chapter 1-3 review problems 2016 · pdf filechapter 1-3 review problems 2016 ... choose the...

Chapter 1-3 Review problems 2016

Name___________________________________Approximately 15-20similar mulitple choice problems will be selected from this packet. Please be sure that you know how to dothese problems . Calculators can be used with both the review sheet and the exam. Thank you.MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Identify the W's for the description of data.1) In 2004, a soft drink company trying to find ways to boost sales over their competitors compiled

these data about consumers: age, weekly consumption, diet vs. regular preference, cola vs non-colapreference, and geographical location.

1)

A) Who: Consumers; Cases: Each consumer is a case; What: Age; When: 2004; Where: Notspecified; Why: To find ways to boost sales.

B) Who: Soft drink companies; Cases: Each company is a case; What: Age, weekly consumption,diet vs. regular preference, cola vs. non-cola preference, and geographical location; When:2004; Where: Not specified; Why: To find ways to boost sales.

C) Who: Consumers; Cases: Each consumer is a case; What: Age, weekly consumption, andgeographical location; When: 2004; Where: Not specified; Why: To develop new products.

D) Who: Consumers; Cases: Each consumer is a case; What: Age, weekly consumption, diet vs.regular preference, cola vs. non-cola preference, and geographical location; When: 2004;Where: Not specified; Why: To find ways to boost sales.

E) Who: Soft drink companies; Cases: Each company is a case; What: Age, weekly consumption,diet vs. regular preference, cola vs. non-cola preference, and geographical location; When:June, 2004; Where: United States; Why: To find ways to boost sales.

2) The students at Westmore College are concerned about rising costs at their college. They surveyed800 college students at 10 surrounding colleges and recorded the following data: quarterly tuition,quarterly fees (library, computer lab, etc.), quarterly book cost, and quarterly room and board cost.

2)

A) Who: 800 college students; Cases: Each college is a separate case; What: quarterly tuition,fees, book cost, and room and board; When: Not specified; Where: Europe; Why: Want todecide whether to attend a different college; How: Surveyed students.

B) Who: 800 college students; Cases: Each student is a separate case; What: quarterly tuition,fees, book cost, and room and board; When: Every year; Where: Canada; Why: Concernedabout rising costs at their own college; How: Surveyed students.

C) Who: Westmore students; Cases: Each student is a separate case; What: quarterly tuition,fees, book cost, and room and board; When: 2000; Where: 10 surrounding colleges; Why:Concerned about rising costs at their own college; How: Telephoned each student and askedfor the information.

D) Who: 800 college students; Cases: Each student is a separate case; What: quarterly tuition,fees, book cost, and room and board; When: Not specified; Where: 10 surrounding colleges;Why: Concerned about rising costs at their own college; How: Surveyed students.

E) Who: Westmore College; Cases: Each student is a separate case; What: quarterly tuition;When: Not specified; Where: 10 surrounding colleges; Why: Concerned about rising costs attheir own college; How: Surveyed students.

1

Name the variables in each description of data, then tell whether they are quantitative or categorical. For eachquantitative variable name its unit of measure.

3) A California hospital concerned about the rising number of low birth weight babies collected datafrom 300 births over a five year time span. The recorded the mother's age, the mother'sprepregnancy weight, the level of prenatal care (none, minimal, adequate), and whether the motherused drugs during pregnancy (cigarettes, alcohol, etc.).

3)

A) Mother's age, quantitative, years; mother's prepregnancy weight, quantitative, pounds; levelof prenatal care, categorical.

B) Mother's age, quantitative, years; mother's prepregnancy weight, quantitative, pounds.C) Mother's age, quantitative, years; mother's prepregnancy weight, quantitative, pounds; level

of prenatal care, categorical; mother's drug use, quantitative, weeks.D) Mother's age, quantitative, years; mother's prepregnancy weight, quantitative, pounds; level

of prenatal care, categorical; mother's drug use, categorical.E) Mother's age, quantitative, years; mother's prepregnancy weight, categorical; level of

prenatal care, categorical; mother's drug use, categorical.

4) A study on the spending habits of 100 middle income families in California recorded the followingdata: monthly mortgage bill, monthly utilities bill, monthly food and gas bills, money spentmonthly on entertainment, and monthly miscellaneous bills.

4)

A) Monthly mortgage bill, quantitative, dollars; monthly utilities bill, quantitative, dollars;monthly food and gas bill, quantitative, dollars.

