i ~—
—D,OII—
ic R{—
—0,02—
kc R—
I
\—
01
II—
4(
7
7
8
a
4
—250—
LCR—
01
01
01.
41
!1 2
A
—
—00(
—
c R{—
03
03
0,01’ 0,25 1,0 1,5 2,5 100 400code eize
2
2
2
letterAc R Ac RI Ac Rf Ac R( Ac Re Ac Re
- .
- .
- .
- .
v
01
v-.
1-.-.01
6
!,-.01
0
n—01
0
‘812
23—
34
56
67—
69
0 1’
!—
A
B
c
56
56
67
14 1!
14 1!
14 1!
3
5
8
69
10 1’
A
21 22
A
L
o
J—12
23
34
n12
G
H
J
13
20
32
12
23
34—
56
67
S9—
o 1“
v.-— i
011’
--
--
5
!—12
?3
)4—
i6—
!12
K
L
M
50
60
125
23
34
66
N
P
Q
200
315
500
23
34
56
56
67
99—
0 11
67
69
10 1’
T
)1
R 600 23 67—
V = USS the firstsampling plan below the arrow. If sample size equals, or exceeds, lot size, carry out 100 % inspection
~ = Use the first sampling plan above the arrow.
Ac = Acceptance number
Re = Rejection number
Table 3-A — Double sampling plans for normal inspection (Master table)I I 1 I I 1
.%mple CUM(J.ah *pk Smpb Iativecods Si?M Sampk 0,01(
Isttor“- ACl?
A
B J& ; :
c z : ;. .
0 = ; ,;
E ~ ; ,:
F ~ ;; :
GFirst 20 20 - -
3acond 20 40
HFirst 32 32
3econd 32 64
J ~ ~ ,:- .
K = : ,%
LFksI 125 125
Bacerut 125 2SI
MFirst 200 200
Bacond 200 400
NFirst 315 315 - -
BacOnd 315 630
PFirst !50a 500
second 500 logo v
QFirst 600 m
Bacond 600 1W3 ●
RFirst 1250 1250
second 1250 2500 G
),015 ),02
Ic RI—
kF
—
●
V.-●
—
4)
—)I
),04
121;—):1,—
Acceptancequalitytimit,A(IL, in percent nonconforming items and noncontormities per 100 items (normal inspection)
),06
tc R
-
0,10 0,15 0,25 0.40 0,65 1,0 1,5 2,5 4,0 6,5
Ac Re Ac Re Ac Re Ac Re ACRe Ac Re ACRe Ac Re ACRe ACRe
~ ~ I ~ 1 - -
[ [
nv :
● t
● 4 +---.--,______ ----● 0 + ;;
● 0 0 :: :;
● 4 + :; :; j;---,--,----
* ~ + :; 03 13 2534 45 67
0 + :; 03 13 25 36
● 34 45 67 9 10
4 + ;; 03 13 25 36 59
● 34 45 67 9 10 12 13---
G * ;: 03 13 25 36 59 7 11
● 34 45 67 9 10 12 13 18 19
0 + ;: 0 3 13 25 36 59 7 11 11 1634 45 67 9 10 12 13 18 19 2627
+02 03 13 25 36 59 7 11 11 1612 34 45 67 9 10 12 13 18 19 2627
--02 03 13 25 36 59 7 11 11 1612 34 45 67 9 10 12 13 18 19 2627
03 13 25 36 59 7 11 11 1634 45 67 9 10 12 13 18 19 2627
13 25 36 59 7 11 11 1645 67 9 10 12 13 18 19 2627
25 36 59 7 11 11 1667 9 10 1.2 13 78 19 2627 1- 1 : 1 ,10 - - ‘- ‘-
0= Use ~ first aamplin9 planklow thearrow.If samplesizeequals, or exceeds, lot size, carry out loa % insrmcfion.
6. Uae the first sampfing plan above the arrow.
Ac= Acceptancenumber
Re = Rejectionnumber
● = Uaathecorrespondingsinglesamptingplan(oralternativelyusethedoublesamplingplanbelow,whereavailable).
10—
\c Rf—
!
)212—) ~
14
1345
25s?
363 10
592 1:
118 1$—1 1(‘6 2;—
I
--
--
—
3131
521
!.
81
—
25—
4CR—
●
—13
1:4!
2!6’
3f9 1(
‘181
11!6 2
40
4CR—
.—
1:4!
2!6“
3(9 1(
5!
12 1
‘118 1
11!6 2
65
Ac RI—
●
2:67
369 lC
5912 1:
7118 1!
11 1(262
●
363 1(
18 11
1 1(62
Ac I
*
5!2—116—11?6
1737—
4
L
40C
k R
1 1!6 2.7217 3—!5 316 5—
6
- .,
u—
65(
4C R
●
17 217 3—!5 3i6 5—
—
—100
k R
?5 3i6 5—
A
—
I
Table 3-B — Double sampling plans for tightened inspection (Master table)
AccSObNi@3aualifv limit, AOL, in oarcent nonconforming items and nonconformities par l@l items (@fItti ins~on). .
0
cl
*
32—
c
1,065 0,10 0,15
c Re Ac Re Ac Re
~:“ j 1
.-
--
---
●
●
●
- -1 -
~
n
0212
02 0:12 3A
02 0 31212 3 445
2 313 253 44 567
—0,40 40 65 100
CRS Ac Re Ac R{
● * ●
3 13 254 45 67
3 25 475 67 10 1
5 47 6 1(,7 10 11 15 1[
$7 6 10 9 1,) 11 1516 232,
j 10 9 14 4516 2324
-! -I 14324
I ~ : .
-. .
- -
. -
—150
.250
—,015 1.0 1,5 2,5 4,0 6,5 10 15
k Re Ac Re Ac Rs Ac Re ACRS Ac Re AcR
~ ~ 1 _ , n
n : J
n
o:* 1:
.- -- --- --
n -
02 0● 12 3
● n02 03 1:12 34 4!
+
fOO 650
cRe AcRl
0,25
CRc—*
—47D 1’—; lC516
cRe.
●
—j 10516—I 14324
G435—329263
c Re—r
. .
. .
. .
- .
e
●
z
k Re 4CRC—
1
-.
--
—
*—
n
-.
—0212
k2RE—
~
-.
---
●
n
● ✎
~ 14 15 2(124 34 3!
5 20 23 2!4 35 525
329 A263
A
) 1,3 2~—5 2(4 3!
A
. .
. .
. .
. .
—
● Inl+
#i
::1::1 :::0313254’344567fOl
1325476145671011151
2547610916 7 1011 1516232
J-JL1 1’ ‘1- “L
t! 02
!1+12
02031234
●
0212—3234
03 13 25 47 6 10 9 1434 45 67 10 11 1516 2324
13 25 47 6 10 9 1445 67 10 11 1516 2324
25 47 6 10 9 1467 10 11 15 i6 2324
-- --47 6 10 9 14
10 11 1516 2324
6 10 9 141516 2324
9 142324
- 11- 1 - I 1 :1 ~G - - ‘- ‘- ‘-
n02 0:
3,—14:
1345.2567
12—0234
1345
2!
67—4;
10 1—6 1(15 1(
4110 1
25 6 1(151(—9 1232
67—
4710 1’
0’= use t~ first sampling plan below the arrow. If eampla size equals, or exceeds, lot size, carry out 100 % inspection.
~= Uaa tha first sampling plan above the arrow.
Ac = Acceptance number
Re = Rejection number
● = Use the corresponding single sampling plan (or alternatively use the doubfe sampting plan below, where available).
-.
Table 3-C — Double sampling plans for tieduced inspection (Master table)
_LkCumu-Samp!e Islive
eke emn,le 0’01(
‘e Ac R,
ercent nonconforming items and nonconformities per 100 items (reduced inspection)Acceptancequalitylimit,AOL,k-w@
aimcodaIdrsf
A
B
c
D
E
F
G
H
J
F4,0 6,5
k Re ACRS
—15
—25
CR
—40—
CR—
●
— —401
—650
—00
—
CR
—Sempb
First3acorld
x
K3acond
Firsl
Firs43ac0nd
),015 ),02! ),04 ),06! 0,10 0,15 0,25 0,40 0,65 I 1,0 I 1,5 I 2,5 10 65—
kcRe k R’ k R k Re k Rf (CRt k Rel Ac Rel Ac Rel Ac Re \CRc k Re c R—
●
—. %
c Rs Ac Re Ac R<
● **
***
\c F (c R
- .2 22 4
3 33 6
5 55 10
- .8 88 16
13 1313 26
20 2020 40
32 X2 - -32 64
60 60m 100
w sow 160
125 125 - -125 250
200 2002oa 400 v315 315315 630 ●
. -
. -
. -
- .
v—
●
I-.---●
n—>2}2
● ● ●
✎
●
●
* ● ●
●
�
) 314
*—
u
●
�
.!—!,i(
. . ● ●
47 59 710 11 12 13 la 1
59 7 11 11 12 13 18 19 262
A A A-. .- - .- .
,. -. .- - .- .
-. .- - .- .
.! -. .- - .- .
. u
—1(‘1—4’01
)3)4
1345
T-02031234
03133445
!345
2456
4:D1
5!
211(
‘f
2456
36ra
5{
21
13244556
3678
470 11
5{
21●
+
2436567a
3647761011
470 11
592 1:0
—
nin12
G34
in45—2456—3678—
0203132412344556
592 1:
K
LFlrel
second0212—1:14—1345
=S6—3676—47
10 1’—
QIA1.L?)3132436
i
475910 11 12 1:
5912 13
--
----
●
— —First
second 4) UJ.w.kiM ●
— — —Firsl
3ecorui 0.
n24136 !47159
N
P
Q
R
n●
�
v,-5676101 i121:
First3ec0nd
Yx-SecOnd
FirmSecond HI
3647597aloll 1213
475910 11 12 13
5912 13 1+- -
01
r3V-.w o
1 —
V = Use the Iket sampling plan below me arrow. If sample size equals, or exceeds, lot size, carry out 100% inspection.
4’= Usemefirstsampfing plan above the emow.
AC = b- num~r
Re = Rejec60n number
● = Use the oorreqmding singte sampling plan (or alternatively use me double sampling plan below, where available).
.*
—L
.._..._- .—.——.__ ———.——
*,. ~...,<.<.-. . ...A+U . ..’.
,<”>.,... . . ... .. . ?s...*Lal&z
Table 4-A — Multiple sampling plans for normal inspection (Master table)
AccerNance aualitvlimit, AQL, in percent nonconforming items and nonconformltles per lGO items (IIO~d iWWCfiO?I)*we!c4sSnar
Curnu. —),040—
k R
—0,C6!
. .
15 25 40
k Re Ac Re Ac Re
!
+ “
++ ++
++ ++ ++
#3 #4 04
D3 15 16
14 26 3s
25 47 59
$5 67 9 10
#4 04 05
15 16 3s
26 38 s 10
47 59 9 12
67 9 10 12 13
04 05 17
16 38 4 10
38 6 10 8 13
59 9 12 12 17
3 10 12 13 18 19
05 17 29
3s 4 10 7 14
5 10 8 13 1319
3 12 12 17 2025
12 13 1s 19 2627
65 100
ACRe Ac R(
. ●
++ ++
++ ++
05 17
38 4 lC
6 10 8 12
9 12 12 1;
12 13 18 1!
17 29
4 10 7 14
8 13 13 1!
12 17 20 2!
1s 19 262
29
7 14
13 19
2025
2627
, 1
—.650—.
ICRe k(—-
.—.++—
++—
. .
. -
. -
—
—Ooo—
cRe
—),01(—
k RI—
—.0,40 (
—.
AcRe t—.
. .
.,
—1,0
—
4CR@—
SamF4ssize
0,15—
kc RI
0,25—
AcRI
),65—
CRf—
*
—v—
1,5 2,5 4,0 6,5 10San@a
Sk@—,CR@—
n—
●
—v—II—n2
02
32
02
12
ICRe—
●
F
F—V2
12
)2
)2
12
AcRe—
n—42
03
03
13
34
,cRel AcRel AcRfkcRI AcR
‘1”1’A
., -
. -
. .
- -
v—
B
F—
D
—
E
—
F
—
G
—
++ *+ ++
++ ++ ++?9 4 12 6 16
++
—
F-
IaCoru
Third
Fou161
F3fth
2
2
2
2
2 n—J2
)2
)2
32
12
2
4
6
e
10
‘ 14111 191172
3 19 1927 29 3[
04263414”4’
+
627 37 3f
112616mar
3aocn
Third
FciwttI
Fti
F2
D3
D3
13
34
#3
03
14
25
45
3
a
3
3
3
3
6
e
12
15
I119172
I927 29 3[
i
---
Fti
Samll
Third
Fowtt
F~
5
5
5
5
6
5
10
15
20
25
#3
03
14
25
65—$4
15
26
47
67—
#4
15
26
47
67—04
16
36
59
9 1(—
— —mar
sawn
n-id
Fowtl
F*
8
a
8
8
8
8
16
24
32
40
#:
o:
1,
2!
b’— — —
v = Use the first sampling plan below the errow. If sample size equals, or exceeds, lot size, carry wt 100 % inspection,
O = Use the first sampling plsn above the amw.
Ac. Acceptanoa number
Re= Rejaotionnumber
● = Uaatheccwaapondingsinglesamplingplan(oralternativelyusethedoublasampling pian balow, where availsbla),
++ = USS the corraeponding double sampling plan (or aitematiiely use the mutlipla sampling plan Mow, whare available).
# = Aooeptansa is not permitted for this sample size.
i-...
Table 4-A — Multiple sampling plans for normal inspection (Master table) (continued)——
Acceptance quality limit, AQL, in percent nonconforming items and nonconformities Per 100 items (normal insiYection)Cww
4,0
Ac Re
#4
15
26
47
67
6,5
Ac Re
04
16
3s
59
9 10
—),01—
lcu—
—1,01—
b2P—
.),02—
bF.
—),04—
lcF—
—),06—
kF—
— — — —1,0
—
k Re.#2
02
02
02
12—
1,5
Ac Re
#2
03
03
13
34
2,5
Ac Re
#3
03
14
25
45
0,10 0,15 0,40 0,65 25 100 150 250 400—
MRJ
650 1000
k RI kR( k R( &cRI—
n—
k RI k RI AcR #mRe
Fti 13
3aoald 13
Thbd 13
13
26
36
62
65 -n---●
:1-n
#2
02
02
02
12
v 05 1’
36 41
i 10 61
2!
rl
31
0 2
62—
●
✎I-1
#2
02
02
02
12
IV2
03
03
13
34
H
—
J
FOurthl 13
1112121
213181
+
Fmh 13
F- 20-
20
40
60
30
100—
32
64
26
126
160
#2
02
02
02
12
#2
03
03
13
34
‘*3
03
14
25
45
4r4
15
26
47
67
#4
15
26
47
67
04
16
38
59
9 10
05
36
6 10
9 12
12 13
17 2’
4 10 71
8 13 13 1
12 17 20 2
18 19 26 2
29
7 14
13 19
2025
26 27
[ I
.-
IThirdSo
FoUtlhl 20
+
Finh20
Fbsr32 *2
02
02
02
12
#2
03
03
13
34
43
03
14
25
45
04
16
36
59
9 lC
05
36
6 10
9 12
12 13
17
4 10
6 13
12 17
18 19
29
7 14
13 19
2025
2627
II
wand 32
TMfd 32
Fou!th 32
K
t
Fmh32
F- 50
3ac0nd50
50
lcil
150
2C9
250
#2
03
03
13
34—83
03
14
25
45
e3
03
14
25
45—U4
15
26
47
67
*4
15
26
47
67—04
16
3s
59
9 lC
04
16
36
59
9 lC
05
36
6 lC
9 12
12 1?
05
36
6 lC
9 12
12 13
17
4 10
6 13
12 17
16 1S
17
4 10
8 13
12 17
16 19
29
7 14
13 19
2025
2627
L
—
M
Fowthl60
+
Finh50
F- 60—60
160
240
320
400
kond 60
mrd 60
I%urttlI 60
~= Ueethefirat aamplingplsn tralowthe arrow. If ew’npleeize equals, or exceeds, lot size, carry out 100 % ms.pect,on
0 = Use the firaf sampling plan above the arrow.
k = A~ numw
Re . Rejec60n number
● = Use the corraaponding single sampling plan (or atternelively uee the double eampling plan below, where avaiiable)
++.= Use the cormapendiig double sampling plan (or alternatively use the mutliplesampling plan below, where available).
# = Acceptance is not permitted for thie aempie eize.
N03
eswJs
~ - y
htler
Fins 125
Saoend 125
N TM 125
Fouim 125
Fiflh 125
Rrd 200
3smnd 200
P mm m
Foulth 200
Rfal 200
First 315
3amncl 315
Q TIW 315
Fourlh 315
Finh 315
Rrst 500
3soond 500
R mrd 5rM
Fo4sth 540
Fmtr 500
Table 4-A — Multiple sampling plans for normal inspection (Master table) (conch.ded)
-.—..I Acceptance quefify limit, AQL,inpercentnonconformingitemsandnonconformitiesper 100 items(normalinspection)
0,063
Ac Re
n
#2
02
02
02
12
i12
03
03
13
34
#3
03
14
25
45
T0,10 0,15
kRe AcRe
#2 #2
02 03
02 03
02 13
12 34
82 #3
03 03
03 14
13 25
34 45
#3 #4
03 15
14 26
25 47
45 67
#4 04
15 16
26 38
47 59
67 9 10
0,25
ACRe
#3
03
14
25
45
#4
15
2e
47
67
04
16
38
59
0 10
05
36
6 10
9 12
12 13
0,40 ,0,65 1,0 1,5 2,5 4,(
Ac Re Ac Re Ac Re Ac Re Ac Re ACF
*4 04 05 17 29 A
15 16 36 4 10 7 14
26 36 6 10 6 13 13 19
47 59 9 12 12 17 2025
67 9 10 1213 1s 19 2627
04 05 17 29
16 36 4 10 7 14
38 6 10 8 13 13 19
59 9 12 12 17 2025
9 10 12 13 1s 19 2627--
05 17 29
36 4 10 7 14
6 10 a 13 13 19
9 12 12 17 2025
12 13 16 19 2627
~-1 I ‘: ~
-- ---17 29
4 10 7 14
6 13 13 19
12 17 2025
16 19 26 27v0 = I.he ths first sampling plan below the arrow. If sample size equals, or exceeds, 101size, carry out 10+3% inspection.
O = Usethafirst samplingplanabovethearrow.
Ao= ~ n~bgr
Re = Rejactimnumber
● = USSthecorresponding single sampling plan (or altamatively use the double sampling plan below, where available).
++ = LISSthe corresponding double sampling ptan (or &dternafivelyuse the mutliple sampling plan below, where available).
