# MATH 130 STATISTICS MOCK FINAL EXAM

MATH 130 STATISTICS MOCK FINAL EXAM

Coverage: chapters 1-13 in Sullivan’s Statistics, 4th ed.

The contents of the actual exam will reflect the homework assignments and the material covered in the class, though

this mock final is admittedly heavy on material from chapters 11, 12, and 13. As stated in the syllabus, however, at

least 25% of the material on the actual final will be drawn from chapters 11-13, inclusive. This mock examination is

offered to you as is, mainly for informational purposes, and to help goad you into preparing. There are no

guarantees either expressed or implied. For the full disclaimer, refer to your course Web page.

You can earn extra credit in the exam category by submitting answers to this mock final as instructed below. You

will earn one point for each correct answer, up to 50. These points will be scaled per the weighting formula

presented in the syllabus.

The answers to this mock final must be submitted when you submit your actual final. Late submissions will not be

graded. You must submit your answers on a Scantron form SC882; no other forms– including ParScore brand

forms– will be graded. It is not necessary to show work for any of these problems; all I need from you is the

Scantron form. For obvious reasons, please make sure to clearly mark it “mock final.” You will earn one point

of extra credit for each problem you answer correctly on this mock final. Refer to the syllabus for information

regarding how this will be factored in to your course grade. Understand that you are responsible for any errors

related to mismarked or poorly-erased answers on the Scantron form; there will be no adjustments to the score

printed by the Scantron machine.

Your actual final exam will consist of forty multiple-choice questions, each worth five points, of which you must do

at least thirty, and several open-ended questions, each worth ten points, of which you must do exactly five. Your

final exam score will be computed as a fraction of 200 points. You are allowed to use your text for the final–

mainly because of the tables it contains– and a single 8.5″ by 11″ sheet of notes, should you wish to do so. The

usual constrains apply to the sheet of notes: nothing mechanically reproduced on the sheet, use one or both sides as

needed.

This mock final is supposed to help you get ready for the final. If you have any constructive feedback regarding the

utility of this mock final, please feel free to share.

If you have missed any of the regular exams, per the syllabus, you are not eligible for extra credit earned via

this mock final exam. Feel free to use it for studying, but don’t bother submitting your answers.

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1. Consider the infographic below. What, if anything, is wrong with it? Mark all that

apply.

a) The graph violates the area principle.

b) It is not clear what data the image of the doctors is supposed to represent: the

percentage of doctors devoted to family practice or the ratios of doctors to

population.

c) There is no scale provided on either axis.

d) The intervals between the years cited are not the same.

e) None of these.

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Use the following to answer questions 2-6:

A certain professor wanted to see if there was any relationship between the grades students

earned in her classes and the amount of time they put in doing homework in the Course

Management System (CMS). She took a random sample of 20 students from a certain term– all

enrolled in the same course– and recorded the total hours they spent on homework in the CMS

(x) and their overall percentage score in the course (y). Use this data to answer the following

questions.

Student AB C D E

Hours (x) 68 48 76 107 131

Score (y) 81 28 50 62 79

Student FGH I J

Hours (x) 29 34 57 79 45

Score (y) 21 75 71 91 76

Student KLMN O

Hours (x) 123 126 38 30 71

Score (y) 82 61 63 85 99

Student PQ R S T

Hours (x) 65 45 86 88 64

Score (y) 99 100 86 100 98

2. Suppose the professor remembers that a certain student scored 80 in the course.

According to the model (use the full-precision regression model in your calculator, not a

rounded version of it), how many hours would the student put into the course? Round

your answer to the nearest tenth of an hour.

a) 108.1 hours d) 107.8 hours

b) 108.6 hours e) None of these.

c) 109.2 hours

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3. Suppose a student earned a score of 95 in the course with 90 hours of homework.

According to the model (use the full-precision regression model in your calculator, not a

rounded version of it), is that score above average? Why?

a) According to the model, 90 hours of homework would result in a score of 78

(rounded to the nearest integer), so an actual score of 95 is above average.

b) According to the model, 90 hours of homework would result in a score of 96

(rounded to the nearest integer), so an actual score of 95 is slightly below average.

c) According to the model, 90 hours of homework would result in a score of 83

(rounded to the nearest integer), so an actual score of 95 is above average.

d) According to the model, 90 hours of homework would result in a score of 98

(rounded to the nearest integer), so an actual score of 95 is below average.

e) None of these.

4. What is the value of the correlation coefficient for this model? Round your answer to

three places.

a) 0.783 b) 0.171 c) 0.814 d) 0.187 e) None of these.

5. Suppose the professor doesn’t really understand linear regression and asks you for help

interpreting the slope of the regression line. Which of the following gives the best

explanation, if you round your answer to three places?

a) The slope is 66.748, and it means that the average score in the course (for all the

students) is 66.748%.

b) The slope is 0.122, and it means that, on the average, a one-point increase in the

score requires 0.122 additional hours of homework.

c) The slope is 0.122, and it means that, on the average, a ten-point increase in the

score requires 1.22 additional hours of homework.

d) The slope is 0.122, and it can be interpreted to mean that for every additional ten

hours a student invests in homework, their course grade will increase by 1.22

points, on the average.

e) None of these.

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6. Suppose the professor doesn’t really understand linear regression and asks you for help

interpreting the y-intercept of the regression line. Which of the following gives the best

explanation, if you round your answer to three places?

a) The model has no y-intercept.

b) The y-intercept is 66.748, and it represents the average score in the course for all the

students in all the sections, according to the model.

c) The coordinates of the y-intercept are ? ? 0,66.748 , and it means that according to

the model (not the data), if a student spends zero hours working homework, their

score in the course would be 66.748%. This is an extrapolated value, however, and

has nothing which corresponds directly in the data set.

d) The coordinates of the y-intercept are ? ? 0,0.122 , and it means that according to the

model (not the data), if a student spends 0.122 hours working homework, their score

in the course would be 0%. This is an extrapolated value, however, and has nothing

which corresponds directly in the data set.

e) None of these.

Use the following to answer questions 7-12:

iPad ownership

iPhone

ownership

Yes No

Yes 310 345

No 300 645

Consider the table shown above, which summarizes the results of a survey of randomly selected

students at a university campus regarding their ownership of Apple products. Use the

information to answer the following questions.

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7. If you were to re-express the information contained in the contingency table above in

the form of a Venn diagram, which of the following, if any, would be correct?

a)

b)

c) None of these.