B) Monthly mortgage bill, quantitative, dollars; monthly utilities bill, quantitative, dollars;monthly food and gas bill, quantitative, dollars; money spent on entertainment, quantitative,dollars; miscellaneous bills, quantitative, dollars.

C) Monthly mortgage bill, quantitative, money; monthly utilities bill, quantitative, dollars;monthly food and gas bill, quantitative, dollars; money spent on entertainment, categorical;miscellaneous bills, quantitative, dollars; families, categorical.

D) Monthly mortgage bill, quantitative, dollars; monthly food and gas bill, quantitative, dollars;money spent on entertainment, categorical; miscellaneous bills, quantitative, dollars.

E) Monthly mortgage bill, quantitative, dollars; monthly utilities bill, quantitative, dollars;monthly food and gas bill, categorical; money spent on entertainment, quantitative, dollars;miscellaneous bills, categorical.

5) A study of state-required high school exit exams listed the states and whether or not they requirean exit exam. For states that did, the study indicated the name of the exam, the number of times peryear the student could take the exam, and the graduation rate.

5)

A) Name of the exam, categorical; number of times allowed to take exam, quantitative, times peryear; graduation rate, quantitative, percent.

B) State, categorical; whether the exam required, comparative; name of the exam, categorical;number of times allowed to take exam, quantitative, times per year; graduation rate,quantitative, percent.

C) Whether the exam required, categorical; name of the exam, categorical; number of timesallowed to take exam, quantitative, times per year; .

D) State, categorical; whether the exam required, quantitative, yes; name of the exam,categorical; number of times allowed to take exam, comparative; graduation rate,quantitative, percent.

E) State, quantitative, state; whether the exam required, categorical; name of the exam,categorical; number of times allowed to take exam, quantitative, times per year; graduationrate, categorical.

2

Classify the variable as categorical or quantitative.6) The number of people on a jury 6)

A) Quantitative B) Categorical

7) The verdict of a jury 7)A) Quantitative B) Categorical

8) The color of your house 8)A) Quantitative B) Categorical

9) A monthly electric bill in dollars 9)A) Categorical B) Quantitative

Provide an appropriate response.10) School administrators collect data on students attending the school. Which of the following

variables is quantitative?10)

A) whether the student has taken the SATB) class (freshman, soph., junior, senior)C) grade point averageD) whether the student is in AP classesE) none of these

11) The SPCA collects the following data about the dogs they house. Which is categorical? 11)A) veterinary costsB) number of days housedC) breedD) ageE) weight

12) We collect these data from 50 male students. Which variable is categorical? 12)A) number of cigarettes smoked dailyB) eye colorC) hours of homework last weekD) number of TV sets at homeE) head circumference

13) A magazine article reported on Springfield School District's magnet school programs. Of the 1470qualified applicants, 798 were accepted, 252 were wait-listed, and 420 were turned away for lackof space. Find the relative frequency distribution of the decisions made, and write a sentencedescribing it.

13)

A) 1470 students applied for admission to the magnet schools program. 54% were accepted, and46% were turned away.

B) 1470 students applied for admission to the magnet schools program. 71% were accepted, and29% were turned away.

C) 1470 students applied for admission to the magnet schools program. 54% were accepted, 17%were wait-listed, and 29% were turned away.

D) 1470 students applied for admission to the magnet schools program. 54% were accepted, 32%were wait-listed, and 53% were turned away.

E) 1470 students applied for admission to the magnet schools program. 54% were accepted, 32%were wait-listed, and 29% were turned away.

3

14) The Centers for Disease Control lists causes of death for individual states in 2002. The mortalitydata for one state is given.

Cause of Death PercentHeart Disease 28.1Cancer 23.1Circulatory diseases and stroke 7.4Respiratory diseases 5.2Accidents 4.7

Is it reasonable to conclude that, in this state, cancer or respiratory diseases were the cause ofapproximately 28% of deaths in 2002?

14)

A) No, because the percentages in relative frequencies tables can never be added.B) Yes, because these categories do not overlap.C) No, because the percentages do not add up to 100%.D) Yes, because the percentages can always be added in relative frequency tables.E) No, because these categories overlap.



In this state, what percent of deaths were from causes not listed here?

15)

A) 29.3%B) 70.7%C) 58.9%D) 33.7%E) The percent cannot be determined from the given percentages because the categories overlap.

