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.
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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 ???

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