8. According to the survey responses, what is the probability that a randomly selected

student owns neither an iPad or an iPhone? Round your answer to no more than four

places.

a) 0.4075 b) 0.4023 c) 0.4031 d) 0.4125 e) None of these.

9. According to the survey responses, what is the probability that a randomly selected

student owns an iPhone? Round your answer to no more than four places.

a) 0.2156 b) 0.4094 c) 0.2219 d) 0.4052 e) None of these.

10. According to the survey responses, what is the probability that a randomly selected

student owns an iPhone or an iPad? Round your answer to no more than four places.

a) 0.5969 b) 0.5891 c) 0.1938 d) 0.6022 e) None of these.

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11. According to the survey responses, the events “owns an iPad” and “owns an iPhone” are

(mark all which apply):

a) Independent d) Mutually exclusive

b) Binomial e) None of these.

c) Complements of each other

12. According to the survey responses, what is the probability that a randomly selected

student owns an iPad, given they own an iPhone? Round your answer to no more than

four places.

a) 0.4719 b) 0.1938 c) 0.4726 d) 0.4732 e) None of these.

Use the following to answer questions 13-15:

A dice game, based on rolling two six-sided dice (similar to the game of craps) costs $1 to play

and offers the following jackpots:

Roll Jackpot

2, 12 $10

Hard 4, 6, 8, 10 $5

A hard 4 means rolling (2, 2); hard 6 means (3, 3), and so forth.

13. What is the expected value of this game, from the perspective of the house (i.e., not

the player)? Round your answer to two places.

a) $0.05 b) $0.20 c) $0.09 d) ?$0.05 e) None of these.

14. Regarding this dice game, from the perspective of the player (i.e., not the house),

which of the following are true? Mark all which apply.

a) The expected value is positive.

b) The expected value is negative.

c) This is a profitable game.

d) This is an unprofitable game.

e) None of these.

15. Which of the following (if any) changes to the payouts would make the game fair

(expected value of zero)? Mark all which apply.

a) $6 for rolling 2 or 12, and $3 for rolling (2, 2), (3, 3), (4, 4), (5, 5).

b) $8 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

c) $12 for rolling 2 or 12, and $6 for rolling (2, 2), (3, 3), (4, 4), (5, 5).

d) $4 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

e) None of these.

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16. If E and F are mutually exclusive events, which of the following must be true?

a) P EF P E ? ? ? ? ?

b) PE F PE PF PE F ? ? ?? ?? ? ? ? ? ???

c) PE PF ?? ?? ? ? 1

d) E and F are independent.

e) None of these.

17. Suppose 21% of the urban population is 18 years old or younger. Five residents of that

city are selected at random; find the probability that at least two of the selected five

persons are 18 years old or younger. Round your answer to two places.

a) 0.22 b) 0.17 c) 0.06 d) 0.11 e) None of these.

18. A student takes a 5 question multiple choice quiz with 4 choices for each question. If

the student guesses at random on each question, what is the probability that the student

gets exactly 3 questions correct?

a) 0.066 b) 0.176 c) 0.022 d) 0.088 e) None of these.

19. The number of students per classroom in a mid-size college is a random variable whose

distribution is normal with mean 37 students and standard deviation 4 students. You

intend to visit twenty five classrooms, what is the probability that the average number of

students per room will be greater than 38.2 students?

a) 0.1568 b) 0.8633 c) 0.1467 d) 0.9332 e) None of these.

20. The average number of mosquitos in a stagnant pond is 80 per square meter with a

standard deviation of 8. If 36 square meters are chosen at random for a mosquito count,

find the probability that the average of those counts is more than 81.3 mosquitos per

square meter. Assume that the variable is normally distributed.

a) 0.1267 b) 0.3587 c) 0.0520 d) 0.1587 e) None of these.

21. For a normal distribution curve with a mean of 6 and a standard deviation of 6, which of

the following ranges of the variable will define an area under the curve corresponding to

a probability of approximately 34%?

a) from 0 to 12 d) from 6 to 12

b) from –6 to 18 e) None of these.

c) from 3 to 9

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22. You can decrease the width of a confidence interval by:

a) lowering the confidence level or increasing the sample size

b) lowering the confidence level or decreasing the sample size

c) increasing the confidence level or increasing the sample size

d) increasing the confidence level or decreasing the sample size

e) None of these.

23. An employee of the College Board analyzes the mathematics section of the SAT for 92

students and finds x = 32.4 and s = 13.3. She reports that a 99% confidence interval for

the mean number of correct answers is (28.823, 35.977).

Which of the following interpretations of the confidence interval is most correct?

a) On the average, the interval (28.823, 35.977) will contain the sample mean for

samples taken from this population of students 99% of the time.

b) 99% of the 92 students answered somewhere between 28.823 and 35.977 questions

from the SAT mathematics section correctly.

c) The interval (28.823, 35.977) will contain 99% of the number of correctly answered

questions from the SAT mathematics section.

d) There is a 99% probability that the interval (28.823, 35.977) contains the true mean

number of questions answered correctly on the SAT mathematics section.

e) None of these.

24. If the significance level of a hypothesis test is 1% we will reject the null hypothesis is

the p-value is

a) greater than 0.005 b) less than 0.01 c) greater than 0.99 d) less than 0.005

25. For a left-tailed test, the p-value is:

a) the probability of obtaining a test statistic more extreme (i.e., further out in the left

tail) than what we obtained, assuming H0 is true.

b) twice the area under the curve to the same side of the value of the test statistic as is

specified in the alternative hypothesis.

c) the probability of obtaining a test statistic more extreme (i.e., further out in the left

tail) than what we obtained, assuming H1 is true.

d) the area under the curve between the mean and the observed value of the test

statistic.

e) None of these.

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Use the following to answer questions 26-27:

A medical doctor uses a diagnostic test to determine if her patient has rheumatoid arthritis. The

doctor will prescribe treatment only if she thinks the patient has arthritis. In a sense, the doctor is

using a null and an alternative hypothesis to decide whether or not to administer treatment. The

hypotheses might be stated as:

H0

: The person does not have arthritis (no arthritis)

H1

: The person has arthritis.

The grid presents the four possible combinations of the doctor’s decision and the “true” situation.

There are two statements in each cell, one about the doctor’s decision and one about the patient’s

actual condition (no arthritis OR arthritis). For each statement, circle the word in parentheses

that makes the statements match the doctor’s decision and the true state of the patient. There are

eight statements all together, so be sure to make a selection for each one.