4

16) A local park district is planning to build a recreation center. The park district conducted a poll tofind out the types of physical activities the local population would be interested in. The poll wasbased on telephone responses from 1013 randomly selected adults. The table shows the percentagesof people who expressed interest in various activities.

Activity PercentRunning/Walking 56Weight Training 47Biking 39Aerobics 24Swimming 16

Is it reasonable to conclude that 63% expressed interest in either biking or aerobics?

16)

A) No, because the poll is not based on a large-enough number of individuals.B) Yes, because these categories do not overlap.C) No, because these categories overlap.D) No, because the percentages in relative frequencies tables can never be added.E) Yes, because the percentages can always be added in relative frequency tables.

17) A newspaper surveyed its subscribers as to which section of the paper they read first. The resultsare listed below.

Section PercentFront page 18.3Sports 25.2Business 13.9Comics 22.1Horoscope 13.8

What percent of subscribers read a section of the paper not listed above first?

17)

A) 4.2%B) 7.8%C) 6.7%D) 5.7%E) The percent cannot be determined from the given percentages because the categories overlap.



Which of the following displays is/are appropriate for these data? (More than one display may beappropriate.)

I II

18)

5

III

A) I, II, IIIB) II, IIIC) ID) I, IIE) None of these displays are appropriate.




I II

19)

6

III

A) I, IIB) IC) I, II, IIID) IIE) None of these displays are appropriate.




I II

20)

7

III

A) I, II, IIIB) IC) IID) I, IIE) None of these displays are appropriate.




21)

8

I

II

III

A) I, II, III

9

B) IIIC) II, IIID) IIE) None of these displays are appropriate.

22) A prediction of the number of medals to be won by various countries in the 2010 Winter Olympicswas made using past Olympics data. The predicted values are listed in the table below.Country MedalsGermany 36USA 35Norway 28Canada 24Austria 16Russia 16Italy 15France 15SwitzerlandChina

157

Country MedalsNetherlands 5Finland 4Sweden 4Korea 3Bulgaria 3Great Britain 2Australia 2Japan 2PolandSpain

11

Which of the following displays is the most appropriate for these data?I

II III

22)

A) IB) IIC) III

10

D) All of these displays are equally appropriate.E) None of these displays are appropriate.

23) Students in a Political Science course were asked to describe their politics as "Liberal", "Moderate",or "Conservative." Here are the results:

Politics

Liberal Moderate Conservative Total Female Male

4564

4953

1225

106142

Total 109 102 37 248

Which graphical display shows the conditional distribution of politics among the females?

I II

III

23)

A) IIB) II, IIIC) IIID) IE) None of these displays show the conditional distribution of politics among the females.

11

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Create the requested display for the data.24) The Centers for Disease Control lists causes of death for individual states in 2002. The

mortality data for one state is given.


Create a bar chart for these data.

24)

25) The Centers for Disease Control lists causes of death for individual states in 2002. Themortality data for one state is given.


Create a segmented bar chart for these data.

25)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response. Round to the nearest tenth of a percent if necessary.26) Students in a political science course were asked to describe their politics as "Liberal", "Moderate",

or "Conservative." Here are the results:Politics


2853

3141

1120

70114

Total 81 72 31 184

What percent of the class considers themselves to be "Liberal"?

26)

A) 44% B) 15.2% C) 40% D) 28.8% E) 78.6%

27) Students in a political science course were asked to describe their politics as "Liberal", "Moderate",or "Conservative." Here are the results:

Politics


4352

3655

618

85125

Total 95 91 24 210

What percent of the females in the class consider themselves to be "Liberal"?

27)

A) 42.4% B) 45.3% C) 50.6% D) 41.6% E) 45.2%

12


Politics


3446

4449

618

84113

Total 80 93 24 197

What percent of all males in the class are "Liberals"?

28)

A) 23.4% B) 40.7% C) 40.5% D) 40.6% E) 57.5%


Politics


3744

2739

1423

78106

Total 81 66 37 184

What percent of all students in the class are males who consider themselves to be "Liberal"?

29)

A) 44% B) 41.5% C) 20.1% D) 23.9% E) 54.3%


Politics


4536

3739

1221

9496

Total 81 76 33 190

What percent of all "Moderates" in the class are male?

30)

A) 20.5% B) 40.6% C) 40% D) 48.7% E) 51.3%

31) Just how accurate are the weather forecasts we hear every day? The table below compares the dailyforecast with a city's actual weather for a year.