# = Aooeptance is not permitted for this sample size.
—6,5—
hcH—4
—
10 15
u Re Ac R
A A
—25—
CR—A
—
40 65
LCRe Ac R
A A
-~1- - -
—100—c R—A
.I—
—150—
c RI—4
,. -
. -
—
—250
.
Ac R@—A
-! -
- -
- -
1.—
—650—
c Re—A
. -
. -
. -
—
—la!—
ICRe—A
. . -
- . -
—
_. —...—
s!
Table 4-B — Multiple sampling pians for tightened inspection (Master tabie)—
Acceptance quality limit, AQL, In percent nonconforming items and nonconformities per 100 items (tightensd inspection)—0,65—
ACRe
—254—
k RI
—400
.
Ac Rt
(),2: 0,4 1,0 1,5 2,5—
$CR
4,0—
k Rc—
!—●
6,5—
k RI
z—●
—
II—#2
02
02
02
12—B2
03
03
13
14
10 15
ACRe Ac R@
J’j 4
++
82 #2
02 03
02 .0 3
02 13
12 34
#2 #3
03 03
03 14
13 25
34 45
Ss #4
03 15
14 26
25 47
S5 67
#4 04
15 27
26 49
47 6 11
B 7. 1011
25—
Ac R( +
40 65
AcRe AcRe +
100 l!X
AcRe Ac17
650—
k RIIerbl
4cR—
. .
. .
.
v—
kcR—
r
. .
. .
. .
. -
v—
AcRI—
1
-.
--
—
●
—
n—
k RI
Rtar 2
Second 2
mrd 2
Fourth 2
Fif61 2
Firal 3
Saoond s
TMrd s
FWUI s
F~ 3
Fkat 5
w 5
mint 5
Fourth 5
Fifnl 5
mar e
second 8
mrd e
Fourth 8
Fti e
A
-ii-
-i7—
D
—
E
—
F
.
G
1..—●
n—●—
I.)2
)2
)2
)2
2
*—++—++—
$3
03
14
25
45—#4
15
26
47
67
● ●
4-+ ++
++ ++
r14 04
15 27
26 49
47 6 11
67 1011
04 06
27 39
49 7 12
6 11 11 15
10 11 15 167● *+++-4
++- 4-+
0611
3961
712111
11 15 162
15 16 232
1631
612101
11 17 172
1622 25 3
2324343
● * *
++ ++—++—
6 15
16 2!
26 3!
3a 4:
52X—A
- -
- -
A—
++—● ☞☞
�
✎ ✍
✎ ✍
✎ ✍
++—
.. -
—++—I 1(
o 1’
72
‘5 3
da—i 1!
6 2!
6 3!
8 4{
25—
1
—2
4
6
8
10-3
6
e
12
15
I--5
10
15
20
25
I!2
>2
)2
12
12
04
27
49
6 11
10 11
06 16
3e 6 12
7 12 11 17
11 15 1622
15 16 2324
T’18
8 12
11 17
16 22
2324
6
16
24
32
40
F3
33
14
25
15—
06
39
7 12
11 15
15 16—
●
—
Q = Ueethefirstaarnpling plan below tha arrow. If aampla eize equala, or axceeda, lot eiza, oerry out 100 % inepaotkm
6 = Use the first sampling plan above the arrow.
Ac = Accaptanoe number
Re = Rajaotbn number
● = Uae the cmaaponding aingla aamplhg plan (or alfamattveiy uae tfre dout4e aamphg plan bebw, where availebk).
++ = Uaa the oorreaponding double sampling plan (or aifemativety uaa tha muflipla sampling plan below, whera availaMe).
# . Acoeptanoa is not permitted for ~ie aemple tie.
-w~ - yIm9r
Rr8r 13
Saasld 13
H Tfrir71 13
Fourlh 13
Fiith 13
F- 20
eacond 20
J mrd 20
Fourth 20
Fifth 20
FW 32
saoond 32
K mrd 32
FowltI 32
Fm 32
Rra4 60
second 50
L mwf 60
Fou#I 50
Fti 50
Rrat 60
eacorrd 60
M lhird 80
“I%urm 80
Fmh 60
Camuhuva
awmah
13
26
se
52
6S
20
40
60
80
100
32
64
*
126
180
60
100
160
m
260
80
160
240
S20
403
Table 4-B — Multiple sampling plans for tightened inspection (Master table) (continued)
—0,01—Ac$ 4CR
Accepfsnca guslitylimit, AQL, In I—
0,1[ 0,1! 0,2!
—0,40
kcfl kfl ACR Ac R(
●
�
.
[—
n—.
#2
02
02
02
12—
.
82
02
02
02
12
#2
03
03
13
34—
!rcent nonconforming items andnonconformitles per 100ltems (tightened ir Iection)—0,65
lr2
02
02
02
12—n2
>3
33
13
14—!3
>3
14
?5
Is—
1,0
4CRf
II—#2
02
02
D2
12—!2
D3
33
13
14—!3
)3
14
25
15
!4
15
26
$7
37
1,5
#z
02
02
02
12—M2
03
03
13
34—#3
03
14
25
45—#4
15
26
47
67
04
27
49
6 11
10 11
2,5
AcRe
*2
03
03
13
34—#3
03
14
25
45—#4
15
26
47
67—04
27
49
6 11
10 11
06
39
7 12
11 15
!5 16
V = Ma the first sampling plan below the arrow. If aampfa size equals, or axceeda, lot size, carry out 100 0/0mspeciion.
‘O=U= MOWeteemplhg plan above the arrow.
Ac = Acceptance number
Re . Rajacfim number
* = We the mrraapodng single aam~hg plan (or aftematively usa tha double samphrrgplan below, where available).
4,0
J%1%
#3
03
14
25
45—#4
15
26
47
67.04
27
49
6 11
10 11.06
39
7 12
11 15
15 16
18
6 12
11 17
16 22
?3 24
+
6,S 10
Ac Re Ac Re
U4 04
15 27
26 49
47 6 11
67 10 11
04 06
27 39
49 7 12
6 11 11 15
10 11 15 16
06 18
39 6 12
7 12 11 1;
11 15 16 22
15 16 23 24---
18
6 12
11 17
16 22
2324
I
--- . .v
15
Ac R(
Oe
3s
7 1;
11 1!
15 11—
25
ic F
40
4CRI
65
{c RI
100
4sR
—160
—
4cR
—250
4CR
400
++ = Uaa the corresponding doubla sampling plan (or alternatively use the mutliple sampling plan below, where available)
# . Acaaptanca is not permitted for this sample size.
— —.. — —-—
Table 4-B — Multiple sampling plans for tightened inspection (Master table) (conchfded)
-
Fme4
Seoorei
mrd
Founh
F&
—Acceptancequalitylimit,AQL,in I wcent nonconforming Items and nonconformities par 100 items (tightened inspection)
—),01—
4CF
V
●
—),01!—
k R
—Yom—
4CR4
—0,40
Ierlve— —
1,0
—1,5
—
kR—3
3!
F1
11
51—II
)1
11
62
‘3 2—
1
.,
—
—
—15
—
bcI?—A
0,10 0,15—
Ac Re—#2
02
02
02
12—#2
03
03
13
34—$3
03
14
25
45—84
15
26
47
67—
—
0,25 0,65 2,5 4,0 6,5 10 25 40 65 100 160 250 400 650—
4CR(
1Ooc—
Sizek R’ ACRe ACR@ Ac Re AcRI k RI
—
4
—
K RI AcRI k R( \c R( k R 4CR—
N
—325
125
125
125
125
125
260
376
500
625—200
400
&Xl
Soo
lWO
n—●
n—82
02
02
02
12
*2
03
03
13
34—#3
03
f4
25
45—a4
15
26
47
67—04
27
49
6 11
10 11—
#3
03
14
25
45—#4
!5
26
47
67
#4
15
26
47
67—04
27
49
6 11
1011—06
39
7 12
11 15
1516—18
6 12
11 17
1622
2324—
—
04
27
49
6 11
10 1—06
3s
7 1:
11 1!
15 1{—18
6 li
11 1
16 Z
2324—v—
lE
i 1:
11
62:
‘3 2,—A
●
Fim
Secald
mrd
Fourth
Fti
Fires
second
7MJ
Fmeth
Fe
206
206
200
200
206
P
—
Q
315
S15
315
315
315
315
636
045
1260
1575
#i
Oi
02
82
03
03
13
34—83
03
14
25
45—
04
27
49
6 11
10 11—oa
3e
7 12
11 15
1.s le—
●
Oi
12—#i
—F-
Seeald
lwrtl
Founh
Fulh
Fwet
aeOOnd
mint
Fourth
Fdth
500
600
300
500
600
600
1000
1500
20W
25W
u:
Oi
02
Oi
li
R
—
s
03
1:
3*—aoo
Soo
Sal
W41
600
660
1s00
2400
3200
4orm— . —
v = Uee the fimt aemplkrg plan belowfhe arrow. If earnple eke equals, or exceede, lot eize, carry out 100 % inapaotion
6 =h tie fht emplhg plan above the arrow.
Ac = kca@nce number
Re = R@actiwI number
● . Uee the cormaponding single eemplmg p&n (or altemetivety uee 4hetible eemplii @en below, where available).
++ = We the conwponding double esmpll~ plen (or alternatively uee the mutiipb sampling plan below, whera available),
# = AccwXance ie mt permitted for W!a eempb eiza.
.-
:L . . -. .-~—...-—....,... ......... , .
P -a
cdM
Table 4-C — Multiple sampling plans for reduced inspection (Master table)—
Acceptance quality limit, AQL, in percent nonconforming items and nonconformities per 100 items (reduced inspection)wnu- —1,015—
c Re—
—0,10—
hc!+—
—.0,15 )—.
\c Re c—.
.
. .
—,25—
; Re—
.
—
—1,40—
c Rf
—),65—
,CRf
—1,0
—1,!
—
\c F—
4—.
3—
T—#
o
0
0
1—
—40
—
AcRe
65 100
c Re Ac RI
● .
* .
. *
++ ++
++ ++
)5
)s
10
12
2 13.-
[ - I
—.650 I—.
ICRe c—.
.—.
.
—000—
: Re—.—.
Imive
-
em T4,o 6,5
AcRe Ac Re T10 15
k Re Ac Re
25—
4CRe
1,065 150—
kcRI—
.—
.
250 400
c R6—
●
—.
—*
,CR(—
*—
●
c RI
/
.-
.-
.-
.-
—
.
—
[
n.-.-.-!--..x I
$_8--.
+++++-++-+#3*3
0314
1425
2535
4556
.—
*
.—
.—
*
—
— —. . ●
++ ++ ++. ++ ++—4
. -
. -
A—
I--—#z
02
02
02
12—#z
03
03
13
34.
.—
[.-.
I.-—++—
04
16
27
4s
7s
++—04
27
49
6 11
10 11
++—
—
—2
4
6
s
10—
3
6
9
12
15 i
#2#2
0203
0203
0213
1234
#2#3
0303
0314
1325
3445
T#3#3
0314
1425
2535
4556 t
#304
1416
2527
354s
567S
0404
1627
2749
4S 611
7s 1011
05
3s
6 1(
9 12
12 1:—v
04
27
49
6 11
10 11—05
3s
6 lC
9 12
12 1:—
*
—
[—
5
10
15
20
25 n— — —
~ = Use the first sampling plan below the arrow. If sample size equals, or exceads, lot size, carry out 100 % inspection.
~ = Use the first sampling @an above the arrow.
Ac = Acceptance number
Re = Rejactioa number
● = Use the mrrespmdng eingle eampling plan (or alternatively uee the double sampling plan below, where available).
++ = Use the corresponding double eampling plan (or alternatively use the mutliple sampling plan below, where available).
# . Acoaptanca ie not permitted for this sample size.
——..—— —--- -— - ------ -- ————.——————.—
~*
Table 4-C — Multiple sampling plans for reduced inspection (Master table) (continued)
Acceptancequalitylimit,AQL, in percent nonconforming items and nonconformities per 100 items (reduced inspection)[email protected]—
J
—
K
—
L
Zumu-
larMwc@esize
8
16
24
32
40
13
26
39
52
65
20
40
64
60
100
—),01(—
k R—
—,06—
,CR—
I—●—v—
—65
—
(c R
kmplaeize ),025
—
w Re
),04( 0,10—
,CRe—
I—
●
—
v—II—
0,15—
w Re—
●
—v—I.-—
0,25 ),40—
c RI—
I
,-
—12
)2
)2
)2
12—!2
)3
)3
I
1,—
0,65—
4CRe
1,0.
&cRe
1,5—
AcRe
2,5—
4CR6
4.0—
k R(—#3
14
25
35
56—04
16
27
48
78.04
27
49
6 11
10 1’—05
38
5 1{
3 1;
12 1:
6,5 10 15 150 250 400 650 1WC
i,—
\c Re—
v4CRe
04
c Re—
4
7
9
11
) 11—‘5
8
10
12
3
AcR \c RI—A
-
-
-
4CRfic R
Fmr— —
6
6
8
6
8
.
v—
●
I—#2
02
02
02
12—#2
03
03
13
34—#3
03
14
25
45—
#2
02
02
02
12—#2
03
03
13
34
#2
03
03
13
34—#3
03
14
25
45
#3
03
14
25
85—#3
14
25
35
56
0!
3(
61
91
12 1
16
ThirTJ
Founh
Ftih
Fket
3acorX
Third
Fowth
Fti
27
46
78— —
I.-—#z
02
02
02
12—
13
13
13
13
13
04
27
49
6 11
10 11—05
38
—First
SacOne
Tr’ird
Foutlh
Fifth
20
20
20
20
20
#3
03
14
25
45—83
14
25
35
56—
#3
14
25
35
56—04
16
27
48
78—
04
16
27
46
78—04
27
49
6 11
10 1’
5 10
9 12
12 13
Fuel
.3scwrs
mrd
Fourih
Frlth
32
32
32
32
32
32
64
96
126
160
M
—
V = Use the firet sampling plan below the arrow. If eampta size aquels, or exceeds, bt size, carry out 100 % inspection
~ = USS the first sampling pfan above the arrow.
Ac = Acceptance number
Re = Rejectton number
● = Use the canseponding single sampling plan (or alternatively use the double sampling plan below, where available).
++ = Uea tha oorreeponding double sampling plan (or alternatively use the mutliple sampling plan below, where available).
# . Acceptance is not permitted for this eempla sue.
-L -— _—— -.—— —. .=—_..--—
t~.”; ~.,.
. s .-<.
C4a
Table 4-C — Multipie sampiing pians for reduced inspection (Master tabie) (concluded)
2 03 03 14 16 27 38
z 03 14 25 27 49 6 10
z 13 25 35 48 6 11 9 12
*112 34 45 .56 78 1011 1213
m culru-Acceptanca quahfy limit, A(2L, In percent nonconforming items and nonconformities per 100 items (reduced inspection)
~ - ~ ~ 0,010 0,015 0,025 0,040 0,0s5 0,10 0,15 025 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 25 40 65 100 1~ 250
MleI ekekRe Ac Re Ac Rn Ac Re ACRe Ac Re Ac Ra A&Re ACRe Ac Re Ac Re ACRe Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re ACRe Ac Re ACRe
F- 50 !3)
‘1 I
II vI#2 #2 83 #3 04 04 05 ~ ~ ~ 4$ ~ ~ ~ ~ ~ ~
second 60 100 02
N Third 50 150 ● 02
Fwnh 60 200
F~ 50 254
Frrar 60 60;-2 :: “m 3 ‘#3 ’04 ’04 05’ lmmmt3econd60160 02 03 03 14 16 ,2 7 38
P lNrd 60 240 ● 02 03 14 25 27 49 6 10
Fourlh 60 320 02 13 25 3s 48 6 ,11 9 12
F16h m 400 12 34 45 56 76 10 11 12 13- -
Flrar
“ : I‘11 -[I--..
12s 125 rr2 $2 #3 #3 04 04 05
Sacard 125 250 02 03 03 14 16 27 3s
0 TNrd 125 375 ● 02 03 14 25 27 49 6 10
Fowlh 125 5W 02 13 25 35 4s s 11 9 12
125 625 12 34 45 5e 7e 1011 1213-- .- - .,
Fret 200 200 #2 U2 #3 83 04 04 05
second 200 400 02 03 03 14 16 27 36
R Th&d 200 eoo 02 03 14 25 27 49 6 10
FoWr 200 m 02 13 25 35 48 6 11 9 12
Fifth 200 low 12 34 45 5e 7s 1011 1213v
=+4=403 650 1000
AcRe AcRe AcRe
400
0 = Use the fifaf SmpMhl b kti the a-. If eampla eize aquala, or exceeds, lot eize, cany out 100 % mepaction.
0 = Uea the first aemplii plan abova the arrow.
Ac = Aooapfarrca number
Ra - Rajadion number
● = Uee the mmeapomdng aingte aam~ing plan (or alternatively uea the double sampling plan below, whare available).
++ . Use the co~ng doubla aamplimg@an (or altemativaly uee the mutliple eampling plan below, where available).
# = Aooeptance Lanot permitted for this aampte eize.
.
cdm
Table 5-A — Producer’s risk for normal inspection
(in percent of lotsnot accepted for singlesamplingplans)
-S12s sample
Acceptance quafitylimit,AQL, in percent nonconformingitems and nonconformitiesper 100 items (normal inspection)
- tieIerler 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,rJ 6,5 10 16 25 40 65 100 150 250 400 65o 1000
A 2.
;: ;;;. 9,45” 9,02 4,74 4,31 1,66 1,19 1,37 1,73 1,41 1,35, ,
B 3 ;;’: :: ~ 7,54 4,05 3,36 1,46 1,19 0,667 1,03 (),607 (),979 o,627! , ,
c 5.