26. What are the consequences of the doctor committing a Type I Error?

a) The doctor diagnoses the patient as having no arthritis when the patient actually

does have arthritis.

b) The doctor diagnoses the patient as having arthritis when the patient does not

actually have arthritis.

c) The doctor diagnoses the patient as having arthritis when the patient actually does

have arthritis.

d) The doctor diagnoses the patient as having no arthritis when the patient really does

not have arthritis.

e) None of these.

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27. What are the consequences of the doctor committing a Type II Error?

a) The doctor diagnoses the patient as having arthritis when the patient actually does

have arthritis.

b) The doctor diagnoses the patient as having arthritis when the patient does not

actually have arthritis.

c) The doctor diagnoses the patient as having no arthritis when the patient really does

not have arthritis.

d) The doctor diagnoses the patient as having no arthritis when the patient actually

does have arthritis.

e) None of these.

28. Which, if any, of the following tests would be used for the following scenario?

Which takes less time to travel to school –– car or public transportation? We select a

random sample of 45 RHC students and compare their travel time to school for both

types of commute.

a) ANOVA.

b) Difference of two means, independent samples.

c) 2 ? goodness of fit test.

d) Difference of two means, matched pairs design.

e) None of these.

29. Which, if any, of the following tests would be used for the following scenario?

A dentist wonders if consumption of acidic drinks (soft drinks, orange juice, etc.) may

be a factor in loose cement on children’s braces. The dentist checks the cement bonds of

35 randomly selected patients who do not drink soda, and 35 patients who do drink

soda.

a) ANOVA.

b) 2 ? goodness of fit test.

c) Difference of two means, matched pairs design.

d) Difference of two means, independent samples.

e) None of these.

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30. Which, if any, of the following tests would be used for the following scenario?

Researchers want to determine if the college majors of students change between

admission and graduation. A random sample of 2160 incoming freshmen found the

majors were distributed as follows: Arts, 9%; Education and Social Sciences, 10%;

Humanities, 23%; Business, Finance, and Accounting, 27%; STEM (Science,

Technology, Engineering, Mathematics), 31%. A random sample of 2092 students taken

at graduation (same campus) revealed the distribution was: Arts, 15%; Education and

Social Sciences, 19%; Humanities, 19%; Business, Finance, and Accounting, 21%;

STEM (Science, Technology, Engineering, Mathematics), 26%.

a) ANOVA.

b) Difference of two means, independent samples.

c) 2 ? goodness of fit test.

d) Difference of two means, matched pairs design.

e) None of these.

31. Which, if any, of the following tests would be used for the following scenario?

A researcher wanted to determine if the political inclination of people had an impact on

how they view media bias. A random sample of 1,180 adults yielded the following data.

Subjects were asked to self-identify regarding their political worldview, and then they

were asked (on a rotating basis) how they viewed the media. The number of individuals

responding is recorded in the contingency table.

a) Difference of two means, independent samples.

b) ANOVA.

c) Difference of two means, matched pairs design.

d) 2 ? goodness of fit test.

e) None of these.

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About right Biased toward

conservatives

Democrat 73 223 70

Independent 274 127 71

Republican 257 68 17

Political affiliation/

Media coverage is:

Biased toward

liberals

32. Which, if any, of the following tests would be used for the following scenario?

Among a random sample of college-age students, 6% of the 473 men said they had been

adopted, compared to only 4% of the 552 women. Does this indicate a significant

difference between adoption rates of males and females in college-age students?

a) Difference of two means, matched pairs design.

b) Difference of two means, independent samples.

c) ANOVA.

d) 2 ? goodness of fit test.

e) None of these.

Use the following to answer questions 33-35:

Seven students were randomly selected to test the effectiveness of a refresher course for a

placement exam. Their scores on the placement exam before and after the refresher course are

given in the table below.

Student A B C D E F G

Before 35 48 75 38 79 45 83

After 45 63 81 35 72 67 82

33. Find a 98% confidence interval for the mean difference, ?d After Before ? ? ? ? .

a) ? ? ?15.17,3.17 d) ? ? ?3.166,15.166

b) ? ? ?18.38,6.38 e) None of these.

c) ? ? ?6.382,18.382

34. What is the p-value if we test the claim that 0 ?d ? (recall, ?d After Before ? ? ? ? )? Use

? ? 0.02 ; round your answer to four places.

a) 0.0639 b) 0.0435 c) 0.0893 d) 0.0021 e) None of these.

35. What is the value of the test statistic if we test the claim that 0 ?d ? (recall,

?d After Before ? ? ? ? )? Use ? ? 0.02 ; round your answer to four places.

a) 1.3712 b) ?3.5124 c) 1.6328 d) ?1.5228 e) None of these.

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Use the following to answer questions 36-39:

A consumer wondered if there was any difference between the useful lifetime of generic

batteries and more expensive brand-name batteries. On one shopping trip she purchased a

package of generic AA batteries and another package of brand-name AA batteries for use in the

game controller remotes that her children play with. She put only generic batteries in one remote,

and only brand-name batteries in the other remote, and kept a record of how long each remote

was able to go before needing new batteries. The times (in minutes) between battery

replacements for each remote are recorded in the table below. Assume that battery lifetime is

normally distributed.

Generic battery lifetime Brand-name battery lifetime

199 175 148 178 237 231 185 216

217 175 172 175 188 214 195 197

191 205 164 204 194 177 226 201

36. Which of the following tests, if any, could be used to determine if there is any

difference between generic and brand-name battery lifetimes?

a) Difference of two means, matched pairs design.

b) Homogeneity of proportions.

c) ANOVA.

d) 2 ? Goodness of fit

e) None of these.

37. Using the data given above, if you test for a difference in the mean lifetimes of the

generic vs. brand-name batteries using the appropriate statistical test, what is the

alternative hypothesis you would use?

a) 11 2 H : ? ? ? d) 1 : 0 H ?d ?

b) 11 2 H : ? ? ? e) None of these.

c) 11 2 H : ? ? ?

38. Using the data given above, if you test for a difference in the mean lifetimes of the

generic vs. brand-name batteries using the appropriate statistical test, what is the value

of the test statistic? Round your answer to three places.

a) t ? 2.344 b) t ? 2.911 c) t ? ?2.487 d) t ? ?2.689 e) None of these.