Actual Weather

Rain No rain Rain 23 53 No rain 7 282

On what percent of days did it actually rain?

31)

A) 20.8% B) 6.3% C) 76.7% D) 1.9% E) 8.2%

13


Actual Weather


On what percent of days was rain predicted?

32)

A) 14.2% B) 9.6% C) 33.3% D) 7.1% E) 21.4%


Actual Weather


What percent of the time was the forecast correct?

33)

A) 7.4% B) 18.9% C) 76.4% D) 73.7% E) 81.1%

34) A survey of autos parked in student and staff lots at a large university classified the brands bycountry of origin, as seen in the table.

Driver

Student Staff American 108 85 European 38 22 Asian 69 58

What percent of all the cars surveyed were foreign?

34)

A) 49.2% B) 33.4% C) 21.1% D) 15.8% E) 28.2%


Driver


What percent of the American cars were owned by staff?

35)

A) 113.6% B) 24.5% C) 53.2% D) 53.5% E) 46.5%

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Driver


What percent of the foreign cars were owned by students?

36)

A) 27% B) 58.2% C) 33.9% D) 24.2% E) 41.8%

37) Most patients who undergo surgery make routine recoveries and are discharged as planned, butsome patients experience complications and their discharge is delayed. Jamestown has a largehospital and a small hospital, each performing major and minor surgeries. Data is collected at eachhospital to see how many surgical patients have their discharges delayed by postsurgicalcomplications. The results are shown in the following table.

Discharge Delayed

Large hospital Small hospital Major surgery 120 of 800 10 of 40 Minor surgery 15 of 300 30 of 300

What were the discharge delay rates for each kind of surgery?

37)

A) Major surgery: 12.2%Minor surgery: 12.2%

B) Major surgery: 40%Minor surgery: 15%

C) Major surgery: 15.5%Minor surgery: 7.5%

D) Major surgery: 12.3%Minor surgery: 11.8%

E) Major surgery: 9%Minor surgery: 3.1%

Provide an appropriate response. Round to the nearest percent if necessary.38) A survey of autos parked in student and staff lots at a large university classified the brands by

country of origin, as seen in the table.Driver


What is the marginal distribution of origin?

38)

A) 50% American, 16% European, 35% AsianB) 98% American, 19% European, 53% AsianC) 55% Students, 45% StaffD) 49% American, 18% European, 33% AsianE) 50% American, 13% European, 37% Asian

15


Driver


What is the conditional distribution of origin for staff?

39)

A) 52% American, 16% European, 31% AsianB) 24% American, 6% European, 14% AsianC) 29% American, 11% European, 17% AsianD) 54% American, 13% European, 33% AsianE) 51% American, 19% European, 30% Asian

40) A company held a blood pressure screening clinic for its employees. The results are summarized inthe table below by age group and blood pressure level.

Age

Under 30 30-49 Over 50 Low 27 38 31 Normal 48 90 92 High 23 59 72

Find the marginal distribution of blood pressure level.

40)

A) 28% low, 49% normal, 23% highB) 20% under 30, 39% between 30-49, 41% over 50C) 25% low, 92% normal, 47% highD) 20% low, 39% normal, 41% highE) 20% low, 48% normal, 32% high


Age


Find the conditional distribution of blood pressure level for employees under 30.

41)

A) 16% low, 50% normal, 34% highB) 21% low, 49% normal, 29% highC) 24% low, 49% normal, 27% highD) 6% low, 11% normal, 5% highE) 26% low, 50% normal, 24% high

16


Age


Find the conditional distribution of blood pressure level for employees between 30 and 49.

42)

A) 21% low, 49% normal, 30% highB) 18% low, 47% normal, 35% highC) 8% low, 19% normal, 12% highD) 27% low, 48% normal, 25% highE) 21% low, 48% normal, 31% high

Provide an appropriate response.43) Students in a political science course were asked to describe their politics as "Liberal", "Moderate",

or "Conservative." The results are listed in the table below, and a graphical display of theconditional distributions of sex among the three categories of politics is given.

Politics


4564

4953

829

102146

Total 109 102 37 248

The political science instructor states that sex and politics are independent. Is this an accuratestatement? Explain.

43)

A) No. The percentage of males and females varies across political categories. The percentage ofLiberals and Moderates who are female is approximately twice that of Conservatives who arefemale. This would suggest that sex and politics are not independent.

B) No. The percentage of males and females is similar across political categories. This wouldsuggest that sex and politics are not independent.