:;’: ;:; ;:. ;: 4,05 3,63 1,66 1,m 1,37 1,03 Q,g40 1,35 2,17, . , ,
D 811,3 7,15” 10,5” 9,63 4.7411,4 7,1& 10,s 9,10 3,s1
3,3s 1,66 1,66 1,77 1,73 0,s07 1,35 1,73
E 1312,2 6,S5” lo,& 9,63 5,41 4,31
12,2 6,66’ 10,s” 9,32 4,60 3,421,46 1,63 1,77 2,62 1,41 0,979 2,17
F 2012,2 7,15’ 9,45” 9,0z 4,74 4,31 1,66 , ,9 , s, , 73 , a,
12,2 7,16’ 9,45* 6,S2 4,39 3,74 1,13 ‘ ‘ ‘ ‘
G 3212,0 7,63’ 10,5” 8,42 4,74 4,11 1,s6 1,66
12,0 7,64” 10,5” 6,3o 4,52 3,77 1,W 1,17 “w ‘ ’73 “m
H so11,8 7,1s Io,w 9,(J2 4,05 3,33 1,66 1,S!3 1,37
11,s 7,1 5* 10,s” 8.94 3,3!2 3,s2 1,44 1,47 Q,935 “w “%0
J so11,3 7,1 5“ 10,5” 9,63 4,74 3,36 1,66 l,a 1,77 1,7311,3 7815” 10,5” 9,5s 4,66 3,26 1,52 1,47 1,43 1,23 0’w7
K 12511,8 6,41” 10,1” 9,02 4,92 3,s3 1,25 1,46 1,37 1,85 (),g40
11,0 6,41 ● 10,1” 6,SS 4,87 3874 1,1s 1,36 1,19 1,60 0,626
L 20012,2 7,15” 9,4& 9,02 4,74 4,31 1,66 1,19 1,37 1,73 1,41
12,2 7,1s 9,4V 9,00 4,71 4,25 1,60 1,13 1,26 I ,52 1,13
M 31511,6 7,44” 10,P 6,20 4,66 3,92 1,s3 1,55 Q,936 1,52 1,Q2
11,6 7,44’ lo,e S,19 4,54 3,89 1,s0 1,50 Q,W2 1,41 (),363
N 50011,8 7,15” 10,6” 9,02 4,05 3853 1,66 1,63 1,37 1,03 Q,g4Q
11,6 7,15’ 10,6’ 9,01 4,04 3,81 1,63 I ,79 1,32 1),971 o,657
P 60011,3 7,15* 10,5” 9,63 4,74 3,3s 1,66 1,66 1,77 1,73 0,607
11,3 7,15” 10,5’ 9,63 4,73 3,37 1,s4 1,66 1,74 I ,~ 0,570
a11,8 6,41” 10,1’ 9,02 4,92 333 1,25 1,48 1,37 l,g5 Q,g4r)
‘2W 11,8 6,41” 10,1” 9,02 4,92 3,S2 1,24 1,47 1,35 1,91 0 ,907
Rz ~7 ,15” 9,4V 9,02 4,74 4,31 1,66 1,19 1,37 1,73 1,41
7,15” 9,45” 9,02 4,74 4,30 1,65 1,16 1,36 1,71 1,36
NOTES
1 The pmducsfs risk is the probability of nonacceptanoa for lots of AOL qualify.
2 Uppar entriaa are for inapaofh for nonconformitiea par 100 items and are based on the Poisson distribution.Lower antrfes are for inspection for percent nonconforming and are based on tha binomial distribution.
3 Superscript” denotes that the valye is for the optionsl fractional acceptance number sampling plsn (see Table 11-A),
Table S-B — Producefs risk for tightened inspection
(in pWCf317tof lots f’IOtaccepted for single samplingplanS)
Smnple
.1 hsisasemp10tedsska
0,010
Acceptancequality limit, A(2L, in percent nonconforming items and nonconformities per 100 items (tightened inspection)
0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4.0 605 10 15 Z5 40 65 100 150 250 400 650 1000
A 21s 1,9’0 13,7” Zl,r 19,1 14,3 14,3 8,39 6,61 6,38 6,96 5,25
B 317,7 13,7”15,3 14,T
17,Y 17,3 12,1 13,4 8,39 4,03 4,27 3,74 4,09 2!21
c 518,1 15,5” 21,W18,5 15,9” 21,6”
17,3 13,2 14,3 11,1 6,S1 4,27 5,19 5,25 6,16
D 818,1 15,1” 22,T 19,118,3 15,7 22,6’ 18,7
12,1 14,3 10,5 8,19 6,38 3,74 5,25 5,12
E 1317,7 15,s 22,r 20,7 14,317,8 15,V 22,V 20,5 13$4
13,4 11,1 5,19 8,79 6,98 4,09 6,16
I 1
13,7 I 13,31 i I I I I I 1 I I
15,8 10,5.Ca . . . 5,56 6,3S 6,22 I
F 20 ;:’; ;~. ;;’: ;;: !4’? I !:’? ! 8.39 I 6.81 I 6.38 I 6,98 ! Ill Ill, , ! !
G 3218,8 15,1” 19,T 19,1 13,818,8 15,2” 19,8” 19,0 13,5 I3BC Y,*
H 5018,1 15,5” 21 ,V 17,3 13,2 14,3 11,1 6,81 q 27 s ,918,2 15,5” 21,0” 17,3 12,9 13,9 1084 5,79 ‘ “
J 6018,1 15,1” 22,2’ 19,1 12,1 14,3 10,5 8,19 6,36in 3 *C 9* 99 9* to 1 *4Q iA 1 <n t 751 ~w 3,74,“, . .-, - -G, - .“, . ... ” .-, . .-, . . ,-. -,--
K 12517,1 14,6” 21,0” 19,6 13,2 12,1 9,70 6,81 7!00 5,1917,1 14,W 21,0” 19,5 13,1 12,0 9,44 6,41 6,34 4,28
L 20018,1 13,7” 21,0” 19,1 14,3 14.3 6,39 6,81 6,38 6.9818,1 13,7” 21,0” 19,1 14,2 14,2 8,24 6,56 5,99 6,32
M 31518,5 14,8” 19,3” 18,7 13,4 15,2 9,98 5,16 5!80 5,5218,5 14,W 19,y 18,7 13,3 15,1 9,8s 5,03 5,56 5,15
N .50018,1 15,5* 21,0” 17,3 13,2 14,3 11,1 6,61 4,27 5,1918,1 15,s 21,0” 17,3 13,1 14,3 11,1 6,71 4.14 4,96
P Soo18,1 15,1” 22,2” 19,1 12,1 14,3 10,5 8,19 6,38 3,7418,1 15,1” 22,2” 19,1 12,0 14,3 10,5 8,13 6,26 3,63
0 125017,1 14,&’ .21,0” 19,6 13,2 12,1 9,70 6,81 7,00 5,1917,1 14,W 21 ,LY 19,6 13,1 12,1 9,6s 6,77 6,94 5,10
f?Zm 18,1 13,7” 21,0” 19,1 14,3 14,3 8,39 6,81 6,3S 6,96
18,1 13,7* 21,W 19,1 14,3 14,3 8,3S 6,78 6,34 6,92
s 315018,7
18,7
NOTES
1Thepmducets risk is the probability of nonaocepfence for fots of AQL quality.
2 Upper entries am for inspscliin fornonconformities par 100 items and are based on the Poisson dislnbution.Lower entries are for inspedon for psrc.snl nonmnfonning and are based on the binomial distribution.
3 SUWM@M ● denotes that fhe value is for the optional fractional acceptance numth?rsampfing plan (see Table 1I-B).
-—
. .r. .,,.”. — . . . ..+ —_-_—_— .- —.... .- .- —— .—— --- --..- .-.. -_
~
Sem@esizecodaMtar
A
B
c
D
E I
Table 5-C — Producer’s risk for reduced inspection
(in percent of lots not accepted for single sampling plans)
.,.7,[
2 4,88 2,34,94 2,3
3 4,4L G,”, fi,g4,43 2,05” 2,8
5 4s88 2,07” 3,1W 4,74,eo 2,06” 3,12 4,6
1 I 18
-,. . -, --- I i5,07 2,33” 2,94” 4,72” 4,15 1,59 0,9085,06 2,32” 2,9I” 4,65” 3,81 1,20 0,502 ‘3,775 0,453 0,571 177
13 5,07 2,56” 3,39” 4,51 “ 4,27 1,5= ,,va
I l“”’1 0,39610,82911,771 I5,08 2,56” 3,37 4,47” 4,06 1,35 0,793 0.646
1 I i I I
, , 1 1:Ol+lml.m I 1 I I I 1
I I I 4
Ill Ill.—20 4,s6 2,3Y 3,39” 4,72” 3,69 1,44 0,908 1,07 (),453
4,88 2,3P 3,36” 4,69” 3,57 1,30 0,741 0,768 0,239 “w” ‘ ’37J 32 4,69 2,33” 3,30” 5,06” 4,15 1,29 0,906 1,W o,558 0,571
4,69 2,32” 3,29” 5,04” 4,07 1,21 0,803 0,636 0,389 0,330 “wK 50 4.s3 2.07” 3,16” 4,7P 4,27 1,44 0,729 0,912 (),453 o,6,29 1,37
4,6s 2,07’ 3, 16“ 4,71 “ 4,21 1,36 0,674 0,813 0,361 Q,454 (3,935
L 60 5,07 2,W 2,94” 4,72” 4,15 1,59 0,908 0,775 0,453 0,571 1,775,07 2,33” 2,9V 4,71” 4,12 1,56 0,666 rJ,720 0,395 0,468 1,43
M 125 4@ 2,39” 3,18’ 4,21” 3,98 1,44 08957 0,912 0,321 0,493 1,374066 2,39” 3,1 6“ 4,21 “ 3,96 1,42 0,929 0,873 0,293 (),434 1,19
N 200 4,s6 2,W 3,39” 4,72” 3,69 1,44 0,908 1,137 0,453 0,380 1,374,6s 2,33” 3,39* 4,72’ 3,6s 1,42 0,891 1,04 0,430 0,350 1,26
P 315 4,82 2)26” 3*W 4,92 4,03 1,24 0,661 0,942 0,513 0,518 0,9364.62 2,2s’ 3,20” 4,92” 4,02 1,23 o,~l o,926 0,496 0,493 o,@32
Q 500 4,8s 2,07” 3,16“ 4.72” 4,27 1,44 0,729 0,912 (),453 o,629 1,374,66 2,07” 3,16” 4,72” 4,26 1,43 0,724 0,902 0,444 0,611 I ,32
R 800 2BW 04” 4,72” 4,15 1,59 O,gos 0,7’75 0,453 0,571 1,77X33” 2.s48 4,72” 4,15 1,59 O,g!oll o,769 0,447 IJ,561 ,,74
NOTES
1 The producats risk is the probsbili~ of nonaccaptanm for lots of AQL qualify.
2 Upper entries are for inspection for nonconformities per 100 items and are based on the Poisson distribution.
LOWerentries are for inSpSrXiOnfOr percent nonwnfonning and are basad on the binomial distribution.
3 +%perecript” denotes tbt the value is for the optional fractional acceptance number sampling plan (see Table 1I-C),
. ..————-._. _—
........—...... .- .’-’
Table 6-A — Consumer’s risk quality for normal inspection
(in percent nonconforming for single sampling plans, for inspection for percent nonconforming)
cd00
b . ..
Sampfe Acceptance quality limit, AQL, percent nonconforming itemssize Samplecode sizeletter 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10
A 2 68,4 69,0”
B 3 53,6 54,1” 57,(Y
c 5 36,9 37,T 39,8* 58,4
D 6 25,0 25,2” 27,~ 40,6 53,8
E 13 16,2 16,4” 17,5* 26,8 36,0 44,4
F 20 10,9 Il,(r 11,6” 16,1 24,5 30,4 41,5
G 32 6,94 7,01’ 7,5W 11,6 15,6 19,7 27,1 34,0
H 50 4,50 4,W 4,87* 7,56 10,3 12,9 17,8 22,4 29,1
J 80 2,s4 2,86’ 3,07” 4,78 6,52 8,16 11,3 14,3 18,6 24,2
K 125 1,83 1,W 1,97” 3,08 4,20 5,27 7,29 9,24 12,1 15,7 21,9
L 200 1,14 1,16” 1,24” 1,93 2,64 3,31 4,59 5,82 7,60 9,91 13,6
M 315 0,728 0,73s 0,788” 1,23 1,68 2,11 2,92 3,71 4,85 6,33 6,84
N 500 0,459 0,4W 0,497” 0,776 1,06 1,33 1,85 2,34 3,06 4,00 5,60
P 800 0,287 0,29tY 0,311” 0,465 0,664 0,833 1,16 1,47 1,92 2,51 3,51
Q 1250 0,164 0,186” 0,1 9W 0,311 0,425 0,534 0,741 0,940 1,23 1,61 2,25
R 2000 0,116” 0,124” 0,194 0,266 0,334 0,463 0,588 0,769 1,00 1,41
NOTES
1 Attheconsumer’sriskquality,10%.of lotswillbe expectedto be eccepted.
2 Allthe valuesare baaedonthe binomialdistribution.
3 Superscript● denotesthatthe value isforthe optionalfractionalacceptancenumbersamplingplan(see Table 11-A)
————
IS2500(
Part
1)
:2000IS
O2859-1:1999
Im
-0)
1,1
*N-
alN-
30-
~uJt-J
0)w.*.
*.
000
ao-
%N-0
+●m
&i@
N.
0-
0-
!0--.0u)
1I1
Zno
r3,w
iL
I(5X
7acn
I
Table 6-C — Consumer’s risk quality for reduced inspection
(in percent nonconforming for single sampling plans, for inspection for percent nonconforming)
Sample
sfze SampleAcceptance quality limit, AQL, percent nonconforming items
code sizeletter 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10
A 2 68,4 69,0=
B 2 68,4 68,4” 69,T
c 2 68,4 68,4* 69,V 73,T
D 3 53,6 53,6* 54,1’ 57,& 80,4
E 5 36,9 36,9” 37,Y 39,8” 58,4 75,3
F 8 25,0 25,0” 25,2” 27,0” 40,6 53,8 65,5,.-
G 13 16,2 16,2* 16,4” 17,5” 26,8 36,0 44,4 52,3
H 20 10,9 Io,w 11,0* 11,8’ 18,1 24,5 30,4 36,1 46,7
J 32 6,94 6,94” 7,01” 7,50” 11,6 15,8 19,7 23,4 30,6 37,4
K 50 4,50 4,5(Y 4,54* 4,s7” 7,56 10,3 12,9 15,4 20,1 24,7 29,1
L 80 234 2,8P 2,86* 3,079 4,78 6,52 8,16 9,74 12,8 15,7 1S,6
M 125 1,83 1,83* 1,W 1,97* 3,08 4,20 5,27 6,29 8,27 10,2 12,1
N 200 1,14 1,14” 1,16’ 1,24* 1,93 2,64 3,31 3,96 5,21 6,42 7,60
P 315 0,728 0,728” o,7wY 0,78~ 1,23 1,68 2,11 2,52 3,32 4,09 4,85
Q 500 0,459 0,460” O,w 0,49T 0,776 1,06 1,33 1,59 2,10 2,59 3,06
R 800 0,287” 0,280’ 0,311* 0,465 0,664 0,833 0,997 1,31 1,62 1,92
No00
NOTES
1 At the consumer’s rfskqualii, 10% of lotswill be expected to be aocepted.
2 Afl the values are based on the binomial distribution.
3 8upSrSCript * denotssthatthe valueisfortheoptionalfractionalacceptancenumbersamplingplan(seeTable 11-C),
r-”’”-’”- ‘“-- ‘“Table 7-A — Consumer’s risk quality for normal inspection
(in nonconformitiesper 100 itemsfor single sampling plans, for inspection for nonconformities per 100 items)
Ss@b
cm San’@e
cods size
Iatrel
Acceptance quality fimit, AQL, noncontormities per 100 items
0,40 0,65 1,0 1,5
28,8
17,7 17,9”
11,5 ll,V 12,5”
7,20 7,2W 7,78” 12,’2
4,6Y 4,98” 7,78 10,6
3,11” 4,66 6,65 6,35
3,11 4,26 5,34 7,42
2,66 3,34 4,64 5,69
2,12 2,94 3874 4,69
1,65 2,35 3,0s 4,03
1,47 1,93 2,52 3,52
1,23 1,61 2,25
1,01 1,41
2,5
46,1
29,1”
19,2”
19,4
16,6
13,4
11,6
9,42
7,70
6,39
4,0
76,8
46,5”
31,1”
29,9
26,6
20,9
16,5
14,7
12,3
10,1
6,95
— —
25—
194
177
134
— —
40—
266
223
165—
147
119
101—
86,1
——
),065—
—
—
0,10—
—
0,25——
—
6,5—
115
77,5”
$9,W—
48,6
40,9
33,4—
29,0
23,5
19,3—
16,1
14.1
—
65
—
150.
569
514
403—
352
295
—
—
—
—
—
.
250
—
400.
I 006
939
766—
672
—
—
—
—
—
0,010 ),015—
—
—
—
—
),266
,186—
, 12s
),02!—
I,04C—
0,15 10
llW
83,W
77,6
66,5
51,4
46,4
36,6
30,6
25,2
22,5
15—
125”
130
106
100 650 Ioc—
A 2
B 3
c 5
D 6
E 13
F 20
G 32
H 50
J 60
K 125
L 200
M 315
N 500
P 800
0 1250
R 2000
334
309
235—
193
155
141—
—
—
—
—
464
392
308
252
217
770
671
584
1409
1277
1076
I 91
I 79
— — —
63,5
71,3
56,9
116
90,5
77,0
479
414
— —
46,1
40,3
35,2
62,9
56,44,61
?,91’2,ss
0,1s4
— — — —1,s4
I,l&
1,791’—
),778
),665
1,534—
),464
I,86
I ,25
1,23
I ,99’
1,94
1,69—
1,34
1,16
),94—
),77(—
1,15
1,738—
1,496
)1486
),426—
),334—
),731—
1,485
1,311’
),311—
),334
— — — — —
—
—
—),46’
1,291
1,19s
1,06
),s3!
),74
5,64
— — — — —),116 ),28( ),j&
— — — — —
NOTES
1 At the conaume~s risk quatii, 10% of lots will be expected to be accepted.
2 Aft the valuesan baaedon the Poisson dwtributiin.
3 -rs~” denotesthatthe valuek fortheoptionalfratimal acceptancenumbersamplingplan(seeTable11-A).
—
—.
aimCOdObrml
A
B
c
D
E
F
G
H
J
K
L
M
N
P
Q
R
s
Table 7-B — Consumer’s risk quality for tightened inspection(in nonconfonnities per 1W items for single sampling plans, for inspection for nonconformities per 100 items)
-
‘e 0,010 0,015 0,025
2
3
5
8
13
20
32
50
So
125
m
315
500
600 0,2s6
1250 0,164 0,166
2W0 0,115 0,116 “0,125
3150 0,123
W40
0,461
},231
>,lee
o,le4
),0s5 0,10
1,15
0,731 0,736
1,465* o,4es
),31 1● 0,46(
0,311 0,42(
0,266 O,XY
0,15—
—
—
—
1,s4
1,16’
),791—
0,771
0,66!
0,5%
O,w
Acceptance quality limit, AOL, nonconformitii per 100 itams
NOTES
1 At ths consumar’s risk quality, 10% of lots will ba ercpec+edto be accepted.
2 A3thevafuesarabasadonfhePoisaondistributlon<
1,0 1,5
17,7
11,5 11,6’
7,26: 7,7s’
4,9& 7,76
4,66 6,65
4,26 5,34
3,34 4,s4
2,s4 4,13
2,60 3,56
2,22 3,09
1,96
—2,5—
—
2a,s
7,V
,2,?—
12,2
10,6
9,35—
7,42
5,50
5,s4.