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39. Using the data given above to obtain the appropriate 98% confidence interval, which of

the following (if any) best expresses our conclusion regarding generic vs. brand-name

AA battery life?

a) The confidence interval contains zero, which suggests we are 98% confident that

there is a significant difference in the lifetimes of generic vs. brand-name AA

batteries.

b) The confidence interval does not contain zero, which suggests we are 98%

confident that there is a significant difference in the lifetimes of generic vs. brandname

AA batteries.

c) The confidence interval contains zero, which suggests we are 98% confident that

there is no significant difference in the lifetimes of generic vs. brand-name AA

batteries.

d) The confidence interval does not contain zero, which suggests we are 98%

confident that there is no significant difference in the lifetimes of generic vs. brandname

AA batteries.

e) None of these.

Use the following to answer questions 40-43:

A recent survey of local college students yielded the following data. Students were randomly

selected, and then offered a chance to win a cash prize if they answered a few questions. One

question they were asked had to do with the impact of the recent shutdown of the Federal

Government: “Did the recent (Fall 2013) shutdown of the Federal Government have a significant

impact?” In addition, students were asked to identify which political group they most closely

identified with: Democratic Party, Independent, Republican Party.

Politics/

Significant impact

Democrats/

Left-leaning

Independent/

Centrist

Republicans

Right-leaning Total

Yes 265 273 148 686

No 71 114 82 267

Total 336 387 230 953

40. What is the alternative hypothesis for the test?

a) 1 : H i j p p ? for i j ? (i.e., at least one of the proportions is different).

b) 1 : H ?i j ? ? for i j ? (i.e., the means are the same).

c) 1 : H i j p p ? for i j ? (i.e., the proportions are the same).

d) 1 : H ?i j ? ? for i j ? (i.e., at least two of the means are different).

e) None of these.

Revised Spring 2016 Page 15

41. Find the expected count for the cell which lies at the intersection of the Yes row and the

Democrat/Leans Left column. Round your answer to three places.

a) 242.562 b) 94.136 c) 240.127 d) 241.864 e) None of these.

42. What is the value of the test statistic for this situation? Round your answer to four

places.

a) 14.8989 b) 14.8725 c) 14.9847 d) 14.9465 e) None of these.

43. Which of the following best expresses the conclusion of the test, in practical terms?

a) The proportions of people who believe the shutdown was significant/insignificant

are more or less equal.

b) Yes, there is an association between perspective on the shutdown and political

affiliation.

c) The proportions of people who believe the shutdown was significant/insignificant

are more or less unequal.

d) No, there is no association between perspective on the shutdown and political

affiliation.

e) None of these.

44. A running coach wanted to see whether runners ran faster after eating spaghetti the

night before. A group of six runners was randomly chosen for this study. Each ran a 5

kilometer race after having a normal dinner the night before, and then a week later,

reran the same race after having a spaghetti dinner the night before. The times for their

races are shown in the table below. What is the value of the test statistic?

a) 1.03 b) 2.53 c) 1.31 d) 0.53 e) None of these.

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999 s 984 s 1008 s 969 s 1015 s 995 s

Spaghetti

Dinner

992 s 979 s 1005 s 968 s 1016 s 998 s

Runner 1 Runner 2 Runner 3 Runner 4 Runner 5 Runner 6

Regular

Dinner

Use the following to answer questions 45-50:

On the Web site BeerAdvocate.com, users are able to rate beers on the basis of appearance,

smell, taste, and so forth. The scores in each category are combined to give an overall score for

each beer, which ranges from 0 to 5. The Web site also shows the number of times each beer has

been reviewed. The BeerAdvocate.com scores for a random selection of the most-frequently

reviewed beers in four different styles/types of beer are given below in the table:

Randomly selected BeerAdvocate.com scores

West Coast Style

DIPA

Russian Imperial

Stout Dopplebock Saison

Farmhouse Ale

4.28 4.36 4.35 4.16

4.64 4.37 3.89 4.19

4.52 4.16 3.93 4.15

4.32 4.37 3.91 4.32

4.73 4.22 4.21 4.12

4.05 4.6 3.92 4

4.38 4.27 3.98 3.81

4.22 4.18 3.74 3.86

4.18 4.14 3.67 3.79

4.35 4.24 4.24 4.29

4.23 4.23 4.06 4.85

4.32 4.35 4.07 4.83

4.14 4.49 4.03 4.52

4.11 3.98 4.08 4.49

4.09 4.15 3.94 4.63

4.25 4.3 3.57 4.42

4.08 3.93 3.88 4.43

4.17 4.35 3.75 4.39

4.04 3.8 3.46 3.8

4.52 3.93 3.58 3.9

45. If we want to test whether the mean BeerAdvocate.com scores from the four different

beer styles are not the same, which (if any) of the following alternative hypotheses

would we use?

a) 11 2 3 4 H : ? ??? ???

b) 1 : H ?i j ? ? for i j ? (at least one of the means differs from the others)

c) 1 : H i j p p ? for i j ? (at least one of the categories differs from the others)

d) 1 : H ?i j ? ? for i j ? (none of the means differs from the others)

e) None of these.

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46. Using the data given above, if you use the appropriate built-in function to test whether

the BeerAdvocate.com scores from the four different beer styles are not the same, which

of the following could be your test statistic? Round your answer(s) to four places

maximum.

a) 9.7218 b) 9.5532 c) 9.8741 d) 9.6859 e) None of these.

47. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the critical value we

would need in order to run this test, if we test at the ? ? 0.05 level of significance?

a) 3.737 b) 3.791 c) 3.685 d) 3.633 e) None of these.

48. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the test statistic from

Tukey’s Test when you compare the means of West Coast Style DIPA and Saison?

Round your answer to three places.

a) 0.615 b) 0.587 c) 0.628 d) 0.603 e) None of these.

49. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the test statistic from

Tukey’s Test when you compare the means of Russian Imperial Stout and Dopplebock?

Round your answer to three places.

a) 5.581 b) 5.619 c) 5.632 d) 5.725 e) None of these.

50. Suppose we end up rejecting the null hypothesis and we perform Tukey’s Test to

determine which of the means differ from the others. What is the result from this test?

[Hint: see page 642 in your text, and/or solutions to other problems from section 13.2.]

a) ?1234 ??? d) ?1243 ???

b) ?1234 ??? e) None of these.

c) ?1234 ???

Coverage: chapters 1-13 in Sullivan’s Statistics, 4th ed.