C) Yes. The percentage of males and females varies across political categories; however, there aremore males in the class than females. There is not enough evidence to make an associationbetween sex and politics. Sex and politics are independent.

17

D) No. The percentage of males and females varies across political categories. The percentage ofLiberals and Moderates who are male is approximately twice that of Conservatives who aremale. This would suggest that sex and politics are not independent.

E) Yes. The percentage of males and females is similar across political categories. This wouldsuggest that sex and politics are independent.

44) At a local university, the incoming freshman were surveyed about their chosen majors. Theuniversity organized the data by placing the majors into the appropriate colleges. The tabledisplays the results for males and females by colleges. A graphical display of the conditionaldistributions of colleges by gender is given.

Gender

Male Female College of Liberal Arts and Sciences 1809 1918 College of Business 905 804 College of Education 312 247 College of Visual and Performing Arts 94 124

Do you think that the college the freshmen will be entering is independent of the gender of thestudent? Explain.

44)

A) Yes. The conditional distributions of colleges by gender are similar. Since the distributions ofcolleges is essentially the same for males and females, there is evidence of an associationbetween gender and colleges.

B) No. The conditional distributions of colleges by gender are similar. Since the distributions ofcolleges is essentially the same for males and females, there is evidence of an associationbetween gender and colleges.

C) Yes. The conditional distributions of colleges by gender are similar. Since the distributions ofcolleges is essentially the same for males and females, there is no evidence of an associationbetween gender and colleges.

D) No. The conditional distributions of colleges by gender varies. More male students will beentering the College of Business and the College of Education than female students. This issufficient evidence of an association between gender and colleges.

E) No. The conditional distributions of colleges by gender are similar. Since the distributions ofcolleges is essentially the same for males and females, there is no evidence of an associationbetween gender and colleges.

18

45) A company held a cholesterol screening clinic for its employees. The results are summarized in thetable below by age group and cholesterol level. A graphical display of the conditional distributionsof cholesterol levels by age is given.

Age

Under 30 30-49 Over 50 Low 31 38 24 Borderline 50 96 111 High 18 46 63

Does this prove that aging causes increased cholesterol levels? Explain.

45)

A) Yes. There is evidence of an association between age and cholesterol level. The percentage ofemployees with high cholesterol increased with age. Likewise, the percentage of employeeswith low cholesterol decreased with age.

B) Yes. Generally, an association between two variables does imply a cause-and-effectrelationship. However, these data come from only one company and cannot necessarily beapplied to all people. A controlled experiment that can isolate the relationship between ageand cholesterol level would make this a stronger claim.

C) No. Generally, an association between two variables does not imply a cause-and-effectrelationship. Specifically, these data come from only one company and cannot be applied toall people. Only a controlled experiment can isolate the relationship between age andcholesterol level.

D) No. There is sufficient evidence of an association between age and cholesterol level. However,the percentage of employees with low cholesterol increased with age. Likewise, thepercentage of employees with high cholesterol decreased with age.

E) No. Generally, an association between two variables does imply a cause-and-effectrelationship. Specifically, these data come from only one company and cannot be applied toall people. However, if more companies provided cholesterol screenings and these data werecompiled, then the claim could be proven.

46) A survey of salesmen was conducted to examine the possibility of a relationship between men'sheight and annual income. The company interested in the results of the survey believes that tallermen are more successful at getting sales, resulting in a higher annual income. The table shows thepercentages of income levels for each height category. A graphical display of the conditionaldistributions of income levels by height is given.

46)

19

Height

Under 5'4'' 5'4'' - 5'7'' 5'8'' - 5'11'' Over 5'11'' Under $35,000 $35,000 - $49,999 $50,000 - $69,999 $70,000 - $99,999 $100,000 and over

12%21%23%24%20%

13%21%22%24%20%

13%20%23%25%19%

6%20%23%24%27%

Total 100 100 100 100

Do these data support the company's belief: taller men are more successful salesmen? Explain.A) No. The percentages in the income levels for the different height categories did not vary by

more than 1%, with the exception of salesmen over 5'11' in the under $35,000 category and the$100,000 or over category. These data should be ignored.

B) Yes. The percentages in all income levels for salesmen over 5'11'' are higher than thepercentages in the same income levels for men 5'11'' or shorter.

C) No. The percentages in all income levels for all height categories of salesmen are too similar tomake this claim.