4,e5
.
—
4,0 6,5
76,6
16,1 46,5*
!9,1“ 31,1”
9,2” 29,9
I9,4 26,6 ~
I6,6 20,9
I3,4 16,5
11,6 16,2
10,4 14,2
3,69 12,4
7,s6
10—
115
77s’
49,8’—
46,6
40,9
33,4—
29,0
26,0
22,2
19.s
—
—
15—
116”
B3,0*
n,e—
66,5
51,4
46,4—
40,6
35,6
30,9
—
—
25—
125”
130
106—
63,5
71,3
65,0—
55,6
49,5
—
—
40 65 10Q 150 250 400 650 100(
194 256 334 464 650 669 1236 1 74t
177 223 3439 433 593 625 1 165 lW
134 165 260 356 495 699 1010
116 162 222 309 437 631
100 137 130 269 36s
SS,9 124
77,4
3 --” ~fes tit tb WIUSIb for tha O@OnSlfmctbsl aocWtence numbar samphng plan (sac Table 11.B).
Table 7-C — Consumer’s risk quaiity for reduced inspection
(in nonconformities per 100 items for single sempling plans, for inspection for nonconforrnitiee per 100 items)
SSKQISI ISize Snll-klb
“e ‘u” 0,010 0,015 0,025blw
A 2
B 2
c 2
D 3
E 5
F 8
G 73
H 20
J 32
K 50
L 80
M 125
Q 500 0,461 0,461” 0,465”
R 800 0,28W 0,291” 0,31 1“
—0,04
—
—
1,84—
I,lr
,7W
,496
),486—
2,88
1,84”
I,lr
),791’
0,778
D,665
0,10
4,61
2,6W
1,88”
1,25”
1,23
1,06
0,835
0,15 0,25
11,5
7,20 7,20”
4,61“ 4,6Y
2,91” 3,11”
1,99’ 3,11
1,84 2,66
1,69 2,12
1,34 1,60
D,999 1,32
Acceptana qualiiy limit, AC)L,nonconfonnities per 100 items
0,40
17,7
11,5”
7,26”
4,9W
4,86
4,26
3,34
2,54
2,11
1,62
NOTES
1 At the consumer’s risk quality, 10% of lots will be expected to be accepted.
2 All the values are based on the Poisson dstributii.
0,65
28,8
17,7”
i 1,6*
7,7a=
7,7a
6,65
5,34
4,00
3,34
2,60
1,93
1,0 1,5 2,5 4,0 6,5 10
115 116”
115 11s ll&
115 115” llV 12s
76,8 76,8* 77,5” 83,0’ 130
46,1 46,1“ 46,5” 49,6” 77,6 106
26,6” 29,1“ 31,1” 48,6 66,5 83,5
17,9* 19,2 29,9 40,9 51,4 81,5
12,5’ 19,4 26,6 33,4 40,0 52,7
12,2 16,6 20,9 25,0 32,9 40,6
10,6 13,4 16,0 21,1 26,0 30,6
8,35 9,99 13,2 16,2 19,3
6,39 6,43 10,4 12,3
5,27 6,50 7,70
4,13 4,89
3,06
3 Superscript” danotea that the value is for the optional fractional aweptanc=s number sampling plan (sss Table 11-C).
15 25 40 65 100 150 250 400 650 10LN
125* 194” 266 334 464 589 no 1008 1409 1914
125’ 194 266 334 464 W9 770 1006 1409 1 91(
194 286 334 400 527 650 770 1006 1409
177 223 266 351 433 514 671 939
134 160 211 280 308 403 564
99,9 132 162 193
81,0 100 119
66,0 77,0
48,1
Table 8-A — Average outgoing quality limits for normal inspection (Single sampling plans)
maAcceptance qualii limit, AQL, in percent nonconforming items and nonconformities per 100 items (normal inspection)
Om dzsbttsr 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 25 40 65 100 150 250 400 650 1000
A 216,414,6
42,0 66,6 97,1 158 224 326 470 733 1085
B 312,310,5
28,0 45,7 64,7 106 149 218 313 469 723 1102
c 57,366,70 —.—
D 84,60A WI :;: ::; 24,3 39,6 55,9 61,6 117 163 271 413
E 13 x I I I :’: I H I ::’: I24,4134,4I50,2I723I 113I 167I254I I
I 16,6
‘H
,60 27,4 38,6 63,4 69,4 131 188 293 434 661.
iTO”” I 1 I ,“, !,,.,” I I I I I I I I i I
. .. .. . . .- I {
II-,, ” “,”- o “,- .“, !t
F 201,841,79
4’20 6’M 9’7’ ‘5’8 22,4 32,6 47,0 73,34,14 6,62 9,75 16,2
G 321,15 2,62 4,26 6,07 9,90 14,0 Z. d 29 ~ 4561,13 2,60 4,27 6,08 10,0 14,3 ‘ ‘ ‘
H 500,736 1,68 2,74 3,88 6,34 6,94 13,10,726 1,67 2,74 3,69 6,36 9,06 13,3 ‘6’6 29’3
J 600,460 1,05 1,71 2,43 3,98 5,59 6,16 11,7 ,8 s0,457 1,05 1,71 2,43 3,96 5,63 6,27 12,0 ‘
K 1250,294 0,672 1,10 1,55 2,53 3,58 5,22 7,52 11,70,293, 0,670 1,10 1,55 2,54 3,60 5,26 7,61 11,9
L 2000,184 0,420 0,886 0,971 1,56 2,24 3,26 4,70 7,330,183 0,419 0,685 0,971 1,59 2,24 3,26 4,73 7,41
M 3150,117 0,267 0,435 0,617 1,01 1,42 2,07 2,98 4,650,117 0,266 0,435 0,617 1,01 1,42 2,06 3,00 4,69
N 5000,0736 0,188 0,274 0,388 0,634 0,894 1,31 1,88 2,930,0735 0,166 0,274 0,388 0,634 0,895 1,31 1,69 2,94
P 6000,0460 0,105 0,171 0,243 0,396 0,559 0,616 1,17 1,630,0460 0,105 0,171 0,243 0,396 0,559 0,617 1,16 1,84
Q0,0294 0,0872 0,110 0,155 0,253 0,356 0,522 0,752 1,17
‘ 2W 0,0294 0,0672 0,110 0,155 0,254 0,356 0,523 0,753 1,17
R 20000,0420 0,0686 0,0971 0,156 0,224 0,326 0,470 0,7330,0420 0,0686 0,0971 0,158 0,224 0,327 0,470 08734
n)o00
NOTE
Upper entties are for inspection for nonconformitias per 100 items and are based on the Poisson distribution.
Lowar entries are for inspection for percent nonconforming end are based on the binomial distribution.
Table 8-B — Average outgoing quality limits for tightened inspection (Single sampling plans)
mle-W1’Klh Acceptance quality limit, AQL, in percent nonconforming items and nonconformities per 100 items (tightened inspection)
I
—
-—r-
Code skeletter
0,010 0,015 0,025 0,040 0,065 0,10
A 2
B 3
c 5
D 8
E 13
t=--Ft-t3 32
H 50
J 60
K 125
L 2000,1640,163
M 3150,1170,117
N 500 0,07360,0735
P 600 0,0460 0@150,0460 0,105
Q 12500,0294 0,0672 0,1100,0294 0,0672. 0,110
R0,0164 0,0420 0,0666 0,0971
2W 0,0164 0,0420 0,0666 0,0s71
s 3150 0,02670,0267
0,15
ixz),293
z1,166
z1,171
1,1551.155
1,156I.158
0,25
),460
)f5J
),267),266
F),274
1,2431,243
1,2531,254
z
1,257
0,40
),736
).726
),420),419
),435),435
G),366
K),396
),412),412
z1,396
0,65
),672),670
G),665
),617),617
E),634
G),644
),636),636
G),619
—1,0
—
G1,79—
1,051,05
G1.101,9711,971
I ,011.01
I ,03I ,03
G,995
‘,9SC991-
—
NOTE
Upper entries are for inspection for nonconfonnities per 100 items and are based on the Poisson d~tnbution,
Lower entries are for inspection for percent nonconforming and are based cmthe binomial distribution.
*Ur
1,5 2,5 4,0 6,5 10 I 15 25 40 65 100 150 250 400 650 1000
16,414,6
42,0 66,6 97,1 158 257 397 619 966
12,310,5
28,0 45,7 64,7 106 172 265 412 644 1020
7,366,70
16,6 27,4 36,6 63,4 103 159 247 367 612
4,604,33
::’: 17,1 24,3 39,6 64,3 99,3 155 242 362
2,63 6,46 10,52,73 6,32 10,5
14,9 24,4 39,6 61,1 95,2 149 235
;’: :: :’;; 15,6 25,7 39,7 61,9, ! !
y; $’: y; :.: 16,1 24,8 36,7
1,66 2,74 3:66 6,34 10,3 ,5 ~ 2471,67 2,74 3,89 6,36 10,5 ‘ ‘
1,71 2,43 3,96 6,43 9,93 ,5 s1,71 2,43 3,96 6,49 10,1 ‘
I ,55 2,53 4,12 6,36 9,90I ,55 2,54 4,14 6,42 10,1
1,56 2,57 3,97 6,19I,59 2,56 4,00 6,25
I,63 2,52 3,93I ,54 2,53 3,95
I,59 2,47I ,59 2,46
I,55I ,55
-=----7- -- ----
*, -,.‘.. -
IS 2500( Patil ):2000ISO 2859=1 :1999
Table 9 — Average sample size curves for singie, doubie and muitipie sampiing (normai,tightened and reduced inspection)
Average
sample
size
Singlen .
0,75 n ~
0,50 n
0,25 n .
t.
IAc.1
o0 1 2 3 4
0,75
0,50
0,25
Single
~
Double
Multiple
ob---JE0123456
n x proportionnonconforming
Average ‘~sample
k-
Doublesize
0,75 n
0,50 n Multiple
0,25 n
t
Average
sampiasize
ol___Ezo 3 6 9 12
Singlen
Double
0,75 n .
0,S) n
0,25 nt
O1-t--tz0246610
r) x proportion nonconforming
‘h ‘*Double
0,75 n .
0,50 n .
0,25 n
olJ__EE o~o 3 6 9 12 0 4 8 12 16
n x proportionnonconforming
0,75
0.50
0,25
Single
Double
m
n
l---l=
Ac=3
o01234567
OL-Eo 3 6 9 12
Singlen
0,75
0,60
0,25
ol-d--Ez0369121516
n = Equivalent single sampling size
Ac = Single sample acceptance number
1’ = Reference point showing performance at AQL for normal inspection I
IS 2500( Part 1 ): 2000ISO 2859-1:1999
Table 9 — Average sample size curves for single, double and multiple sampling (normal,tightened and reduced inspection) (conchded)
Average
sample
size
0,50 n .
LL__Izz0369121518
Singlen
0,50 n , Multiple
0,2S n
0,50 n. Multiple
0,25 n
oL_Es2!O51O152O2S
n x wOPortionnonconforming
Singlen Single Singlen n .
Average
sample
size0,75 “ Double o,75 n . Double 0,75 n , Double
0,50 n.Multiple
0,50 n.Multiple
0,50 n.
Multiple
0,25 n 0,25 n 0,25 n
t. 1.. .Ac = 211.
AC= 27d.
AC=30o0510
0 015 20 25 30 0 9 162736 0 10203040
n x proportion nonumfordng
Double
Singlen
Singlen
Average
sample
size 0,75 n . Double 0,75 n . Double
0.60 n . 0,60 n ,
Multiple Multiple
0,25 n 0,2S n
o[...17Flot F,. tF,09 ie27s64654 oe le273e 4554
n x ProfxnUon normnformingn = Equivalent single sampling size
Ac . Single sample acceptancenumber
‘r= Reference point showing performance at AQL for normal inspection
47
&00
PTable 1O-A — Tables for sample size code letter A (Individual plans)
PercenI@M Chart A Operating characteristic curves for single sampling plansexpecledrobe (Curves for double and multiple sampling are matched as closely as practicable)accepred(PJ
lrm
so
60
70
60
60
40
30
20
10
0IO0200W0400500 600700600900 1000 1100 1200 1300 1400 1 50U 1 6W 1700 1600 19CKI 2000
Quality of submitted product @, in percent nonconforming for AQLss 10, in nonconformities per 100 items for AQLs > 10)NOTE Values on curves are Acceptance Qualify Limits (AOLs) for normal inspection.
99,0
95,0
90,0
75,0
50,0
25,0
10,0
5,0
1,0
Table 1O-A-1— Tabulated values for operating characteristic curves for single sampling plans
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformifies per 100 items)
6,5 6,5 I 25 I 40 I 65 1 100 I 150 1X1 250 IXI 400 lx] 650 lx] 1000
p (inpercentnonconforming) p (in nonconforrnities per 100 items)
0,501 0,503 7,43 21,8 41,2 89,3 145 175 239 305 374 517 629 859 977
2,53 2,56 17,8 40,9 68,3 131 199 235 308 384 462 622 745 995 1122
5,13 5,27 26,6 55,1 87,2 158 233 272 351 432 515 684 812 1073 1206
13,4 14,4 48,1 86,4 127 211 298 342 431 521 612 795 934 1214 1354
29,3 34,7 83,9 134 184 264 383 433 533 633 733 933 1063 1383 1533
50,0 69,3 135 196 255 371 484 540 651 761 870 1087 1248 1568 1728
66,4 115 194 266 334 464 589 650 770 889 1006 1238 1409 1748 1916
77,6 150 237 315 388 526 657 722 648 972 1094 1335 1512 1862 2035
90,0 230 332 420 502 655 800 870 1007 1141 1272 1529 1718 2088 2270
40 65 100 150 ~ 250 400 650 i 000%
Acceptanc6 Qualify Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)I
No00
NOTE 6inomialdistribution ueed for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformifies.
Table 1O-A-2 — Sampling plans for sample size code letter A
Type ofsamp-
ling
plan
Single
Double
Multiple
Cumu-lative
sample
size
2
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100
<6,5 6,5 ~ 10 15 25 40 65 100 150 ~ 250 x 400 x
Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re
d-U*
-HJol 1 2 2 3 34 56 78 89 10 11 12 13 14 15 18 19
use use use
code code code (*) (*) (*) (*) (*) (*) (*) (*) (*) (*)
letter letter letter
B
u ●
D c
● ● ● ● ● * * ● ●
<10 1~1 10 I 15 I 25 I 40 I 65 I 100 I 15o 1~1 250 Ixl 400 ]Xl 650
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 10
:ems)
650
Ac Re
21 22
(*)
*
xitems]
x 1000
Ac Re Ac Re
27 28 30 31
r) (*)
● ●
1000 ~
u = use next subsequent sample size code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number
= use single sampling plan above (or alternatively use code letter O)
r; = use singie aampfing (or alternatively use code letter B)
00
ma
Sa
Sa
7a
Sa
so
40
se
2a
10
c
G?ETable 1O-B - Tables for sample size code letter B (Individual plans) ON
@jrnqg
Wwlllafros Chart B Operating characteristic curves for single sampling plansWI-m-
-~~ (Curvesfordoubfe and multiple sampling are matched as closefy as practicable)Am
w (PJ LS@dw-@ . .
IOo00
100200300400500 6o070080rlgrXrl m 1 100 1200 1300 1400 1500 Iaoo 1700 1s00 1s0 2000
Quaiity of submitted product fp, in percent nOrIOOIIfO~irtg for AQLss 10, in nonconformities per 100 items for AQLs > 10)NOTE Vaiueson cuweaare AcceptanceQualityLimits (AQLs)fornorrnaiinspection.
Table I&B-l — Tabulated values for operating characteristic curves for single sampling plans
Acceptance Quahty Limit, normal inspeo60n (in percent nonconforming and nonconformities per 100 items)
Pa4,0 4,0 I 15 I 25 I 40 I 65 1 100 lx 150 1~1 250 l=] 400 1~1 650 b-a 1000
p (in percent
nonconforming)p (in nonconformities per 100 items)
99,0 0,334 0,335 4,95 14,5 27,4 59,5 86,9 117 159 203 249 345 419 572 851 947 1029
95,0 1,70 1,71 11,8 27,3 45,5 87,1 133 157 208 256 308 415 496 663 748 1065 1152
90,0 3,45 3,51 17,7 36,7 58,2 105 144 181 234 288 343 456 541 716 804 1131 1222
75,0 9,14 9,59 32,0 57,6 84,5 141 199 228 287 347 408 530 623 809 903 1249 1344
50,0 20,6 23,1 55,9 89,1 122 189 256 289 356 422 469 622 722 922 1022 1389 1489
25,0 37,0 46,2 69,6 131 170 247 323 360 434 507 580 724 832 1045 1152 1539 1644
10,0 53,6 76,6 130 177 223 309 392 433 514 593 671 825 939 1165 1277 1683 1793
5,0 63,2 99,9 158 210 256 350 438 481 565 648 730 890 1008 1241 1356 1773 1686
1,0 78,5 154 221 260 335 437 533 580 671 761 846 1019 1145 1392 1513 1951 2069
6,5 6,5 25 40 65 100
Acceptance Quaiity Limit, tightened inspactfon (in percent nonconforming and nonconforrnifies per 100 items)
NOTE Sinomiatdistributionused for entries corrasprxhg to inspadon for nonconforming items, Poisson for inspection for number of nonconforrnities.
Table 1O-B-2 — Sampling plans for sample size code letter B
%-..-....s 0 . . . . . 1Iypu u!
ssmp-
Iing
plan
Single
Double
Muftiple
uulrlu-
IativeAcceptance Qua
sample < 4,~ 4,0 6,5 x 10
size Ac Re k Re Ac Re Ac Re AC Re
3 u 01
2 u ● use use use
4 code code code
, letter letter letter
ty Limit, normal inspection (in pera
15 25 40 65 100
Ac Re Ac Re Ac fle Ac Re Ac Re
12 23 34 56 76
02 03 13 25 36
12 34 45 67 9 10
u *
D
++ ++
nt nonconforming and nonconformities per 100 items)
x 150 x 250 x 400 x 650 x 1 00(
Ac Re Ac Re Ac Re AC Re AC Fte AC Re AC f+e AC Re Ac Re Ac R(
69 10 11 12 13 14 15 18 19 21 22 27 26 3r) 31 41 42 44 4!