The contents of the actual exam will reflect the homework assignments and the material covered in the class, though

this mock final is admittedly heavy on material from chapters 11, 12, and 13. As stated in the syllabus, however, at

least 25% of the material on the actual final will be drawn from chapters 11-13, inclusive. This mock examination is

offered to you as is, mainly for informational purposes, and to help goad you into preparing. There are no

guarantees either expressed or implied. For the full disclaimer, refer to your course Web page.

You can earn extra credit in the exam category by submitting answers to this mock final as instructed below. You

will earn one point for each correct answer, up to 50. These points will be scaled per the weighting formula

presented in the syllabus.

The answers to this mock final must be submitted when you submit your actual final. Late submissions will not be

graded. You must submit your answers on a Scantron form SC882; no other forms– including ParScore brand

forms– will be graded. It is not necessary to show work for any of these problems; all I need from you is the

Scantron form. For obvious reasons, please make sure to clearly mark it “mock final.” You will earn one point

of extra credit for each problem you answer correctly on this mock final. Refer to the syllabus for information

regarding how this will be factored in to your course grade. Understand that you are responsible for any errors

related to mismarked or poorly-erased answers on the Scantron form; there will be no adjustments to the score

printed by the Scantron machine.

Your actual final exam will consist of forty multiple-choice questions, each worth five points, of which you must do

at least thirty, and several open-ended questions, each worth ten points, of which you must do exactly five. Your

final exam score will be computed as a fraction of 200 points. You are allowed to use your text for the final–

mainly because of the tables it contains– and a single 8.5″ by 11″ sheet of notes, should you wish to do so. The

usual constrains apply to the sheet of notes: nothing mechanically reproduced on the sheet, use one or both sides as

needed.

This mock final is supposed to help you get ready for the final. If you have any constructive feedback regarding the

utility of this mock final, please feel free to share.

If you have missed any of the regular exams, per the syllabus, you are not eligible for extra credit earned via

this mock final exam. Feel free to use it for studying, but don’t bother submitting your answers.

Revised Spring 2016 Page 1

1. Consider the infographic below. What, if anything, is wrong with it? Mark all that

apply.

a) The graph violates the area principle.

b) It is not clear what data the image of the doctors is supposed to represent: the

percentage of doctors devoted to family practice or the ratios of doctors to

population.

c) There is no scale provided on either axis.

d) The intervals between the years cited are not the same.

e) None of these.

Revised Spring 2016 Page 2

Use the following to answer questions 2-6:

A certain professor wanted to see if there was any relationship between the grades students

earned in her classes and the amount of time they put in doing homework in the Course

Management System (CMS). She took a random sample of 20 students from a certain term– all

enrolled in the same course– and recorded the total hours they spent on homework in the CMS

(x) and their overall percentage score in the course (y). Use this data to answer the following

questions.

Student AB C D E

Hours (x) 68 48 76 107 131

Score (y) 81 28 50 62 79

Student FGH I J

Hours (x) 29 34 57 79 45

Score (y) 21 75 71 91 76

Student KLMN O

Hours (x) 123 126 38 30 71

Score (y) 82 61 63 85 99

Student PQ R S T

Hours (x) 65 45 86 88 64

Score (y) 99 100 86 100 98

2. Suppose the professor remembers that a certain student scored 80 in the course.

According to the model (use the full-precision regression model in your calculator, not a

rounded version of it), how many hours would the student put into the course? Round

your answer to the nearest tenth of an hour.

a) 108.1 hours d) 107.8 hours

b) 108.6 hours e) None of these.

c) 109.2 hours

Revised Spring 2016 Page 3

3. Suppose a student earned a score of 95 in the course with 90 hours of homework.

According to the model (use the full-precision regression model in your calculator, not a

rounded version of it), is that score above average? Why?

a) According to the model, 90 hours of homework would result in a score of 78

(rounded to the nearest integer), so an actual score of 95 is above average.

b) According to the model, 90 hours of homework would result in a score of 96

(rounded to the nearest integer), so an actual score of 95 is slightly below average.

c) According to the model, 90 hours of homework would result in a score of 83

(rounded to the nearest integer), so an actual score of 95 is above average.

d) According to the model, 90 hours of homework would result in a score of 98

(rounded to the nearest integer), so an actual score of 95 is below average.

e) None of these.

4. What is the value of the correlation coefficient for this model? Round your answer to

three places.

a) 0.783 b) 0.171 c) 0.814 d) 0.187 e) None of these.

5. Suppose the professor doesn’t really understand linear regression and asks you for help

interpreting the slope of the regression line. Which of the following gives the best

explanation, if you round your answer to three places?

a) The slope is 66.748, and it means that the average score in the course (for all the

students) is 66.748%.

b) The slope is 0.122, and it means that, on the average, a one-point increase in the

score requires 0.122 additional hours of homework.

c) The slope is 0.122, and it means that, on the average, a ten-point increase in the

score requires 1.22 additional hours of homework.

d) The slope is 0.122, and it can be interpreted to mean that for every additional ten

hours a student invests in homework, their course grade will increase by 1.22

points, on the average.

e) None of these.

Revised Spring 2016 Page 4

6. Suppose the professor doesn’t really understand linear regression and asks you for help

interpreting the y-intercept of the regression line. Which of the following gives the best

explanation, if you round your answer to three places?

a) The model has no y-intercept.

b) The y-intercept is 66.748, and it represents the average score in the course for all the

students in all the sections, according to the model.

c) The coordinates of the y-intercept are ? ? 0,66.748 , and it means that according to

the model (not the data), if a student spends zero hours working homework, their

score in the course would be 66.748%. This is an extrapolated value, however, and

has nothing which corresponds directly in the data set.

d) The coordinates of the y-intercept are ? ? 0,0.122 , and it means that according to the

model (not the data), if a student spends 0.122 hours working homework, their score

in the course would be 0%. This is an extrapolated value, however, and has nothing

which corresponds directly in the data set.

e) None of these.

Use the following to answer questions 7-12:

iPad ownership

iPhone

ownership

Yes No

Yes 310 345

No 300 645

Consider the table shown above, which summarizes the results of a survey of randomly selected

students at a university campus regarding their ownership of Apple products. Use the

information to answer the following questions.

Revised Spring 2016 Page 5

7. If you were to re-express the information contained in the contingency table above in

the form of a Venn diagram, which of the following, if any, would be correct?

a)

b)

c) None of these.

8. According to the survey responses, what is the probability that a randomly selected

student owns neither an iPad or an iPhone? Round your answer to no more than four

places.

a) 0.4075 b) 0.4023 c) 0.4031 d) 0.4125 e) None of these.

