Hypothesis Testing — Unit test Answers

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21
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The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean = 18 sec and standard deviation = 1.2 sec. What percentage of the runners have times less than 14.4 sec?

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A
0.15%
B
0.30%
C
0.60%
D
2.50%
22
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Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

A
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.
B
E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.
C
E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.
D
E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.
23

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

A
No, it is not biased. All residents of the town will have the opportunity to respond.
B
Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.
C
No, it is not biased. All residents who are surveyed will want to respond.
D
Yes, it is biased. Only certain parts of the town were surveyed.
24

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which statement must be true?

A
Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
B
Thanh’s grade is 2.5 points below the mean of the test grades.
C
Thanh’s grade is 2.5 standard deviations above the mean of the test grades.
D
Thanh’s grade is 2.5 points above the mean of the test grades.
25

A local newspaper compiles data on the number of days, X, people in a neighborhood receive the newspaper. The probability distribution for the data is shown in the table below. What is the probability that a randomly chosen person receives the newspaper at least one day per week?

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A
16%
B
33%
C
41%
D
83%
26

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

A
systematic random sampling
B
simple random sampling
C
stratified sampling
D
convenience sampling

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