47 59 6 10 7 11 9 14 11 16 1520 1722 23 29 253
10 11 12 13 15 16 16 19 2324 26 27 3435 3738 52 53 56 ~
++ ++ ++
, I I I 1 I I , n 1 I r 1 1 1
6,5 6,5 1X110 15 25 40 65 100 I 150 250 I m 1X1650 1000
I AcceptanceQuafityLimit,tightenedinspection(in percentnonconformingand nonconformitiesper 100 items)
u = use next subsequent samplesize code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
‘Re = Rejection nurkr●
= use single sampling plan above (or alternatively use code letter E)
++ = use double sampfing plan above (or alternatively use code letter D)
ulN
0Table 1O-C — Tables for sample size code Ielter C (Individual plans)
Pomnl d Iota Chart C Operating characteristic curves for single sampling plansOxpecl@robe (Curvesfor doubleandmuftipla sampfing are matched as closely as practicable)accepleai(PJ
100 100
90 90
80 80
70 70
80 60
50 50
40 40
30 30
h 20
10 10
050 100 150
0200 250 300 100 200 300 400 504 600 700 800 900 1000 1100 1200
No00
Qusfity of submitted product @, in percent nonconforming for AQLss 10, in nonconfonnities par 100 items for AQLs, 10)NOTE Values on curves are Acceptance Quality Limits (AQLs) for normal inspection.
Table 1O-C-1— Tabulated values for operating characteristic curves for single sampling plans
Pa
99,0
95,0
eo,o
75,0
50,0
25,0
10,0
5,0
1,0
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformitias per 100 items)
2,5 10 I 15 I 25 I 40 I * x 100 ~ 150 ~ 250 1~1 400 xl 650
p (in
noncof
0,201
1,02
2,09
rcarrt
!!!!ML
3,27
7,64
11,2
19,4
31,4
45,4
58,4
65,7
%
p (in nonconfonnities per 100 itams)
3+35,7 58,1 70,1
52,3 79,8 93,9
63,0 93,1 108
84,4 119 137
113 153 173
148 194 216
566
639
679
0,201
1,03
2,11
5,75
13,9
27,7
46,1
59,9
92,1
4,0 *
2,97 6,72
7,11 16,4
10,6 22,0
19,2 34,5
33,6 53,5
53,9 78,4
77,6 106
84,9 126
133 168
15 25
16,5
27,3
34,9
50,7
73,4
102
95,4 122 150
123 154 185
&207 251
249 298
273 325
318 374
373 433
435 499
495 564
534 605
612 667
250 ~ &391
398 449
429 482
485 542
553 613
627 691
699 766
745 614
635 908
400 ‘/
618
691
733w5,59
12,9
24.2
749
833
923
0606
893
986
213
36,9
45,1
60,2
4,0
134
155
201
40
185 235 2W
210 263 289
306 356 I 403 1010
1064
1171
1076
1131
1241
F
339 I403 456
650
Acceptance Qui f Limit, tightened inspection (in percent nonconforming and ncnconformities per 100 items)
NOTE Binomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformitias.
“-4IS
2500(P
an1
):2000
[so2859-1:1999
I
c53
l,,
ora o Table 1O-D — Tables for sample size code letter D (Individual plans)
Pmwntdlom Chart D Operating characteristic curves for singie sampling plans-~~ (Curves fordoubleand multiplesamplingare matchedes closelyes practicable)- (PJ
100 100
90 90
so 60
70 70
60 60
50 50
40 40
30 30
20 20
10 10
0 020 40 80 80 lm 120 140 160 100 200 300 400 500 600 700
Or.rafityof submittedproduct (p, in percentnonconforming for AQL$ S 10, in noncorrformities par 100 items for AQLs > 10)NOTE Values on curves are Acceptance Quality Limits (AQLa) for normal inspection.
Table 1O-D-1 — Tabulated vaiues for operating characteristic curves for single sampling plans
Acc@anceQualityLimit,normalinspection(inpercentnonconformingendnonconformitiesper 100items)
Pa 1,5 I 6,5 I 10 l,516r5110115i25 I 40 [xl ~ b-a 100 ~ 150 l= 250 != ‘ 400
p (inpercentnonconforming) p (in nonconformities per 100 items)
93,0 0,128 1,97 6,08 0,126 1,86 5,45 10,3 22,3 36,3 43,8 59,6 76,2 93,5 129 157 215 244 355 386
%,0 0,839 4,84 11,1 0,841 4,44 10,2 17,1 32,7 49,8 58,7 77,1 98,1 116 156 186 249 281 399 432
90,0 1,31 6,86 14,7 1,32 6,65 13,8 21,8 39,4 58,2 67,9 87,8 108 129 171 203 268 301 424 458
75,0 3,53 12,1 22,1 3,60 12,0 21,6 31,7 52,7 74,5 85,5 108 130 153 199 234 303 339 468 504
50,0 8,30 20,1 32,1 6,66 21,0 33,4 45,9 70,9 95*9 108 133 158 183 233 271 346 383 521 558
26,0 15,9 30,3 43,3 17,3 33,7 49,0 83,9 92,8 121 135 163 190 217 272 312 392 432 577 617
10,0 25,0 40,6 53,8 26,8 48,6 86,5 83,5 116 147 162 193 222 252 309 352 437 479 631 672
5,0 31,2 47,1 60,0 37,4 59,3 78,7 98,9 131 164 180 212 243 274 334 378 465 509 665 707
1,0 43,8 59,0 70,7 57,6 83,0 106 126 164 200 218 252 285 318 382 429 522 568 732 776
2,5 10 2,5 10 15 25 40
AcceptanceQualityLimit,tightenedinspection (in percent nonconforming and nonconformities per 100 items)
NOTE Binomialdkstrlbutionused for entries corresponding to inspection fornonconformingitems,Poisson forinspectionfornumberof nonconformities.
Table IO-D-2 — Sampling plans for sample size code letter D
rypa of Cumu-
eamp- IativeAcceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample <1,5 1,5 2,5 4,0 6,5 10 15 25 40 x 65 100 150 250 x 400 > 40(
pfan size Ac Re Ac Re Ac Re Ac Re AC Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac R{
Single 8 u 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 27 28 3031 41 42 4445 0
Doubfe 5 J ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 15 20 17 22 23 29 25 31 fl
10 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27 34 35 37 38 52 53 56 57
letter letter letter .
2 u * c F E #2 #2 #3 #4 04 04 05 06 17 18 29 3 10 4 12 6 15 6 16 l-l
4 02 03 03 15 16 27 38 39 4 10 6 12 7 14 10 17 11 19 1625 1727
Wdtiple 6 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19 17 24 19 27 28 35 29 38
8 02 13 25 47 59 6 11 9 12 11 15 12 17 1622 2025 2531 2834 3845 4048
10 12 34 45 67 9 10 10 11 12 13 15 16 18 19 2324 2627 3435 3738 5253 5857
<2,5 2,5 4,0 6,5 10 15 25 40 65 100 150 250 400 > 40(
I AcceptanceQualityLimit,tightenedinspection(in percentnonconformingand nonconformitiesper 100 items)
t = use nextprecedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
u = use next subsequentsamplesize codeletterfor whichacceptanceand rejectionnumbersare available
Ac = Acceptancenumber
Re = Rejectionnumber●o = use single sampling plan above (or alternatively use code letter G)
# = acceptance not permitted at this sample size
100
90
60
70
60
50
40
30
20
10
0
Table 1O-E — Tables for sample size code letter E (Individual plans)
Wrxnrorw Chart E Operating characteristic curves for single sampling plansIocpededklbe (Curvesfor double and multiple sampling are matched as closely as practicable)W@ed (PJ
100
90
60
70
60
50
40
30
20
10
10 20 30 40 500
60 5b 100 150 200 250 300 350 400 450 500
Quafii ofsubmittedproduct(p, in percent nonconforming forAQLs510, in nonmnformities per 100 items for AQLs > 10)NOTE Vafuee on cuwes are Acceptance Quality Limits (AQLs) for normal inspection.
Table 1O-E-1 — Tabulated values for operating characteristic curves for single sampling plans
Acceptance Qualify Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Pe 1,0 I 4,0 I 6,5 ] 10 1,0 I 4,0 I 6,5 I 10 ] 15 25~40~65 ~ 100 ~ 150 b-a 250
p (inpercent nonconforming) p (innonconformities per 100 items)
99,0 0,0773 1,18 3,58 6,95 o,on3 1,14 3,35 6,33 13,7 22,4 27,0 36,7 46,9 57,5 79,6 96,7 132 150 219 236
95,0 0,384 2,81 6,60 11,3 0,395 2,73 6,29 10,5 20,1 30,6 36,1 47,5 59,2 71,1 95,7 115 153 173 246 266
eo,o 0.807 4,17 8,60 14,2 0,810 4,09 8,48 13,4 24,2 35,8 41,8 54,0 66,5 79,2 105 125 165 185 261 262
75,0 2,19 7,41 13,4 19,9 2,21 7,39 13,3 19,5 32,5 45,6 52,6 66,3 80,2 94,1 122 144 “167 206 288 310
50,0 .5,19 12,6 20,0 27,5 5,33 12,9 20,6 28,2 43,6 59,0 66,7 62,1 97,4 113 144 167 213 236 321 344
25,0 10,1 19,4 28,0 36,1 10,7 20,7 30,2 39,3 57,1 74,5 83,1 100 117 134 167 192 241 266 355 379
10,0 16,2 26,8 36,0 44,4 17,7 29,9 40,9 51,4 71,3 80,5 100 119 137 155 190 217 269 295 388 414
5,0 20,6 31,6 41,0 49,5 23,0 36,5 46,4 59,6 80,9 101 111 130 150 168 205 233 266 313 409 435
1,0 29,8 41,3 50,6 58,6 35,4 51,1 64,7 7,3 101 123 134 155 176 196 235 264 321 349 450 477
1,5 6,5 10 1,5 6,5 10 15 25
Acceptance Qualify Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
NOTE Binomialdistributionusedfor entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities.
Table 10-E-2 —Sampling plans forsample sizecode letter E
m
rype Of Cumu- AcceptanceQuafifyLimit,normalinspection(inpercentnonconformingand nonconforrnifiesper 100 items)esmp- Iative
Iing sample <1,() 1,0 1,5 2,5 4,0 6,5 10 15 25 40 65 100 150 250 > 25C
plan size Ac Re Ac Re Ac Re Ac Re AC Re AC Re Ac Re AC Re AC Re AC Re AC Re AC Ffe AC Ffe AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC f+~
Single 13 # 01 12 23 34 56 76 89 10 11 12 13 14 15 18 19 21 22 2728 30 31 41 42 4445 f)
Double 8 u ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 1520 1722 2329 2531 fl
16 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 2324 2627 3435 3738 52 53 5657
letter letter letter
3 u ● D G F #2 #2 #3 #4 04 04 05 06 17 18 29 3 10 4 12 6 15 6 16 t
6 02 03 03 15 16 27 38 39 4 10 6 12 7 14 10 17 11 19 1625 1727
WJltiple 9 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19 1724 1927 2635 2938
12 02 13 25 47 59 6 11 9 12 11 15 12 17 1622 2025 2531 2834 3845 40M
15 12 34 45 67 9 10 10 11 12 13 15 16 18 19 2324 2627 3435 3738 5253 5657
<1,5 1,5 2,5 4,0 6,5 10 15 25
I Acceptance QualityLimit,tightenedinspection(inpercentnonconformingand nonconformitiesper 100 items)
11 = use nextprecedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
u = use nextsubsequentsamplesize code letterfor whichacceptanceand rej~lon numbersare available
Ac = Acceptancenumber
Re = Rejectionnumber● = use singlesamptingplan above (or alternativelyuse codeletterH)
# = acceptancenotpermittedat thissamplesize
Ur00 n Table 1O-F — Tables for sample size code letter F (Individual plans)
Pucantdlors Chart F Operating characteristic curves for singie sampling plans●@OlxUIrobe (Curves for double and multiple sampling are matched as closely as practicable)
-~ (PJ
—
100 100
w 90
So 80
70 70
60 60
60 50
40 40
30 30
20 20
10 10
010 20 30
040 50 20 40 60 60 100 120 140 160
Quality of subrrdttad product (p, in percent nonconforming for AQLs S 10, in nonconformities per 100 items for AQLs. 10)NOTE Values on curves are Acceptance Quality Limits (AQLs) for normal inspection.
Table 10-F-1 — Tabulated vaiuea for operating characteristic curves for single sampling plans
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Pa 0,65 ] 2,5 I 4,0 I 6,5 I 10 I 0,65 I 2,5 I 4,0 ] 6,5 ] 10 15 ]~1 25 1~1 40 1~] 65
p (in percent nonconforming) p (in noncmformities per 100 items)
99,0 0,0502 0,759 2,27 4,36 9,75 0,0503 0,743 2,18 4,12 6,93 14,5 17,5 23,9 30,5 37,4 51,7 62,9
95,0 0,256 1,81 4,22 7,14 14,0 0,256 1,78 4,09 6,83 13,1 19,9 23,5 30,8 38,4 46,2 62,2 74,5
90,0 0,525 2,69 5,64 9,02 16,6 0,527 2,66 5,51 8,72 15,8 23,3 27,2 35,1 43,2 51,5 68,4 81,2
75,0 1,43 4,81 8,70 12,8 21,6 1,44 4,81 8,64 12,7 21,1 29,8 34,2 43,1 52,1 61,2 79,5 93,4
50,0 3,41 8,25 13,1 18,1 27,9 3,47 8,39 13,4 18,4 28,4 38,3 43,3 53,3 63,3 73,3 93,3 10s
26,0 6,70 12,9 18,7 24,2 34,8 6,93 13,5 19,6 25,5 37,1 48,4 54,0 65,1 76,1 67,0 109 125
10,0 10,9 16,1 24,5 30,4 41,5 11,5 19,4 26,6 33,4 46,4 56,9 65,0 77,0 88,9 101 124 141
5,0 13,9 21,6 28,3 34,4 45,6 15,0 23,7 31,5 3S,8 52,6 65,7 72,2 64,6 97,2 109 133 151
1,0 20,6 28,9 35,6 42,1 53,2 23,0 33,2 42,0 50,2 65,5 80,0 67,0 101 114 127 153 172
1,0 4,0 6,5 10 1,0 4,0 6,5 10 15 ~ 25 ~ 40 65 x
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
NOTE Binomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconforrnities.
Table 1O-F-2 — Sampling plans for sample size code letter F
—
Type of Cumu-eamp- Iative
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample < (),65 0,65 1,0 ~ 1,5 2,5 4,0 6,5 10 15 ~ -25 ~ 40 ~ 65 >65
plan size Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re AC Re AC Re Ac Re
Single 20 u 01 12 23 34 56 78 89 10 11 12 ?3 14 15 18 19 21 22 t
Double 13 lJ ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 t
26 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 2324 2627
letter letter letter
5 u ● E H G #2 #2 #3 #4 04 04 05 06 17 18 29 t
10 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multiple 15 02 03 14 28 38 49 6 10 7 12 8 13 11 17 13 19
20 02 13 25 47 59 6’11 9 12 11 15 12 17 1622 2025
25 12 34 45 67 9 10 10 11 12 13 15 16 18 19 2324 2627
<1,0 1,0 ~ 1,5 2,5 4,0 6,5 10 15
I Acceptance Quafii Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
lf = use nerd preceding sample size code letter for which acceptance and rejection numbers are available
u = use next subsequent sample size code letter for which acceptance and rejection numbers are available
AC = Acceptance number
Re = Rejection number● = use single sampling plan above (or alternatively use code letter J)
# = acceptance not p&mitted at this sample size
.—------ - .—‘t
!--7
Ba?A&%m.”.i . .t. -.- ,...,. .?-- ,----- ----~ .’~..,.,.~ ~,.
ZG
G)Table 1O-G — Tables for sample size code letter G (Individual plans) ON
~ul
Percanrorma Chart G Operating characteristic curves for single sampiing plans~g
expscledtotm (Curves for double and multiple sampling are matched as closely as practicable)onL~
atipred (PJ:a
100 100 Q-eo-
90 90co..
M
80 80 8
70 70
80 60
50 50
40 40
30 30
20 20
10 10
05 10 15
020 25 30 35 40 20 40 60 80 100
Quality of submitted product (p, in percent nonconforming for AQLs S 10, in nonconformities per 100 items for AQLs > 10)NOTE Values on curves are Acceptance Quality Limits (AQLs) for normal inspection.
Table 1O-G-1 Tabulated values for operating characteristic curves for single sampling plans
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformt!es per 100 items)
Pa 0,40 1,5 I 2,5 I 4,0 I 6,5 10 0,40 1,5 2,5 4,0 6,5 10 1~1 15 1~] 25 1~] 40
p (in percent nonconforming) p (in nonconformities per 100 items)
99,0 0,0314 0,471 1,40 2,67 5,88 9,73 0,0314 0,464 1,36 2,57 5,58 9,08 11,0 14,9 19,1 23,4 32,3 39,3
95,0 0,160 1,12 2,60 4,38 8,50 13,1 0,160 1,11 2,56 4,27 8,17 ?2,4 14,7 19,3 24,0 28,9 38,9 46,5
90,0 0,329 1,67 3,49 5,56 10,2 15,1 0,329 1,66 3,44 5,45 9,85 14,6 17,0 21,9 27,0 32,2 42,7 50,8
75,0 0,895 3,01 5,42 7,98 13,4 19,0 0,899 3,00 5,40 7,92 13,2 18,6 21,4 26,9 32,6 38,2 49,7 58,4
50,0 2,14 5,19 8,27 11,4 17,5 23,7 2,17 5,24 8,36 11,5 17,7 24,0 27,1 33,3 39,6 45,8 58,3 67,7
25,0 4,24 8,19 11,9 15,4 22,3 29,0 4,33 8,41 12,3 16,0 23,2 30,3 33,8 40,7 47,6 54,4 67,9 78,0
10,0 6,94 11,6 15,8 19,7 27,1 34,0 7,20 12,2 16,6 20,9 29,0 36,8 40,6 48,1 55,6 62,9 77.4 88,1
5,0 8,94 14,0 18,4 22,5 30,1 37,2 9,36 14,8 19,7 24,2 32,9 41,1 45,1 53,0 60,8 68,4 83,4 94,5
1,0 13,4 19,0 23,8 28,1 36,0 43,2 14,4 20,7 26,3 31,4 41,0 50,0 54,4 63,0 71,3 79,5 95,6 107
0,65 2,5 4,0 6,5 10 0,65 2,5 4,0 6,5 10 ~ 15 ~ 25 ~ 40 ~
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
NOTE Binomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities.