9. According to the survey responses, what is the probability that a randomly selected

student owns an iPhone? Round your answer to no more than four places.

a) 0.2156 b) 0.4094 c) 0.2219 d) 0.4052 e) None of these.

10. According to the survey responses, what is the probability that a randomly selected

student owns an iPhone or an iPad? Round your answer to no more than four places.

a) 0.5969 b) 0.5891 c) 0.1938 d) 0.6022 e) None of these.

Revised Spring 2016 Page 6

11. According to the survey responses, the events “owns an iPad” and “owns an iPhone” are

(mark all which apply):

a) Independent d) Mutually exclusive

b) Binomial e) None of these.

c) Complements of each other

12. According to the survey responses, what is the probability that a randomly selected

student owns an iPad, given they own an iPhone? Round your answer to no more than

four places.

a) 0.4719 b) 0.1938 c) 0.4726 d) 0.4732 e) None of these.

Use the following to answer questions 13-15:

A dice game, based on rolling two six-sided dice (similar to the game of craps) costs $1 to play

and offers the following jackpots:

Roll Jackpot

2, 12 $10

Hard 4, 6, 8, 10 $5

A hard 4 means rolling (2, 2); hard 6 means (3, 3), and so forth.

13. What is the expected value of this game, from the perspective of the house (i.e., not

the player)? Round your answer to two places.

a) $0.05 b) $0.20 c) $0.09 d) ?$0.05 e) None of these.

14. Regarding this dice game, from the perspective of the player (i.e., not the house),

which of the following are true? Mark all which apply.

a) The expected value is positive.

b) The expected value is negative.

c) This is a profitable game.

d) This is an unprofitable game.

e) None of these.

15. Which of the following (if any) changes to the payouts would make the game fair

(expected value of zero)? Mark all which apply.

a) $6 for rolling 2 or 12, and $3 for rolling (2, 2), (3, 3), (4, 4), (5, 5).

b) $8 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

c) $12 for rolling 2 or 12, and $6 for rolling (2, 2), (3, 3), (4, 4), (5, 5).

d) $4 for rolling any “double,” i.e., (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

e) None of these.

Revised Spring 2016 Page 7

16. If E and F are mutually exclusive events, which of the following must be true?

a) P EF P E ? ? ? ? ?

b) PE F PE PF PE F ? ? ?? ?? ? ? ? ? ???

c) PE PF ?? ?? ? ? 1

d) E and F are independent.

e) None of these.

17. Suppose 21% of the urban population is 18 years old or younger. Five residents of that

city are selected at random; find the probability that at least two of the selected five

persons are 18 years old or younger. Round your answer to two places.

a) 0.22 b) 0.17 c) 0.06 d) 0.11 e) None of these.

18. A student takes a 5 question multiple choice quiz with 4 choices for each question. If

the student guesses at random on each question, what is the probability that the student

gets exactly 3 questions correct?

a) 0.066 b) 0.176 c) 0.022 d) 0.088 e) None of these.

19. The number of students per classroom in a mid-size college is a random variable whose

distribution is normal with mean 37 students and standard deviation 4 students. You

intend to visit twenty five classrooms, what is the probability that the average number of

students per room will be greater than 38.2 students?

a) 0.1568 b) 0.8633 c) 0.1467 d) 0.9332 e) None of these.

20. The average number of mosquitos in a stagnant pond is 80 per square meter with a

standard deviation of 8. If 36 square meters are chosen at random for a mosquito count,

find the probability that the average of those counts is more than 81.3 mosquitos per

square meter. Assume that the variable is normally distributed.

a) 0.1267 b) 0.3587 c) 0.0520 d) 0.1587 e) None of these.

21. For a normal distribution curve with a mean of 6 and a standard deviation of 6, which of

the following ranges of the variable will define an area under the curve corresponding to

a probability of approximately 34%?

a) from 0 to 12 d) from 6 to 12

b) from –6 to 18 e) None of these.

c) from 3 to 9

Revised Spring 2016 Page 8

22. You can decrease the width of a confidence interval by:

a) lowering the confidence level or increasing the sample size

b) lowering the confidence level or decreasing the sample size

c) increasing the confidence level or increasing the sample size

d) increasing the confidence level or decreasing the sample size

e) None of these.

23. An employee of the College Board analyzes the mathematics section of the SAT for 92

students and finds x = 32.4 and s = 13.3. She reports that a 99% confidence interval for

the mean number of correct answers is (28.823, 35.977).

Which of the following interpretations of the confidence interval is most correct?

a) On the average, the interval (28.823, 35.977) will contain the sample mean for

samples taken from this population of students 99% of the time.

b) 99% of the 92 students answered somewhere between 28.823 and 35.977 questions

from the SAT mathematics section correctly.

c) The interval (28.823, 35.977) will contain 99% of the number of correctly answered

questions from the SAT mathematics section.

d) There is a 99% probability that the interval (28.823, 35.977) contains the true mean

number of questions answered correctly on the SAT mathematics section.

e) None of these.

24. If the significance level of a hypothesis test is 1% we will reject the null hypothesis is

the p-value is

a) greater than 0.005 b) less than 0.01 c) greater than 0.99 d) less than 0.005

25. For a left-tailed test, the p-value is:

a) the probability of obtaining a test statistic more extreme (i.e., further out in the left

tail) than what we obtained, assuming H0 is true.

b) twice the area under the curve to the same side of the value of the test statistic as is

specified in the alternative hypothesis.

c) the probability of obtaining a test statistic more extreme (i.e., further out in the left

tail) than what we obtained, assuming H1 is true.

d) the area under the curve between the mean and the observed value of the test

statistic.

e) None of these.

Revised Spring 2016 Page 9

Use the following to answer questions 26-27:

A medical doctor uses a diagnostic test to determine if her patient has rheumatoid arthritis. The

doctor will prescribe treatment only if she thinks the patient has arthritis. In a sense, the doctor is

using a null and an alternative hypothesis to decide whether or not to administer treatment. The

hypotheses might be stated as:

H0

: The person does not have arthritis (no arthritis)

H1

: The person has arthritis.

The grid presents the four possible combinations of the doctor’s decision and the “true” situation.

There are two statements in each cell, one about the doctor’s decision and one about the patient’s

actual condition (no arthritis OR arthritis). For each statement, circle the word in parentheses

that makes the statements match the doctor’s decision and the true state of the patient. There are

eight statements all together, so be sure to make a selection for each one.

