UNIVERSITY OF TECHNOLOGY, JAMAICA SCHOOL OF BUSINESS

ADMINISTRATION

MID-TERM TEST

DATE: MARCH 2013 DURATION: 1 Hr. 15 MNS.

GROUPS: BBA3/PBBA3 POM

MODULE: TOTAL QUALITY MANAGEMENT MODULE CODE: MAN3013

FORMULA SHEET(FINAL EXAMINATION)

Table C Factors for determining from R. the 3-sigma control limits for X and R charts

Number of

observations in

subgroup

n

Factor for X Chart

A2

Factors for R Chart

Lower control limit

D3

Upper control limit

D4

2 1.88 0 3.27

3 1.02 0 2.57

4 0.73 0 2.28

5 0.58 0 2.11

6 0.48 0 2

7 0.42 0.08 1.92

8 0.37 0.14 1.86

9 0.34 0.18 1.82

10 0.31 0.22 1.78

11 0:29 0.26 1.74

12 0.27 0.28 1.72

13 0.25 0.31 1.69

14 0.24 0.33 1.67

15 0.22 0.35 1.65

16 0.21 0.36 1.64

17 0.2 0.38 1.62

18 0.19 0.39 1.61

19 0.19 0.4 1.6

20 0.18 0.41 1. 59

N= no.of subgroups

Upper Control Limit for X = X-BAR+A2*R-BAR

Lower Control Limit For X= X-BAR-A2*R-BAR

Upper Control Limit for R= R-BAR+ D4*R-BAR

Lower Control Limit for R= R-BAR+D3*R-BAR

Process Capability

CP= USL-LSL/6 *SIGMA

CPkl= X-BAR-LSL/3*SIGMA

CPku=USL-X BAR/3*SIGMA