7.
n
Table 1O-G-2 — Sampling plans for sample size code letter G
Type Of Cumu-aamp- Iatfve
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
fing sample < (),40 (),4() 0,65 1,0 1,5 2,5 4,0 6,5 10
pten size Ac Re Ac Re AC Re AC Re AC Re AC Re Ac Re AC Re AC Re AC Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re
Single 32 J 01 12 23 34 56 78 89 lf) 11 12 13 14 15 18 19 21 22 0
Double 20 # ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 fi
40 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
latter letter letter
8 u ● F J H #2 #2 #3 #4 134 04 05 06 17 18 29 fl
16 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multiple 24 02 03 14 26 38 49 6 10 7 12 6 13 11 17 13 19
32 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
40 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,65 0,65 1,0 1,5 2,5 4,() 6,5 10
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items)
t = use next precedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
u = use next subsequentsamplesize code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number●
= use single sampfing plan above (or alternatively use code letter K)
# = acceptance not permitted at this sample size
___ . ...T—’--YIaHi ,:---ly i-
K .s., .: s .i ,., U.* ~ . - .,-. .—... . .. .,-. . . . . . ‘ * .&
aN
Z5iz
z Table 1O-H — Tables for sample size code letter H (Individual plans) ON~ul
Pelwrird* Chart H Operating characteristic curves for single sampling plans~o~o
-~~ (Curves for doubfe and muftiple eempfing are matched as closely as practicable)an
acaptml (PJL~
:2Wdw-a..
g
5 10 15 20 25 30 35 40 45 50 55 60 65
QuaMy of submitted product (p, in percent nonconforming for AQLsS 10, in nonconformitiesper 100 items for AQLs, 10)NOTE Vefuee on curves are Acceptance Quality Limits (AQLs) for normal inspection.
Table 1O-H-1 — Tabulated values for oparating characteristic curves for single sampling plans
-n~ QuMty ~mt nom insption @ percentnonconformingandnonconforrnitiesper 100items)Pa 0,25 1,0 1,5 2,5 4,0 6,5 10 0,25 1,0 1,5 2,5 4,0 I 6,5 ]~1 10 ]~1 15 1~1 25
p (in percent nonconforming) p (in nonconfomnities par 100 items)
89,0 0,0201 0,300 0,886 1,68 3,69 6,07 7,36 10,1 0,0201 0,297 0,872 1,65 3,57 5,81 7,01 9,54 12,2 15,0 20,7 25,1
95,0 0,103 0,715 1,66 2,78 5,36 8,22 9,72 12,9 0,103 0,711 1,64 2,73 5,23 7,96 9,39 12,3 15.4 18,5 24,9 29,8
90,0 0,210 1,07 2,22 3,53 6,43 9,54 11,2 14,5 0,211 1,06 2,20 3,49 6,30 9,31 10,9 14,0 17,3 20,6 27,3 32,5
75,0 0,574 1,92 3,46 5,10 8,51 12,0 13,8 17,5 0,575 1,92 3,45 5,07 8,44 11,9 13,7 17,2 20,8 24,5 31,8 37,4
50,0 1,38 3,33 5,31 7,29 11,3 15,2 17,2 21,2 1,39 3,36 5,35 7,34 11,3 15,3 17,3 21,3 25,3 29,3 37,3 43,3
25,0 2,73 5,29 7,69 10,0 14,5 18,8 21,0 25,2 2,77 5,39 7,84 10,2 14,8 19,4 21,6 26,0 30,4 34,8 43,5 49,9
10,0 4,50 7,56 10,3 12,9 17,8 22,4 24,7 29,1 4,61 7,76 10,6 13,4 18,5 23,5 26,0 30,8 35,6 40,3 49,5 56,4
5,0 5,82 9,14 12,1 14,8 19,9 24,7 27,0 31,6 5,99 9,49 12,6 15,5 21,0 26,3 28,9 33,9 36,9 43,8 53,4 60,5
1,0 8,80 12,6 15,8 18,7 24,2 29,2 31,6 36,3 9,21 13,3 16,6 20,1 26,2 32,0 34,8 40,3 45,6 50,9 61,2 68,7
0,40 1,5 2,5 4,0 0840 1,5 2,5 4,0 6,5 ~ 10 ~ 15 ~ 25 ~
Acceptance Quality Limit, tightened inspection (in percent nonconfomning and nonconformities per 100 items)
NOTE Sinomial distribution used for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities.
... . ...
Table 1O-H-2 — Sampling plans for sample size code letter H
Type of Cumu-samp- Iative
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample <0,25 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 ~ 10 ~ 15 x 25 >25
plan size Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re
Single 60 u 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 l-i
Double 32 u ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 t
64 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
13 u ● G K J #2 #2 #3 #4 04 04 05 06 17 18 29 1?
26 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multiple 39 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19
52 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
65 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,40 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 25 >25
I Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
t = use next preceding sample size code letter for which acceptance and rejection numbers are available
u = use next subsequent sample size code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number●
= use single sampling plan above (or alternatively use code letter L)
# = acceptancenotpermittedat ths samplesize
-— . .. .‘:
*X4AW..J. . . ------ --- ..
* Table 1O-J — Tables for sample size code letter J (Individual plans)
Perssntd - Chart J Operating characteristic curves for single sampling plans-~~ (Curvesfor double and multiple sampling are matched as closely es practicable)
a (PJ
Quallty of submittedproduct (p, in percent nonconforming for AQLs 510, in nonconformifies per 100 items for AQLs > 10)NOTE ValueS on curves are Acceptance Qualify Limits (AQLs) for normal inspection.
Table 1W-1 — Tabulated values for operating characteristic curves for single esmpfing plans
Acceptance Quality Limit, normalinspection (in percent nonconforming and nonconforrnities per 100 items)
P,
p (in percent nonconforming) p (in nonconformities per 100 items)
88,0 0,0126 0,187 0,550 1,04 2,28 3,73 4,51 6,17 7,93 9,76 0,0126 0,1W 0.545 1,03 2.23 3,63 4.36 5,96 7,62 9*35 12,9 15,7
95,0 0,0641 0,448 1,03 1#73 3,32 5,07 6,00 7,91 9,69 11,9 0,0641 0,444 1,02 1,71 3,27 4,96 5,87 7,71 9,61 11,6 15,6 18,6
80,0 0,132 0,667 1,38 2,20 3,99 5,91 6.90 8,95 11?0 13.2 0,132 ov665 1,38 2,18 3$4 5,82 6,79 8,78 1o16 12,9 17,1 20,3
75,0 0,359 1,20 2,16 3,18 5,30 7,50 8,61 10,9 13,2 15,5 0,360 1,20 2,16 3,17 5,27 7,45 8,55 10,8 13,0 15,3 19,9 23,4
60,0 0,863 2,08 3,33 4,57 7,06 9,55 10,8 13,3 15,8 18,3 0,866 2,10 3,34 4,59 7,09 9,59 10,8 13,3 15,8 18,3 23,3 27,1
25,0 1,72 3,33 4,84 6,30 9,14 11,9 13,3 16,0 18,6 21,3 1,73 3,37 4,90 6,39 9,28 12,1 13,5 16,3 19,0 21,7 27,2 31,2
10,0 2,64 4,78 6,52 8,16 11,3 14,3 15,7 18,6 21,4 24,2 2,86 4,86 6,65 8,36 11,6 14,7 16,2 19,3 22,2 25,2 30,9 35,2
5,0 3,6s 5,79 7,66 9,41 12,7 15,8 17,3 20,3 23,2 26,0 3,74 5,93 7,67 9,69 13,1 16,4 18,0 21,2 24,3 27,4 33,4 37,8
1,0 5,59 8,01 10,1 12,0 15,6 18,9 20,5 23,6 26,6 29,5 5,76 8,30 10,5 12,6 16,4 20,0 21,8 25,2 26,5 31,8 38,2 42,9
0,25 1,0 1,5 2,5 4,0 0,25 1,0 1,5 2,5 4,0
Acceptance QuaIii Limit, tightened inspacticm (in percent nonconforming and nonconformities per 100 items)
.
NOTE Binomialdistributionusedforentriescorrespondingto inspectionfornonconformingitems, Poisson for ins~lon for number of nonconformities.
Table 10-J-2 — Sampling plans for sample size code letter J
Type of Cumu-Ietiie
AcceptancaQualityLimit,normalinspection(in percentnonconformingand nonconformitiesper 1001tems)
ling sample < (),15 (),15 0,25 0,40 0,65 1,0 1,5 2,5 4,0 ~ 6,5 ~ 10 ~ 15 >15plan size Ac Re Ac Re. Ac Re ACRe Ac Re Ac Re AC Re AC ne AC Re AC Re Ac Re Ac Ffe Ac Re Ac R8 AC Re Ac Re Ac Re
single 80 u 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 fi
Doubfe 50 J *use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 fl
100 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
20H L K
u ●
#2 #2 #3 #4 04 04 05 06 17 18 29 fi
40 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multiple 60 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19
80 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
100 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,25 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5 10 15 >15
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items)
II = use nextprecedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
u = use nextsubsequent sample size code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number●
= use single sampling plan above (or alternatively use code letter M)
# = acceptance not permitted at this sample sizeM
.s
al Table 1O-K — Tables for sample size code letter K (Individual plans)55
x
ON~ur
Palcw40trote Chart K Oparating characteristic curves for single sampllng plans 88
@spadalttoba (Curves fordoubleandmultiple sampling are matched es closely se practicable)~-
- VJLm
100 100:s
90 90 !#= . .
80 60N
870 70
so 60
50 50
40 40
30 30
20 20
10 10
01,0
02,0 3,0 4,0 5,0 6,0 7.0 5 10 15 20 25
OuaJity of submitted product in percent nonconforming or in nonconformities par 100 items
NOTE values oncufveeare AcceptanmQualityLdta (AQLs)fornormalinspection.
Table I&K-l — Tabulatedvaluesfor operatingcharacteristiccurves for single sampling plans
I AccapWm OuaIityLimit, Mrrnal inapactii (i percentnonconformingend rwncwrtonnitieapr 100 items) I
Pa [0,10 0,40 0,66 1,0 1,5 2,5 4,0 6,5 10
9s,0
65,0
90,0
75,0
60,0
2s,0-
10,0
5,0
1,0
o,oOso4 0,119
0,0410 0,2s6
0,0643 0,425
I0,230 0,769
I0,553 1,34
+
1.10 2,14
1,63 3,0s
2,37I
3,74
0,351
0,6s7
0,663
1,36
2,13
3,11-
4,20
4,e6
6,55
1,0
p(inparcentl
0,664 I 1,45 I 2,36
1,40 2,54 3,76
2,03 3,39 4,79
2.S3 I 4,52 I 6,12
*6,0S I 6,23 I 10,3
*
nconforming)
I2,s6 3,s0 5,00
-t--t
3,el 5,01 6,26
4,39 5,69 7,01
5,S0 6,64 S,39
6,62 6,51 10,1
11,3 13,2II 15,1
13.4 15,5 17,5
ElxE
6,15 I S,S5
7,54
I
10,2
8,37 11,1
9,68
I12,s
11,7 14,9
13,7 I 17,1
15,7 19,3
I17,0 20,6
19,4 23,2
10,4
12,2
13,3
15,1
17,3
19,6
21,9
23,3
26,0
0,10
P (innonccdormifie.sper 100 items)
I I II0,006040,119 0,349 0,659 1,43 2,32 2,81 I3,S2 4,6S 5,96 8,2S I 10,1
0,0410 0,264 0,6s4 1,09 2,0e 3,16 3,76 4,e4 6,15 7,40 9,95 11,9
0,0s43 0,425 0,ss2 1,40 2,52 3,72 4,35 5,62 6,92 6,24 10,9 13,0
0230 0,769 1,38 2,03 3,3s 4,76 5,47 6,90 6,34 9,79 12,7 14,9
0,55s 1,34 2,14 2,94 4,54 6,14 6,94 6,53 10,1 11,7 14.9 17,3
1,11 2,15 3,14 4,09 S,94 7,75 6,84 10,4 12,2 13,9 17,4 20,0
1,s4 3,11 4,26 5.34 7,42 9,42 10,4 12,3 14,2 16,1 19,6 22,5
2,40 3,s0 5,M 6,20 6,41 10,5 11,5 13,6 15,6 17,5 21.4 24,2
3,ss 5,31 6,72 6,04 10,5 12,6 13,9 16,1 16,3” 20,4 24,5 2:,5
0,15 0,65 1,0 1,5 2,5
I Accaptanm Ouafity Limit, fightenad inapactionfin percant nonconformingand nonmnformities per 100 items)J
NOTE Binomialdistributionusedforentriescorrespondingtoinspacth fornonconformingitems,Poissonforinepetilonfor number of nonconformities.
Table IO-K-2 — SsmpIing plans for sample size code letter K
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)GSarnp
fing
plan
single
%Iative
Sampl(
size
125
60
160
32
64
96
128
160
0,25
Ac Rs
1,0
Ac RS
34
<0,1 xAc Re
89
r4,0
Ac Re
x-xx12 1:
0,15
Ac RIL-0,40Ac R<
6,5
Ac Re
14 15
7 11
18 19
17
4 10
8 13
12 17
18 19
d
x 10
Ac Re Ac RC
18 19 21 z
9 14 11 1(
23 24 28 27
18 29
6 12 7 14
11 17 13 19
16222 0 25
?3 24 26 27
10
0,85 2,5Ac R Ac R[ Ac RI Ac R(
u o“ 12 56 10 1
59
12 1:
Doubk ●u use use 02
12
03
34
use
code
13
45
25
67
3f
9 1(
47
10 1“
8 1(
15 1[letter
J
~
letter
M Lu ●
#2
02
02
02
12
#2
03
D3
13
34
#3
03
14
25
45
#4
15
26
47
67
04
16
38
59
9 10
x
04
27
49
6 11
10 11
05
38
6 10
9 12
12 13
z
06
39
7 12
11 15
15 16
Mtipfe
t
<0,15 I 0,15 0,25 D,40 0.65 1,0 1,5 2,5 4.0 6,5 >10AcceptanceQualityLimit,tightened inspection (in percent nonconforming and nonconfomties per 100 items)
11 = use next preceding sample size code letter for which acceptance and rejection numbers are available
u = use next subsequent Sample size code letter for which acceptance and rejection numbers are available
Ac = Acc@ance number
Re = Rejection number● = use singlesamplingplanabove (or alternative~use code letterN)
# = acceptancedotpermittedat thissamplesize
u)ao Table 1O-L — Tables for sample size code letter L (Individual plans)
mPermmiel lots Chart L Operating characteristic curves for single sampting plansem=ted robe (Curves for doubfe and multiple sampling are malchad as closely 8s practicable)acc+ted (PJ
Quafity of submitted product in percent nonconforming or in nonconformities per 100 itemNOTE Values on curves are Acceptance Quality Limits (AC2LS)for normal inspection.
Table If)-L-l — Tabulated values for operating characteristic curves for single sampling planS
Acceptance Quahty Limit, normal inspection (in percent nonmnforming and nonconformitiasper 100 !teme)
Pa 00= I 0,25 0,40 0,66 1,0 1,5 2,5 4,0 6,5 1 0,065 I 0,25 0,40 0,65 1,0 1,5 2,5 4,0 6,5
I rJ (in marcent nonconforming)
I89,0 osro503 0,074 0,219 0,414 O,eoo 1,47 I1,77 2,42 3,10
95,0 0,0256 0,178 0,410 0,668 1,31 2,01 2,37 3,11 3,e9
80,0 0,0527 0,266 0,552 0,875 1,56 2,34 2,73 3,54 4,36
75,0 0.144 o,4el 0,864 1,27 2,11 2,99 3,43 4,33 5,23
50,0 0,346 0,636 1,33 1,63 2,63 3,63 4,33 5,33 6,32
25,0 0,691 1,34 “1,95 2,64 3,69 4,81 5,36 6,46 7,55
10,0 1,14 1,93 2,64 3,31 4,59 5,82 6,42 7,60 8,76
5,0 I 1,49 I 2,35 ] 3,11 I 3,63 I 5,18 I 6,47 I 7,10 I 8,33 I 9S4
1,0 2,28 3,27 4,14 4,93 6,42 7,82 6,50 9,82 11,1
0,10 0,40 0,65 1,0 1,5
p (in nonconformities per 100 items)
3,80 5,2e 6,43 0,00503 0,074 0,218 0,412 0,693 1,45 1,76 2,39 3,05 3,74 5,17 6,29
4,66 6,31 7,57 0,0256 0,176 0,409 0,663 1,31 1,99 2,35 3,08 3,64 4,62 6,22 7,45
5,2a 6,91 6,22 0,0527 0,266 0,551 0,672 1,58 2,33 2,72 3,51 4,32 5,15 6,64 6,12
6,15 8,00 9,40 0,144 0,461 0,864 1,27 2,11 2,96 3,42 4,31 5,21 6,12 7,85 9,34
7,32 9,32 10,6 0,347 0,639 1,34 1,84 2,64 3,63 4,33 5,33 6,33 7,33 9,33 10,6
6,63 10,6 12,4 0,693 1,35 1,96 2,55 3,71 4,84 5.40 6,51 7,61 6,70 10,9 12,5
9,91 12,2 13,8 1,15 1,94 2,66 3,34 4,64 5,69 6,50 7,70 6,69 10,1 12,4 14,1
10,7 13,1 14,8 1,50 2,37 3,15 3,88 6,26 6,57 7,22 0,4s 9,72 10,9 13,3 15,1
12,4 14,8 16,6 2,30 3,32 4,20 5,02 6,55 8,00 8,70 10,1 11,4 12,7 15,3 17,2
I A.%eptanca Quality Limit, tlghtenad mspaction (in percent nonconformingand nonconlonnities lwr 100 items)1
NOTE Binomial distribution used for entries correspondingtoinspectionfornonconformingitems,Poissonforinspectionfor number of nonconformities.
Table 1O-L-2 — Sampling plans for sample size code letter L
Type of Cumu-semp- Iative
AcceptanceQualiiyLimit,normalinspection(in percent nonconforming and nonconformities per 100 items)
Iing sample <0,085 0,065 0,10 ~ 0,15 0,25 0,40 0,65 1,0 1,5 ~ 2,5 ~ 4,0 ~ 6,5 >6,5
plan size Ac Re Ac Re Ac Fte Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re
Single 200 u 01 12 23 34 56 76 89 10 11 12 13 14 15 18 19 21 22 t
Doubfe 125 u “ use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 ~
250 coda code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
50 u ● K N M #2 #2 #3 #4 04 04 05 06 17 18 29 t
100 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multfpfa 150 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19
200 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
250 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,10 0,10 0,15 0,25 0,40 0,65 1,0 1*5 2,5 4,0 6,5 >6,5
I AcceptanceQuaIii Limit,tightenedinspection (in percent nonconforming and nonconformities per 100 items)
t = use nextprecedingsamplesize code letter for which acceptance and rejection numbers are available
u = use next subsequent sample size code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number●
= use aingfe eampfing plan above (or alternatively use code letter P)
# . acceptke nd permitted et thii sample size
-40
=
Table 1O-M — Tables for sample size code letter M (Individual plans)giz
M
Pemantdtots Chart M Operating characteristic cuwee for singie sampiing pians~fn@o
~to~ (Curvesfordoubleandmultiplesamplingare matchedas closelyas practicable)~ors-
~ (PJ~m. . m.aQA@-a..
g
1,0 2,0 3,0 4,0 5,0 6,0 7,0 8,0
@sfW of ~brnitied Prod@ in percent nonconforming or in nonconformities per 100 items
9,0 10,0
NOTE Values on ctmes are Acceptance QuaMy Limits (AQLs) for normal insptilon.