26. What are the consequences of the doctor committing a Type I Error?

a) The doctor diagnoses the patient as having no arthritis when the patient actually

does have arthritis.

b) The doctor diagnoses the patient as having arthritis when the patient does not

actually have arthritis.

c) The doctor diagnoses the patient as having arthritis when the patient actually does

have arthritis.

d) The doctor diagnoses the patient as having no arthritis when the patient really does

not have arthritis.

e) None of these.

Revised Spring 2016 Page 10

27. What are the consequences of the doctor committing a Type II Error?

a) The doctor diagnoses the patient as having arthritis when the patient actually does

have arthritis.

b) The doctor diagnoses the patient as having arthritis when the patient does not

actually have arthritis.

c) The doctor diagnoses the patient as having no arthritis when the patient really does

not have arthritis.

d) The doctor diagnoses the patient as having no arthritis when the patient actually

does have arthritis.

e) None of these.

28. Which, if any, of the following tests would be used for the following scenario?

Which takes less time to travel to school –– car or public transportation? We select a

random sample of 45 RHC students and compare their travel time to school for both

types of commute.

a) ANOVA.

b) Difference of two means, independent samples.

c) 2 ? goodness of fit test.

d) Difference of two means, matched pairs design.

e) None of these.

29. Which, if any, of the following tests would be used for the following scenario?

A dentist wonders if consumption of acidic drinks (soft drinks, orange juice, etc.) may

be a factor in loose cement on children’s braces. The dentist checks the cement bonds of

35 randomly selected patients who do not drink soda, and 35 patients who do drink

soda.

a) ANOVA.

b) 2 ? goodness of fit test.

c) Difference of two means, matched pairs design.

d) Difference of two means, independent samples.

e) None of these.

Revised Spring 2016 Page 11

30. Which, if any, of the following tests would be used for the following scenario?

Researchers want to determine if the college majors of students change between

admission and graduation. A random sample of 2160 incoming freshmen found the

majors were distributed as follows: Arts, 9%; Education and Social Sciences, 10%;

Humanities, 23%; Business, Finance, and Accounting, 27%; STEM (Science,

Technology, Engineering, Mathematics), 31%. A random sample of 2092 students taken

at graduation (same campus) revealed the distribution was: Arts, 15%; Education and

Social Sciences, 19%; Humanities, 19%; Business, Finance, and Accounting, 21%;

STEM (Science, Technology, Engineering, Mathematics), 26%.

a) ANOVA.

b) Difference of two means, independent samples.

c) 2 ? goodness of fit test.

d) Difference of two means, matched pairs design.

e) None of these.

31. Which, if any, of the following tests would be used for the following scenario?

A researcher wanted to determine if the political inclination of people had an impact on

how they view media bias. A random sample of 1,180 adults yielded the following data.

Subjects were asked to self-identify regarding their political worldview, and then they

were asked (on a rotating basis) how they viewed the media. The number of individuals

responding is recorded in the contingency table.

a) Difference of two means, independent samples.

b) ANOVA.

c) Difference of two means, matched pairs design.

d) 2 ? goodness of fit test.

e) None of these.

Revised Spring 2016 Page 12

About right Biased toward

conservatives

Democrat 73 223 70

Independent 274 127 71

Republican 257 68 17

Political affiliation/

Media coverage is:

Biased toward

liberals

32. Which, if any, of the following tests would be used for the following scenario?

Among a random sample of college-age students, 6% of the 473 men said they had been

adopted, compared to only 4% of the 552 women. Does this indicate a significant

difference between adoption rates of males and females in college-age students?

a) Difference of two means, matched pairs design.

b) Difference of two means, independent samples.

c) ANOVA.

d) 2 ? goodness of fit test.

e) None of these.

Use the following to answer questions 33-35:

Seven students were randomly selected to test the effectiveness of a refresher course for a

placement exam. Their scores on the placement exam before and after the refresher course are

given in the table below.

Student A B C D E F G

Before 35 48 75 38 79 45 83

After 45 63 81 35 72 67 82

33. Find a 98% confidence interval for the mean difference, ?d After Before ? ? ? ? .

a) ? ? ?15.17,3.17 d) ? ? ?3.166,15.166

b) ? ? ?18.38,6.38 e) None of these.

c) ? ? ?6.382,18.382

34. What is the p-value if we test the claim that 0 ?d ? (recall, ?d After Before ? ? ? ? )? Use

? ? 0.02 ; round your answer to four places.

a) 0.0639 b) 0.0435 c) 0.0893 d) 0.0021 e) None of these.

35. What is the value of the test statistic if we test the claim that 0 ?d ? (recall,

?d After Before ? ? ? ? )? Use ? ? 0.02 ; round your answer to four places.

a) 1.3712 b) ?3.5124 c) 1.6328 d) ?1.5228 e) None of these.

Revised Spring 2016 Page 13

Use the following to answer questions 36-39:

A consumer wondered if there was any difference between the useful lifetime of generic

batteries and more expensive brand-name batteries. On one shopping trip she purchased a

package of generic AA batteries and another package of brand-name AA batteries for use in the

game controller remotes that her children play with. She put only generic batteries in one remote,

and only brand-name batteries in the other remote, and kept a record of how long each remote

was able to go before needing new batteries. The times (in minutes) between battery

replacements for each remote are recorded in the table below. Assume that battery lifetime is

normally distributed.

Generic battery lifetime Brand-name battery lifetime

199 175 148 178 237 231 185 216

217 175 172 175 188 214 195 197

191 205 164 204 194 177 226 201

36. Which of the following tests, if any, could be used to determine if there is any

difference between generic and brand-name battery lifetimes?

a) Difference of two means, matched pairs design.

b) Homogeneity of proportions.

c) ANOVA.

d) 2 ? Goodness of fit

e) None of these.

37. Using the data given above, if you test for a difference in the mean lifetimes of the

generic vs. brand-name batteries using the appropriate statistical test, what is the

alternative hypothesis you would use?

a) 11 2 H : ? ? ? d) 1 : 0 H ?d ?

b) 11 2 H : ? ? ? e) None of these.

c) 11 2 H : ? ? ?

38. Using the data given above, if you test for a difference in the mean lifetimes of the

generic vs. brand-name batteries using the appropriate statistical test, what is the value

of the test statistic? Round your answer to three places.

a) t ? 2.344 b) t ? 2.911 c) t ? ?2.487 d) t ? ?2.689 e) None of these.