D) Yes, to a certain extent. The percent of salesmen over 5'11'' that make $100,000 or more is 27%,compared to the 19% or 20% for men 5'11'' or shorter. Similarly, the percent of salesmen over5'11'' that make under $35,000 is 6%, compared to the 12% or 13% for men 5'11'' or shorter.However, with these two exceptions, the percentages in the remaining income levels did notvary by more than 1%.

E) Yes. The percent of salesmen over 5'11'' that make $100,000 or more is 27%, compared to the19% or 20% for men 5'11'' or shorter. Similarly, the percent of salesmen over 5'11'' that makeunder $35,000 is 6%, compared to the 12% or 13% for men 5'11'' or shorter.

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47) Most women who have had a mastectomy can have breast reconstruction surgery. Thereconstruction surgery can be performed at the same time as the mastectomy, an immediatereconstruction, or after the patient has healed from the mastectomy, second surgery reconstruction.Some women opt not to have reconstruction surgery. The table shows the percentages of women'schoices regarding reconstruction for three age categories. A graphical display of the conditionaldistributions of reconstruction choice by age is given.

Age

Under 35 35 - 50 Over 50 Immediate reconstruction Second surgery reconstruction No reconstruction

63%31% 6%

48%34%18%

23%41%36%

Total 100 100 100

Does there appear to be an association between reconstruction choice and age? Explain.

47)

A) Yes. A higher percentage of older women, especially over 50, who have had mastectomieschoose not to have reconstruction surgery. Likewise, a higher percentage of younger patientschoose to have immediate reconstruction. It appears that as the age of women havingmastectomies increases, the importance of having reconstructive breast surgery decreases.

B) No. The number of women over 50 who were included in these data was probably higherthan the number who were under 35. Using this assumption, there is not enough evidence toshow an association between reconstruction choice and age.

C) No. The percentages of women who have had mastectomies who choose to have secondsurgery reconstruction do not vary significantly. There is not enough evidence to show anassociation between reconstruction choice and age.

D) Yes. A higher percentage of older women, especially over 50, who have had mastectomieschoose to have second surgery reconstruction. It appears that as the age of women havingmastectomies increases, the importance of having reconstructive breast surgery increases.

E) No. In all age groups, most women want reconstruction surgery.

21

48) A company must decide which of two delivery services they will contract with. During a recenttrial period they shipped numerous packages with each service, and have kept track of how oftendeliveries did not arrive on time. Here are the data:

Deliveryservice

Type ofservice

Number ofdeliveries

Number of late packages

Super ShipRegular

Overnight200500

450

Fast PaksRegular

Overnight500200

1532

Based on the results, the company decided to hire Fast Paks. Do you agree they deliver on timemore often? Explain.

48)

A) Yes. Fast Paks only delivers 0.07% of its packages late, compared to Super Ship, who delivers0.08% of its packages late. Fast Paks is better at delivering regular and overnight packages.

B) No. Super Ship only delivers 2% of its regular packages late, compared to Fast Paks, whodeliver 3% of its regular packages late. Additionally, Super Ship only delivers 10% of itsovernight packages late, compared to Fast Paks, who delivers 16% of its overnight packageslate. Super Ship is better at delivering regular and overnight packages.

C) Yes. Fast Paks only delivers 2% of its regular packages late, compared to Super Ship, whodeliver 3% of its regular packages late. Additionally, Fast Paks only delivers 10% of itsovernight packages late, compared to Super Ship, who delivers 16% of its overnight packageslate. Fast Paks is better at delivering regular and overnight packages.

D) No. Fast Paks only delivers 0.08% of its packages late, compared to Super Ship, who delivers0.07% of its packages late. Super Ship is better at delivering regular and overnight packages.

E) No. This is an example of Simpson's paradox and unfair averaging. Since the overallpercentages and the individual percentages disagree on which delivery service is better, bothservices can be considered equal. It cannot be determined whether Super Ship or Fast Paksdeliver packages on time more often.

22

Answer KeyTestname: AP STATS CHAPTER 1-3 REVIEW 2016

1) DID: APSTAT2B 2.1.1-3



4) BID: APSTAT2B 2.1.2-8


6) AID: APSTAT2B 2.1.3-1




10) CID: APSTAT2B 2.1.4-1










20) EID: APSTAT2B 3.1.3-6



23) CID: APSTAT2B 3.1.3-10

23


24)

ID: APSTAT2B 3.1.4-1

25)

ID: APSTAT2B 3.1.4-3











24















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