28) Suppose the scores on an exam have a mean of 75 with a standard deviation of 8. If one student has a test result with a z-score of -1.5, and a second student has a test result with a z-score of 2.0, how many points higher was the second student's result than that of the first? (A) 3.5 (B) 4 (C) 12 (D) 16 (E) 28

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28) Suppose the scores on an exam have a mean of 75 with a standard deviation of 8. If one student has a test result with a
Z-score of -1.5, and a second student has a test result with a z-score of 2.0, how many points higher was the second
student's result than that of the first?
(A) 3.5
(B) 4
(C) 12
(D) 16
(E) 28
29) A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard
deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
(A) 82
(B) 88
(C) 100
(D) 112
(E) 118
30) An advantage to using surveys as opposed to experiments is that
(A) surveys are generally cheaper to conduct.
(B) it is generally easier to conclude cause and effect from surveys.
(C) surveys are generally not subject to bias.
(D) surveys involve use of randomization.
(E) surveys can make use of stratification.
31) Suppose X and Y are independent random variables. The variance of X is equal to 16; and the variance of Y is equal
to 9. Let Z-X - Y. What is the standard deviation of Z?
(B) 5.00
(A) 2.65
(E) It is not possible to answer this question, based on the information given.
(C) 7.00
(D) 25.0
32) A company wishes to survey what people think about a new product it plans to market. They decide to randomly
sample from their customer database as this includes phone numbers and addresses. This procedure is an example of
which type of sampling?
(A) Cluster
(B) Convenience
(C) Simple random
(D) Stratified
(E) Systematic
33) The back-to-back stemplot on the right shows the number of books read in a
year by a random sample of college and high school students. Which of the
following statements are true?
College
High school
I. One college student read seven books.
II. The college median is equal to the high school median.
III. The mean is greater than the median in both groups.
70
366 10035
1234 2 12446
6889 31 89
28 4 01
(A) I only
(B) Il only
(C) I and III only
(D) II and III only
(E) I, II, and II
5
3 7
34) A bank wishes to survey its customers. The decision is made to randomly pick ten customers who just have checking
accounts, ten customers who just have savings accounts, and ten customers who have both checking and savings accounts.
This procedure is an example of which type of sampling?
(A) Cluster
(B) Convenience
(C) Simple random
(D) Stratified
(E) Systematic
35) Two antidepressants are to be compared in the treatment of elderly patients in a nursing home. Each patient has his or
her own room, some with spectacular views of the ocean. The experimental design is to create homogeneous blocks with
respect to window view. How should randomization be used for a randomized block design?
(A) Within each block, randomly pick half the patients to receive each antidepressant.
(B) Randomly pick half of all patients to receive cach antidepressant, but then analyze the results separately by blocks.
(C) Randomly choose which blocks will receive which antidepressants.
(D) Randomly choose half the blocks to receive each antidepressant for a given time period; then for the same time period
switch the medication in each block and compare the results.
(E) For ethical reasons, allow patients to choose which medication they prefer taking, but them randomly assign patients
to the blocks.
36) Which of the following statements is incorrect?
(A) Voluntary response samples often underrepresent people with strong opinions.
Transcribed Image Text:28) Suppose the scores on an exam have a mean of 75 with a standard deviation of 8. If one student has a test result with a Z-score of -1.5, and a second student has a test result with a z-score of 2.0, how many points higher was the second student's result than that of the first? (A) 3.5 (B) 4 (C) 12 (D) 16 (E) 28 29) A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test? (A) 82 (B) 88 (C) 100 (D) 112 (E) 118 30) An advantage to using surveys as opposed to experiments is that (A) surveys are generally cheaper to conduct. (B) it is generally easier to conclude cause and effect from surveys. (C) surveys are generally not subject to bias. (D) surveys involve use of randomization. (E) surveys can make use of stratification. 31) Suppose X and Y are independent random variables. The variance of X is equal to 16; and the variance of Y is equal to 9. Let Z-X - Y. What is the standard deviation of Z? (B) 5.00 (A) 2.65 (E) It is not possible to answer this question, based on the information given. (C) 7.00 (D) 25.0 32) A company wishes to survey what people think about a new product it plans to market. They decide to randomly sample from their customer database as this includes phone numbers and addresses. This procedure is an example of which type of sampling? (A) Cluster (B) Convenience (C) Simple random (D) Stratified (E) Systematic 33) The back-to-back stemplot on the right shows the number of books read in a year by a random sample of college and high school students. Which of the following statements are true? College High school I. One college student read seven books. II. The college median is equal to the high school median. III. The mean is greater than the median in both groups. 70 366 10035 1234 2 12446 6889 31 89 28 4 01 (A) I only (B) Il only (C) I and III only (D) II and III only (E) I, II, and II 5 3 7 34) A bank wishes to survey its customers. The decision is made to randomly pick ten customers who just have checking accounts, ten customers who just have savings accounts, and ten customers who have both checking and savings accounts. This procedure is an example of which type of sampling? (A) Cluster (B) Convenience (C) Simple random (D) Stratified (E) Systematic 35) Two antidepressants are to be compared in the treatment of elderly patients in a nursing home. Each patient has his or her own room, some with spectacular views of the ocean. The experimental design is to create homogeneous blocks with respect to window view. How should randomization be used for a randomized block design? (A) Within each block, randomly pick half the patients to receive each antidepressant. (B) Randomly pick half of all patients to receive cach antidepressant, but then analyze the results separately by blocks. (C) Randomly choose which blocks will receive which antidepressants. (D) Randomly choose half the blocks to receive each antidepressant for a given time period; then for the same time period switch the medication in each block and compare the results. (E) For ethical reasons, allow patients to choose which medication they prefer taking, but them randomly assign patients to the blocks. 36) Which of the following statements is incorrect? (A) Voluntary response samples often underrepresent people with strong opinions.
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