Table I&M-l — Tabuiated vaiues for operating characteristic curves for single sampiing pians
AcceptanceQuaiii Limit, normal inapactkm (in percent noncwrforming and nonconformitiea per 100 items)
Pa o.~ [ 0,15 0,26 0,40 0,65 1,0 1,5 2,5 4,0 O,wo I 0,15 0,25 0,40 0,65 1,0 1,5 2,5 4,0
p (in percent nonconforming) p (in nonconforrnities per 100 items)
2$*O 0,00319 0,047 0,139 0,262 0,570 0,929 1,12 1,53 1,g5 2,40 3,33 4,05, 0,o11319 0,047 0,138 0,261 0,567 0,923 1,11 1,51 1,94 2,37 3,28 3,99
25*O 0,0163 0,113 0,260 0,435 0,$33 1,27 1,50 1,97 2,48 2,98 3,99 4,78 0,0163 0,113 0,280 0,434 0,830 1,26 1,49 1,96 2,44 2,94 3,95 4,73
eo,o 0,0334 0,169 0,350 o,55g 1,W 1,48 1,73 2,24 2,76 3,29 4,37 5,20 0,0334 0,169 0,350 0,554 1,00 1,48 1,72 2,23 2,74 3,27 4,34 5,16
76,0 0,0913 0,305 0,649 0,s05 1,34 1,89 2,17 2,74 3,32 3,90 5,07 5,95 0,0913 0,305 0,548 0,805 1,34 1,89 2,17 2,74 3,31 3,69 5,05 5,93
50,0 0,220 0,632 0,648 1,16 l,M 2,43 2,75 3,3s 4,02 4,65 5,92 6,87 0,220 0,533 0,s49 1,17 1,s0 2,43 2,75 3,39 4,02 4,66 5,93 6,S8
25,0 0,439 0,853 1,24 1,62 2,35 3,06 3,41 4,11 4,81 5,49 6,86 7,87 0,440 0,855 1,24 1,62 2,36 3,07 3,43 4,13 4,83 5,52 6,90 7,92
10,0 0,728 1,23 1,68 2,11 2,92 3,71 4,08 4,85 5,59 633 7,77 6,S4 0,731 1,23 1,69 2,12 2,94 3,74 4,13 4,69 5,64 6,39 7,86 8,95
5,0 0,s47 1,EO 1,99 2,44 3,31 4,13 4,54 6,33 6,10 6,86 8,36 9,46 0,951 1,51 2,00 2,46 3,34 4,17 4,58 5,38 6,17 6,95
1,0 1,45
8,47 9,60
2,0s 2,64 3,15 4,11 5,01 5,44 6,29 7,12 7,93 9,51 10,7 1,46 2,11 2,67 3,19 4,16 5,08 5,52 6,40 7,24 8,06 9,71 10,9
0,065 0,25 0,40 O,= 1,0
Acceptance Quality Limit, tightened inspactkm (in percent nonconformingand nonconformities per 100 items)
NOTE Binomialdistributionused forentriescorrespondingtoinspectionfornonconformingitems,Poissonforinspectionfornumberof nonconformifies.
Table 1O-M-2 — Sampling plans for sample size code letter M
Type of Cumu-
samp- IativeAcceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample <0,040 0,040 0,065 ~ 0,10 0,15 0,25 0,40 0,65 1,0 ~ 1,5 ~ 2,5 ~ 4,0 <4,0
plan size Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re IIC Re
Single 315 u 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 fl
Double 200 u ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 l?
400 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
80 u ● L p N #2 #2 #3 #4 04 04 05 06 17 18 29 fl
160 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Multiple 240 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19
320 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
400 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,065 0,065 ~ 0,10 0,15 0,25 0,40 0,65 1,0 ~ 1,5 2,5 4,0 >4,0
I Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconforrnities per 100 items)
t = use next preceding sample size code letter for which acceptance and rejection numbers are available
$ = use next subsequent sample size code letter for which acceptance and rejection numbers are available
Ac = Acceptance number
Re = Rejection number* = use single sampling plan above (or alternatively use code letter Q)
# = acceptance not permitted at this sample size
id z Table 1O-N — Tables for sample size code letter N (Individual plans)
Fercemdfm Chart N Operating characteristic curves for single sampling plans-~~ (Curves for double and multiple samplingare matchedas closely as practicable)
q (PJ
100
so
80
70
60
50
40
w
20
10
00,5 1,0 1,5 2,0 2,5 3,0 3,5 4,0 4,5 5,0 5,5 6,0 6,5
Qu@ity of submitted product in percent nonconforming or in nonconformities per 100 itemsNOTE Valueson ourvesare AcceptanosQuahfyUmits(AQLs)fornormalinspection.
No00
Table 10-N-1— Tabulatedvalueafor operetlngcharacteristiccurvesfor single sampling plans
wotion (in percent normnfcwrning and nonconformities pa 100 items)
3 42,5
2,51
Accaptanoe Ouality Limit, normal in
1=Pa 0,025 0,10 0,15 2,5 I 0,025 0,10 0,15 0,25 0.40 1.0
p (in peroent nonconforming)
O,tea 0,368 0,564 0.706 0,959 1,23 1,51
0,274 0,524 o,7e9 0,942 1,24 1,54 1,86
0,349 0,632 o,e33 1,09 1,41 1,74 2,07
0,507 0,s45 1,19 1,37 1,73 2,09 2,45
0,734 1,13 1,53 1,73 2,13 2,53 2,93
1,02 1,48 1,83 2,15 2,60 3,03 3,47
1,33 1,s5 2,34 2,59 3,06 3,54 4,00
1,54 2,09 2,61 2,87 3,37 3,S6 4,34
?formities par
+
I00 its
h-1,22 1,50 2,07
2,49IS8,0 0,00201 0,03
0,071
0,106
0,087 0,s54
2,9s1,23 1,54S5,0 I 0,0103 0,164 0,796 I 0,939
2,75 3,26 0,0211 0,106 0,220 0,349 0,630
3,19 3,75 0,0575 0,192 0,345 0,507 0,s44
3,73 433 0,139 0,336 0,535 0,734 1,13
4,33 4,97 0,277 0,539 0,764 1,02 1,4s
4,92 5,60 0,461 0,776 1,06 1,34 1,85
t
30,0 0,0211
75,0 0,0575
80,0 0,139
0,931 I 1,09 1,40 2,73
13,25
3,74
4,33
0,192 1,19 I 1.37 1,72 2,08 I2,45
2,53 2,93
3,1s
3,730,335 0,534 1,53 I 1,73 2,13
t
3,04 3,48
3,56 4,03
3,89 4,3s d4,99
5,64
6,05
8,67
+
25,0 0,277
10,0 0,459
0,7s3
1,08 +
1,94 2,16
2,35 2,60
4,35
4,95
5,34
6.12
5,0 I 0,5s7 0,s45 2,63 I 2,89 3,391,25 5,29 ] 5,SS I 0,53S I 0,949 I 1,26 I 1,55 I 2,10
+
1,0 0,917
0,040
1,32 1,67
0,26
1,99 2,50 3Bj7 3845 3,99 4,51 5,03
0,40 0,65
6,04
2,5 *
3,20 3,48
1,0
4,03
z &4,56 5,09
1,50,15 2,5
L I Acceptance QuaIii Limit, tightaned inspection (in percent nonconformingand nonconformities per 100 items) INOTE Binomialdistribution used for entries corresponding to insptilon for nonconforming items, Poisson for inspection for number of nonconformities.
.- T..-
—.
1
.—
z
Table 1O-N-2 — Sampling plans for sample size code letter N
Type of Cumu-
Semp IativeAcceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample <0,025 0,025 (),040 ~ 0,065 (),1() 0,15 0,25 0,40 0,65 ~ 1,0 ~ 1,5 2,5 >2,5plan size Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re
Single 500 J 01 12 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 n
Double 315 u ● use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 l-f
630 code code code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
125 u ● M Q p #2 #2 #3 #4 04 04 05 06 17 18 29 l-f
250 02 03 03 1 5 16 27 38 39 4 10 6 12 7 14
Muftiple 375 02 03 14 26 38 49 6 10 7 12 6 13 11 17 13 19
500 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
625 12 34 45 67 9 10 It) 11 12 13 15 16 18 19 23 24 26 27
e 0,040 0,040
I AcceptanceQualityLimit,tightenedinspection(in percentnonconformingand nonconformitiesper 100 items)
11 = use next precedingsamplesize code letterforwhichacceptanceand rejection numbers are available
u = use next subsequent sample size code letter for which acceptance and rejection numbers are available
~ = ~ number
Re = Rejectionnumber● = use singleaampfingplan above (or alternativelyusecode letterR)
# = acceptancenotpermittedat thii samplesize
-..-..
c. .,.% ,,
w Table 1O-P — Tables for sample size code letter P (Individual plans)
Parcenforlom Chart P Operatingcharacteristiccurves for single sampling plansespsciedtobe (Curves for double and multiple sampling are matched as closely as practicable)
asceksad(PJ
1
0
Oualityof submittedproductin percent nonconforming or in nonconformities per 100 itemsNOTE Values on curves are Acceptance QuaMy Limits (AQLs) for normal inspection.
Table IO-P-1 — Tabulated values for operating characteristic curves for single sampling plans
AcceptanceQualify Limit, normal inepeation(in percent nonconformingand nmwcmformitiesper 100 items)
Pa 0,015 0,065 0,10 0,15 0,25 0,40 I 0,65 1,0 1,5 0,015 0,065 0,10 0,15 0,25 0,40 I 0,65 1,0 1,5
p (in percent nonconforming) p (in nonmnformities per 100 items)
89,0 0,00126 0,0186 0,0546 0,103 0,224 0,364 0,440 0,596 0,765 0,936 1,30 1,56 0,00126 0,0166 0,0645 0,103 0,223 0,363 0,436 0,5s6 0,762 0,935 1,29 1,57
S5,0 0,00641 0,0444 0,102 0,171 0,327 o,4ee 0,568 0,773 o,e54 1,16 1,56 1,67 0,00641 0,0444 0,102 0,171 0,327 0,496 0,567 0,771 0,961 1,16 1,56 1,66
80,0 0,0132 0,0665 0,136 0,216 0,3s4 0,563 0,660 0,879 1,06 1,29 1,71 2,04 0,0132 0,0665 0,136 0,216 0,394 0,582 0,679 0,678 1,06 1,29 1,71 2,03
75,0 0,0360 0,120 0,216 0,317 0,526 0,745 0,855 1,06 1,30 1,53 1,99 2,34 0,0360 0,120 0,216 0,31? 0,527 0,745 0,855 1,06 1,30 1,53 1,99 2,34
50,0 0,0666 0,210 0,334 0,459 0,706 0,956 1,06 1,33 1,56 1,63 2,33 2,71 0,0666 0,210 0,334 0,459 0,709 0,959 1,06 1,33 1,58 1,63 2,33 2,71
25,0 0,173 0,336 0,469 0,636 0,926 1,21 1,35 1,62 1,eo 2,17 2,71 3.11 0,173 0,337 0,4s0 0,639 0,926 1,21 1,35 1,63 1,s0 2,17 2,72 3,12
10,0 0,267 0,465 0,664 0,s33 1,16 1,47 1,62 1,92 2,21 2,51 3,08 3,51 o,26e 0,486 0,665 o,e35 1,16 1,47 1,62 1,93 2,22 2,52 3,09 3,52
5,0 0,374 0,592 0,766 0,866 1,31 1,64 1,60 2,11 2,42 2,72 3,32 3,76 0,374 0,593 0,767 o,e69 1,31 1,64 1,80 2,12 2,43 2,74 334 3,76
1,0 0,574 0,627 1,05 1,25 1,63 1,99 2,16 2,50 2,83 3,16 3,79 4,26 0,576 0,630 1,05 1,26 1,64 2,00 2,16 2,52 2,65 3,16 3,62 4,29
0,025 0,10 0,15 0,25 0,40
Acceptance Qualify Limit, tightened ins~ction (in percent nonconforming and nonconformities per 100 items)
NOTE Binomial distribution uaad for entries corresponding to inspection for nonconforming items, Poisson for inspection for number of nonconformities
.
-0
Table 1O-P-2 — Sampling plans for sample size code letter P
Type of Cumu-samp- Iative
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample r),r)lo 0,015 0,025 ~ 0,040 0,065 0,10 0,15 0,25 0,40 >< 0,65 ~ 1,0 ~ 1,5 >1,5
plan size Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re Ac Re AC Re AC Re AC Re
Single 800 u 01 12 23 34 56 76 89 10 11 *2 13 14 15 18 19 21 22 fl
Double 500 u * use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 fi
1000 code code code 12 34 45 67 9 10 10 t.1 12 13 15 16 18 19 23 24 26 27
letter letter letter
200 u ● N R Q #2 #2 #3 #4 04 04 05 06 17 18 29 fl
400 02 03 03 15 16 27 38 39 4 10 6 12 7 14
Wtiple 600 02 03 14 26 38 49 6 10 7 12 8 13 11 17 13 19
800 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
1000 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
<0,025 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 1,5 >1,5
Acceptance Quality Limit, tightened inspection (in percent nonconforming and nonconformities per 100 items)
t = use next precedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
u = use nextsubsequentsamplesize code letterforwhichacceptanceand rejectionnumbersare available
Ac = Acceptancenumber
Re = Rejectionnumber● = use singlesamplingplan above
# = acceptancenotpermittedat thissamplesize
-1a
QTable 1O-Q — Tables for sample size code letter Q (Individual plans)
Parantdfda Chart Q Operating characteristic curves for single sampling plans-fob (Curves for double and multiple sampfing are matched as closafy as practicable)
z (PJ
100
so
60
70
60
50
40
30
20
10
06
Quefity of submitted product in percent nonconforming or in nonconformifies per 100 itemsNOTE Valueson curvesara Acceptance Quality Limits (AQLs) for normal inspection.
Table 10G1 — Tabulated values for operating characteristic curves for single sampling plans
I Acceotanca QuafiN Limit, normal inar)action(in parcent nonconformingand nonconformitieaper 100 items) I
Pa 0,010 0,040 0,065 0,10 0,15 0,25 I 0.40 0,65 I 1,0
I P (in percent nonconforming), . .99,0 0,0008 0,0119 0,0349 0,0659 0,143 0,233 0,281 0,383 0,489 0,600 0,830 1,01
95,0 0,0041 0,0284 0,0654 0,109 0,209 0,319 0,376 0,494 0,616 0,741 0,996 1,19
80,0 0,00643 0,0426 0,0882“.0,140 0,252 0,373 0!435 ot562 0,693 0,625 1!10 1.30
75,0 0,0230 0,0769 0,138 0,203 0,33s 0,477 0,547 0,690 00834 0,980 I ,27 1,50
50,0 0,0554 0,134 0,214 0,284 0,453 0,613 0,693 0,853 1,01 1,17 1,49 1,73
25,0 0,111 0,215 0,313 0,408 0,593 0,774 0,863 1,04 1,22 1.39 1.74 l,ee, ,10,0 0.184 0,311 0,425 0,534 0,741 0,840 1,04 1,23 1,42 1,61 I 1,98 2,25
5,0 I 0,239 I 0,379 I 0,503 I 0,619 I 0,83911,05 I 1,15 I 1,35 I 1,55 I 1,75 I 2,13 I 2,41
1,0 0,366 0,530 0,671 O,aul 1,05 1,28 1!39 1,61 1,82 2,03 2,43 2,73
0,015 0,085 0,10. 0,15 0,25
0,010 0,040 0,065 0,10 I 0,15 0,25 0,40 0,65 I 1,0
0,CO08
0,00410
0,00843
0,0230
0,0555
0,111
0,184
0,240
0,368
0.015
0,0119
0,0284
0,0425
0,0769
0,134
0,215
0,311
0,360
0,531
0.065
p (innonconl
~
0°65410109I0209
0,214 0,294 0,454
0,504 0,620 0,841
mnities ger 1
I0,232 0,281
I0,316 0,376
0,372 I 0,435
I0,476 0,547
0,614 0,694
+
0,775 0,864
o#e42 1,04
1,05 I 1,15
*
1,26 1,39
~ 0,40
0 items)
0,3s2
0,494
0.562
0,690
0,653
1,04
0,488
0,615
0.692
0,834
1,01
1,22
1,23 1,42
1,36 1,56
*
1,61 1,83
0,65
0,596 I 0,626
0,740 0,995
+
0,824 1,08
0,979 1,27
1,17 1,49
1,39 1,74
1,61 I 1,98I1.75 2,14
+
2,04 2,45
~ 1,0!1,01
1,19
1,30
1,49
1,73
2,00
2,25
2,42
2,75
I Accaptanca Quafity Limit, tightenad inspection (in percent nonconformingand nonwrrformities par 100 items)I
NOTE Binomialdistributionusedfor entries correspcmfing to inspection for nonconforming items, Poisson for inspection for number of nonconfonnities.
. ..“
Table IO-Q-2 — Sampling plans for sample size code letter Q
-1
Type of Cumu-semp- Iative
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
ling sample 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 >1,0
plan size Ac Re Ac Re Ac Re Ac Ra Ac Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC Re AC f+e AC Re AC Re AC Re
Single 1250 01 12 23 34 56 76 89 10 11 12 13 14 15 18 19 21 22 fi
Double 800 use * use use use 02 03 13 25 36 47 59 6 10 7 11 9 14 11 16 fi
1600 code code coda code 12 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter letter
315 R *P s R
#2 #2 #3 #4 04 04 05 06 17 18 29 ff
630 02 03 03 15 16 27 36 39 4 10 6 12 7 14
Wuftiple 945 02 03 14 26 36 49 6 10 7 12 8 13 11 17 13 19
1260 02 13 25 47 59 6 11 9 12 11 15 12 17 16 22 20 25
1575 12 34 45 67 9 10 10 11 12 13 15 16 16 19 23 24 26 27
0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 1,0 >1,0
I AcceptanceQualityLimit,tightenedinspection (in percent nonconforming and nonconformities per 100 items)
lr = use next precedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
Ac = Acceptancenumber
Re = Rejectionnumber●
Q= use single sampling plan above
# . acceptance not permitted at this sample size
Y
. —.... .....
c ,,
..-T’ i’”” ,
i
w@
?55
x Table 1O-R— Tables for samp{e size code letter R (Individual plans) ON
Pueuddfots Chart R Operatingcharacteristiccurvesfor single samplingplans~urcog
~rnh (Curves for double and multiple sampling are matched es closely as practicable)usa-
- @’JL~
laadso-to..