Revised Spring 2016 Page 14

39. Using the data given above to obtain the appropriate 98% confidence interval, which of

the following (if any) best expresses our conclusion regarding generic vs. brand-name

AA battery life?

a) The confidence interval contains zero, which suggests we are 98% confident that

there is a significant difference in the lifetimes of generic vs. brand-name AA

batteries.

b) The confidence interval does not contain zero, which suggests we are 98%

confident that there is a significant difference in the lifetimes of generic vs. brandname

AA batteries.

c) The confidence interval contains zero, which suggests we are 98% confident that

there is no significant difference in the lifetimes of generic vs. brand-name AA

batteries.

d) The confidence interval does not contain zero, which suggests we are 98%

confident that there is no significant difference in the lifetimes of generic vs. brandname

AA batteries.

e) None of these.

Use the following to answer questions 40-43:

A recent survey of local college students yielded the following data. Students were randomly

selected, and then offered a chance to win a cash prize if they answered a few questions. One

question they were asked had to do with the impact of the recent shutdown of the Federal

Government: “Did the recent (Fall 2013) shutdown of the Federal Government have a significant

impact?” In addition, students were asked to identify which political group they most closely

identified with: Democratic Party, Independent, Republican Party.

Politics/

Significant impact

Democrats/

Left-leaning

Independent/

Centrist

Republicans

Right-leaning Total

Yes 265 273 148 686

No 71 114 82 267

Total 336 387 230 953

40. What is the alternative hypothesis for the test?

a) 1 : H i j p p ? for i j ? (i.e., at least one of the proportions is different).

b) 1 : H ?i j ? ? for i j ? (i.e., the means are the same).

c) 1 : H i j p p ? for i j ? (i.e., the proportions are the same).

d) 1 : H ?i j ? ? for i j ? (i.e., at least two of the means are different).

e) None of these.

Revised Spring 2016 Page 15

41. Find the expected count for the cell which lies at the intersection of the Yes row and the

Democrat/Leans Left column. Round your answer to three places.

a) 242.562 b) 94.136 c) 240.127 d) 241.864 e) None of these.

42. What is the value of the test statistic for this situation? Round your answer to four

places.

a) 14.8989 b) 14.8725 c) 14.9847 d) 14.9465 e) None of these.

43. Which of the following best expresses the conclusion of the test, in practical terms?

a) The proportions of people who believe the shutdown was significant/insignificant

are more or less equal.

b) Yes, there is an association between perspective on the shutdown and political

affiliation.

c) The proportions of people who believe the shutdown was significant/insignificant

are more or less unequal.

d) No, there is no association between perspective on the shutdown and political

affiliation.

e) None of these.

44. A running coach wanted to see whether runners ran faster after eating spaghetti the

night before. A group of six runners was randomly chosen for this study. Each ran a 5

kilometer race after having a normal dinner the night before, and then a week later,

reran the same race after having a spaghetti dinner the night before. The times for their

races are shown in the table below. What is the value of the test statistic?

a) 1.03 b) 2.53 c) 1.31 d) 0.53 e) None of these.

Revised Spring 2016 Page 16

999 s 984 s 1008 s 969 s 1015 s 995 s

Spaghetti

Dinner

992 s 979 s 1005 s 968 s 1016 s 998 s

Runner 1 Runner 2 Runner 3 Runner 4 Runner 5 Runner 6

Regular

Dinner

Use the following to answer questions 45-50:

On the Web site BeerAdvocate.com, users are able to rate beers on the basis of appearance,

smell, taste, and so forth. The scores in each category are combined to give an overall score for

each beer, which ranges from 0 to 5. The Web site also shows the number of times each beer has

been reviewed. The BeerAdvocate.com scores for a random selection of the most-frequently

reviewed beers in four different styles/types of beer are given below in the table:

Randomly selected BeerAdvocate.com scores

West Coast Style

DIPA

Russian Imperial

Stout Dopplebock Saison

Farmhouse Ale

4.28 4.36 4.35 4.16

4.64 4.37 3.89 4.19

4.52 4.16 3.93 4.15

4.32 4.37 3.91 4.32

4.73 4.22 4.21 4.12

4.05 4.6 3.92 4

4.38 4.27 3.98 3.81

4.22 4.18 3.74 3.86

4.18 4.14 3.67 3.79

4.35 4.24 4.24 4.29

4.23 4.23 4.06 4.85

4.32 4.35 4.07 4.83

4.14 4.49 4.03 4.52

4.11 3.98 4.08 4.49

4.09 4.15 3.94 4.63

4.25 4.3 3.57 4.42

4.08 3.93 3.88 4.43

4.17 4.35 3.75 4.39

4.04 3.8 3.46 3.8

4.52 3.93 3.58 3.9

45. If we want to test whether the mean BeerAdvocate.com scores from the four different

beer styles are not the same, which (if any) of the following alternative hypotheses

would we use?

a) 11 2 3 4 H : ? ??? ???

b) 1 : H ?i j ? ? for i j ? (at least one of the means differs from the others)

c) 1 : H i j p p ? for i j ? (at least one of the categories differs from the others)

d) 1 : H ?i j ? ? for i j ? (none of the means differs from the others)

e) None of these.

Revised Spring 2016 Page 17

46. Using the data given above, if you use the appropriate built-in function to test whether

the BeerAdvocate.com scores from the four different beer styles are not the same, which

of the following could be your test statistic? Round your answer(s) to four places

maximum.

a) 9.7218 b) 9.5532 c) 9.8741 d) 9.6859 e) None of these.

47. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the critical value we

would need in order to run this test, if we test at the ? ? 0.05 level of significance?

a) 3.737 b) 3.791 c) 3.685 d) 3.633 e) None of these.

48. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the test statistic from

Tukey’s Test when you compare the means of West Coast Style DIPA and Saison?

Round your answer to three places.

a) 0.615 b) 0.587 c) 0.628 d) 0.603 e) None of these.

49. Suppose we end up rejecting the null hypothesis and need to perform Tukey’s Test to

determine which of the means differ from the others. What is the test statistic from

Tukey’s Test when you compare the means of Russian Imperial Stout and Dopplebock?

Round your answer to three places.

a) 5.581 b) 5.619 c) 5.632 d) 5.725 e) None of these.

50. Suppose we end up rejecting the null hypothesis and we perform Tukey’s Test to

determine which of the means differ from the others. What is the result from this test?

[Hint: see page 642 in your text, and/or solutions to other problems from section 13.2.]

a) ?1234 ??? d) ?1243 ???

b) ?1234 ??? e) None of these.

c) ?1234 ???

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