N000
5
Quality of submitted pruduct in percent nonmnforming or in nonconformities par 100 itemsNOTE Valueson curvee are AcceptanceQuaMy Limits (AQLs) for normal inspection.
Table 1O-R-1 — Tabulated valuas for operating characteristic curves for singla sampling plans
Aooaptena Ouafii Limit, normal inspection (i percent nonconforrrungand nonconformities par 100 items)
0,025 0,040 0,066 0,10 I 0,15 ~ 0,25 ~ 0,40 ~ 0,66 0,025 0,040 0,065 0,10 I 0,15 ~ 0,25 ~ 0,40 ~ 0,65Pa
P
0,0s%
0,131
0,156
Q211
0,263
0,371
0,4s3
0,526
0,s54
wcant nonconformu1)
0,305
0,335
0,433
0,521
0,633
0.760
0,374
0,463
0.515 It0,516 0,630 0,00743
0,623 0,746 0,017S
0,664 0,S13 0,0266
m (in nonconformities per 100 items)
0,176
0,236
0,272
0,342
0,433
0,540
0,649
0,721
0.s6s
93,0
%,0
90,0
#
D,00743 0,0216 0,041:
0,0176 0,0403 0,06X
0,02SS 0,0661 O,osx
0,04S1 0,0S64 0,127
0,063s 0,134 0.164
0,136 0,1s6 0,255
0,1s4 0,266 0.334
0,237 0,314 0,367
0,331 0,420 0,501
0,145
0,1ss
0,233
0,239
0,309
0.361
+
0,0216 0,0412
0,0409 0,0662
0,0551 0,0672
0,0S64 0,127
0,134 0,164
0,196 0,255
0,0693
0,131
0,156
0,145 0,175 0,239 0,305
0,199 0,235 0,306 0,364
0,233 0,272 0,351 0,432
0,374
0,462
0,515
0,612
0,733
0,670
1,01
1,09
1,27
R
0,517
0,622
0,664
0,629
0,745
0,812
75,0
50,0
26,0
0,296
0,3s3
0,4s4
0,431
0,633
0.650
0,612
0,733
0,s69
0,796 I 0,935 I 0,0461 0,211
0,264
0,371
o,2e6 0,342 0,431 0,521
0,363 0,433 0,533 0,633
0,484 0,540 0,651 0,761
o,7e6
0,933
1,09
0,934
1,06
1,25II0,933 1,06 0,0639
1,09 I 1,25 j 0,135
10,0
5,0
1,0
0,5s6
0,s56
0,79s
F
0,769
0,647
%
0,666
0,970
1,14
1,bo
1,09
1,27
1,24 I 1,41 I 0,194 0,266 0,334
0,315 0,3S6
0,420 0,502
0,464
0,526
0,655
0,15 4440,569 0,650 0,770 0,SS9
0,657 0,722 0,646 0,972
0,600 0,s70 1,01 1,14
~ 0’25 ~ 0,40
1,24
1,33
1,53
0,65
1,41
1,51
1,72
E
1,33I 1,51I
0,237
0,040 0,066 0,10 0,15 0,25 x0,40
Atxs@snce QuaIii Limit, tightened ins-ion (in percent nonconforming and nonconformifies par 100 items)
~~ ein~ial dstrfbutiofl used fOr erstrfescorraspomdingto inspection for nonconforming iteme, poisson for inspection for number of nonconformities
Table 1O-R-2 — Sampling pians for sample size code ietter R
Type of Cumu-samp- lative
Acceptance Quality Limit, normal inspection (in percent nonconforming and nonconformities per 100 items)
Iing sample 0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 >0,65plan size Ac Re Ac Re Ac Re Ac Re Ac Re AC Re AC Fte AC F@ AC Re AC Re AC Re AC Re Ac Re ~c Re Ac Re Ac R~
Single 2000 01 1 2 23 34 56 78 89 10 11 12 13 14 15 18 19 21 22 fl
Double 1250 * use use use 02 03 1 3 25 36 47 5 9 6 10 7 11 9 14 11 16 fl
2500 code code code 1 2 34 45 67 9 10 10 11 12 13 15 16 18 19 23 24 26 27
letter letter letter
500 ●
Q P s #2 #2 #3 # 4 04 04 0 5 06 17 1 8 29 lr
1000 02 03 03 15 1 6 27 38 39 4 10 6 12 7 14
Muftiple 1500 02 03 1 4 26 38 49 6 10 7 12 8 13 11 17 13 19
2000 02 13 25 47 5 9 6 11 9 12 11 15 12 17 16 22 20 25
2500 1 2 34 45 67 9 10 10 11 12 13 15 18 18 19 23 24 26 27
0,010 0,015 0,025 0,040 0,065 0,10 0,15 0,25 0,40 0,65 >0,65
I AcceptanceQualityLimit,tightenedinspection(in percentnonconformingand nonconformitiesper 100 items)
1? = use next precedingsamplesize code letterforwhichacceptanceand rejectionnumbersare available
Ac = Acceptancenumber
Re = Rejetilon number● = use single sampling ptan above
# = acceptancenotpermittedat thissamplesize
IS 2500( Paft 1 ): 2000ISO 2859-1:1999
Table 10-S — Tables for sample size code letter S (Individual plans)
Psrcanroflora Chart S Operating characteristic curves for singie sampiing pianespcrad to be (Cuwes for double and multiple sampfing are matched as closely as practicable)-a (PJ
100
so
60
70
60
50
40
30
20
10
00,02 0,04 0,06 0,0s 0,10 0,12 0,14 0,16 0,16 0,20
Quality of submitted product in percent nonconforming or in nonconformities per 100 itemsNOTE Value on curve are Acceptance Quality Limit (AQL) for tightened inspection.
Table 10-S-1— Tebulatacfvaluesfor operatingcharacteristiccurvefor singlesamplingplan
Acceptance Quality Limt noms! inspection(inpsrcant nonconformingand nonconforrnifiaaper
100 items)
Pa p (in percent p (in nonconfonnitiaaparnonconformima) 100 items)
99,0 0,00472 0,00472
95,0 0,0113 0,0113
eo,o 0,0169 0,0169
75,0 0,0305 0,0305
50,0 0,0533 0,0533
25,0 0,0655 0,0655
10,0 0,123 0,123
5,0 0,151 0,151
1,0 0,211 0,211
0,025 0,025
Acceptance Qualii Limit, tightened inspecth (inpercent nonconformingand noncenformifisaper
100 itame)
Table 10-S-2 — Sampling plsns for sample aiza code letter S
Type ofsampling plan
6ingle
Oouble
Muftipfe
3150 1 2
I
.2 mI
o 2
4000 1 2
1600 I o 2
2400 10232W 102
*I end nonconformitieeper 100 items)
Ac = Accepterw4 numbarRe = Rejection number
# = acceptance not parmfi~ at ~S -e ei~e
NOTE Sinordal Mrfbutii used for entries~ng to in- for nonconformingitems, Poissonfor inspection for numbar of nwwonfomdtias.
s80
. .-.=- :- .-.-7%+. *- .*- ;–
Table 11-A — Single sampling plans for normal inspection (Auxiliary master table)
f
3emple
size SamplIcode eizeletter
A 2
B 3
C5
D 8
Acceptance quality limit, AQL, in percent nonconforming items and nonconformities per 100 items(normalinspection)—0,01—AcR
—0,15—
\c Re
0,65 T1,0 1,5
Ac Re Ac Re
2,5
Ac Re
4,0 6,5 25
—40
—D,oll—
4cR
10
AcRe
1/3
1/2
12
23
34
56
loot),02 O,w 0,1( 0,4( 65 100
Ac Re
150 260 400 66015
kcR\c R tc R Ac R ic R Ac RI Ac Re Ac R, 4CR 4CRe 4C R LCR 4CRI LCR
Q!.----01
01 1/3
1/3 w
112 12
12 23
23 34
34 56
56 78
78 10 1“
v)1
,, -
,, -
v
)1—
1/3
w
12
1-.-.-.01
W3
(,-,-)1—
113
w
12—
!3
14
i6
I-,01
1/3
I--01
n01—
1/3
w
12
v01
w
112
12
23
01
1/3
112—
12
23
34
1/2
1
2
12
23
34—
56
78
10 11
2:
3,
5(—
7(
10 1
14 1
34
5(
7{
56
78
10 11
14 15
21 22
A. -
- -
. -
. -
7f
10 1
14 1
01
41
12
!1 2
103
44
103’
14 4!
A
01
41
!1 2
!1 2
103
A
03
44
A
.
4 4!
6
. -
.4 .
, .
, .
E 13
F 20
G 32
H w
J so
K 125
L 200
M 315
N 500
P aoo
Q 1250
R 2000
76
10 11
14 15
21 22
I
--
--
)’
1/3
112
1/3
1/2
12—
23
34
56—
78
10 11
14 1!—
?1 22—
23
34
56—
70
10 1’
14 1!
34
56
78
10 11
14 15
21 22
5e
78
10 1—
14 1!
21 z
1—
10 1
14 1
!1 2
DI
113
1/2
4
10 11 14 1!
14 15 21 z
21 22
4 t
12
23
34
)1
1/3
1/2
m
12
23
34
5(
7e
21 z
v--—1/3 m—
2 !3—
34 56 ‘6—
101 4 1!
~= Use the firstsamplingplan belowthe arrow.If samplesize equals,or exceeds,lotsize, carryout 100% inspection
6= usethe firstsamplingplan abovethe arrow.
Ac = Acceptancenumber
Re = Rejectionnumber
.—
SempksizeCudeIener
A
B
c
D
E
F
G
H
J
K
L
M
N
P
Q
R
klrnpl
tie
2
3
5
8
13
20
32
50
so
125
200
315
Soo
SW
1250
2000
Table 11-B — Single sampling plans for tightened inspection (Auxiliary master table)
—0,01—Ac R—
—0,01!—Ac RI—
.
D1—113
—
.
.
.
.
Acceptancequality limit, AQL, in percentnonconformingitemsand nonconformitiesper 100 items (tightened inspection)
+
0,040 0.06
kcRe Ac R
—0,1(—
4CR—
/
)1
In—
1/2
1:
!
—
14—
—0,15—
JCR—
/
.-
.-
—
)1
1/3
112—
12
Z3
54—
j6—
0,25
k Re
I-.--31—
1/3
112
12
23
34
56
39—
0,40
ACRe
I01
V3—
w
12
23—
34
56
09
2 13—
0,s6
AcRe
1--01
113
1/2
12
23
34
56
89
12 13
18 19
—1,0
—k? R—
/
01—
1/3
112
12—
2:
34
5[—
6$
12 1<
18 1!
F—
—1,5
—
\c Re—
!
)1
1/3—
1/2
12
?3—
34
j6
19—
2 13
8 19
1-—
32,5 4,0 6,5
Ac Re Ac Re Ac Re
!J
v01
01 1/3
011/31/2
m 112 12
112 12 23
12 23 34
23 34 56
34 56 e9
56 S9 12 13
89 12 13 16 19
12 13 18 19-,
Ie 19
vJ-[.--!
10
01
113
1/2
12
23
34
16 1!
I
-.
-.
15
113
IL?
12—
23
34
56—
S9
12 12
Ie IS.
.
25 40
Ac Re Ac R
1/2 1:
12 2:
23 3,
34 5(
56 8!
89 12 1
12 13 16 1
16 19
[ 1
-. .-.
--- .-.
- . . -.
V= Uee the firstsampfirtgplan belowthe arrow. If sampleeize equals,or exceeds,lotsize, carryout 100% inspection.
*= Usethefiret=wling plan above the arrow.
Ac = Acceptancenumber
Re = Rejectionnumber
—65
—
\c R—
2:
3,
5(—
B!
21
61—
/—
100
{C Re
34
56
S9
12 1:
G 1$
A.. -
. . -
.. .
.. -
—1s0—
4CR—
5(
6$
12 1—
16 1
?7 2
A- ,,
- ..
- ..
. ,,
—
—400—
\c R(—
2 1:
s 1!
!7 21—
11 4
—
650 10LM
\c Re Ac RI
16 19 27 2/
!7 2s 41 4;
II 42
A
. .-
- .-
..- —.—-------.-—----.-—.
Table 11-C — Single sampling plans for reduced inspection (Auxiliary master table)
Iuality limit, AQL, in percent nonconforming items and nonconformities per 100 items (reduced inspection)AcceptancSampl
size
code
Ietier
A
B
c
—100—
Ac R—
5(
5(
6;—
8!
10 1
—10
—15
—25
— —15(
—
Ac F—
7
7
8—
!0
14
A
-,
.
.
—
—65(
—
Ac F—
21 :
?1 :
?1 :—
A
d—
—3,06!
;ampsize
—
2
2
2
4(—
Ac I
25(—
4CP
4000,2 0,4(—
\c R—
I
0,65
Ac R(—
/
--
01
1,0—Ac RI—
I
-.
01
115
1,5 I 2,5 4,0 6,53,01 0,01’ ),02 ),04 O,lc—
4CR
—Ac RLCR 4C R
—
I
o’
1/5—
113
1/2
1:
Ac Rel Ac R@ Ac RC
T
01
115
Ac F Ac R 4C F ACR Ac I4CF Ac RI
r
. -
- .
. -
- -
v
01
115
ic R \c R
rn01
-1
. -
vII
-!
. .-
- .-
. .-
ti
11
115
0
1/5
1/2
1/3
113
1/2
112
112
1
1:
1:
2:
2
2
3
3
3
4
10 1
10 1
10 1
14 1
14 1
14 1—
01 115
1/5 113
1/3 1/2
1/3
112
12
23
34
45
112
1
2
12
23
34
45
67
89
2
3
4
!3,
4:
6;
4
6
8
6
6
10
‘4 1!
!1 2
A
D
E
F
3
5
8
10 1
I
G
H
J
K
L
M
13
60
32—
50
so
125
)1
1/5
113—
112
2
3
1/s
1/3
112—
12
?3
34
1/3
1/2
12—
23
34
45—
57
39
0 11
T—
1/2 12
12 2 3’
23 34
34
45
67
89
10 1“
f
3445’
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6789
391011
011d--)1
1/5
Its
1/5
1/3
1/2
6$
10 1
[
10 11
0
--
--
N
P
Q
200
315
600
1
1/5
1/3
1/5
1/3
lt2
113
112
2—
!3
1/2
!2
!3
2
3
4
4
5
7.
9
$5
57
19—
0 11—
II—
R SW 115 1/2 2—
14—
5—
~ = Use the first sampling plan below the arrow. If sample size equals, or exceeds, lot size, carry out 100% inspection.
~ = Use the first sampling plan above the arrow.
Ac = Acceptance number
Re = Rejection number Mo00
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IS 2500( Paft 1 ) :2000ISO 2859-1:1999
Annex A(informative)
Example for non-constant sampling plan
Lot Lot Sample Sample Given Acceptance Applic- Nonccm- Accept- Acceptance switching Future action
umber size size size Ac score sble forming ebility score score
N coda n (before Ac items (after
latter inspection) d inspection)
1 180 G 32 1/2 5 0 0 A 5 2 Continue normal
2 200 G 32 1/2 10 1 1 A o 4 Crmtinue normal
3 250 G 32 1/2 5 0 1 R o 0 Continue normal
4 450 H 50 1 7 1 1 A o 2 Continue normal
5 300 H 50 1 7 1 1 A o 4 Continue normal
6 80 E 13 0 0 0 1 R o 0 Switchlo tightenad
7 800 J 80 1 7 1 1 A o — Continue tightened
8 300 H 50 112 5 0 0 A 5 — Continue tightened
9 100 F 20 0 5 0 0 A 5 — Continue tightenad
10 600 J 80 1 12 1 0 A 12 — Continue tightened
11 200 G 32 113 15 1 1 A O* — Restore normal
12 250 G 32 112 5 0 0 A 5 2 Continue normal
13 600 J 80 2 12 2 1 A o 5 Continue normsl
14 80 E 13 0 0 0 0 A o 7 Con?inue normal
15 200 G 32 1/2 5 0 0 A 5 9 Continue normal
16 500 H 50 1 12 1 0 A 12 11 Continue normal
17 100 F 20 1/3 15 1 0 A 15 13 Continue normal
18 120 F 20 1/3 18 1 0 A 18 15 Continue normal
19 85 E 13 0 18 0 0 A 18 17 Continue normal
20 300 H 50 1 25 1 1 A o 19 Continue normal
2i 500 H 50 1 7 1 0 A 7 21 Continue normal
22 700 J 80 2 14 2 1 A o 24 Continue normal
23 600 J 80 2 7 2 0 A 7 27 Continue normal
24 550 J 80 2 14 2 0 A 0“ 30 Switch to raduced
25 400 H 20 112 5 0 0 A 5 — Continue reduced
NOTES: A = acceptable R = not acceptable
● denotes the acceptance score after switching
IS 2500( Part 1 ) :2000ISO 2859-1:1999
Bibliography
[1] ISO 2859-0:1995, Sarnp/ing procedures for inspection by attributes — Part O: Introduction to the ISO 2859attribute sarnp/ing system.
[2] ISO 2859-2:1985, Samp/ing procedures for inspection by attributes — Part 2: Sampling plans indexed bylimiting quality (LQ) for isolated lot inspection.
[3] ISO 3951, Sampling procedures and charts for inspection by variables for percent nonconforming.
[4] ISO 8402, Quality management and qua/ity assurance — Vocabu/aty.
87
1
(Continued from second cover)
!n this adopted standard, normative reference has also beenStandards for which there exist Indian Standards (given below) :
ISO Standard Indian Standard
1s0 3534-1:1993 IS 7920 (Part 1) :1994
ISO 3534-2:1993 IS 7920 (Part 2) :1994
made to the following International
Degree of Equivalence
Not Equivalent
do
The technical committee responsible for the preparation of this standard has reviewed the provisions ofthe above referred Indian Standards, and has”decided that they are acceptable for use in conjunction withthis adopted standard.
Annex A of this standard is for information only.
This Indian Standard (IS 2500) is in three parts. The other two parts are:
IS 2500 (Part 2):1965 Sampling inspection procedures : Part 2 Inspection by variables for percent
defective
IS 2500 (Part 3):1995 Sampling inspection procedures : Part 3 Sampling plans indexed by limiting
ISO 2859-2:1985 quality (LQ) for isolated lot inspection
.*
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This Indian Standard has been developed from Doc : No. MSD 3 (194).
Amendments Issued Since Publication
Amend No. Date of Issue Text Affected
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