10. The infamous psychologist, Dr. Visegrips, claims that his secret sleep audio program cause people to become better at basic algebra. “All you have to do," the doctor explains, "is listen to my program while you sleep at night, and you'll be better at algebra in two months". A math teacher at a local high school has expressed interest but demands evidence. Five people are randomly selected from students at the school. They take an algebra skills test, listen to Dr. Visegrips' program for two months while they sleep, and then take a second test. The test scores are shown here. Test scores Person A B C D E Pretest 68 69 74 71 65 Posttest 70 68 75 72 68 Which of the following conditions must be met in order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores? (a) The distribution of both pretest scores and posttest scores must be approximately Normal. (b) The distribution of pretest scores and the distribution of differences (post – pre) must be approximately Normal. (c) Only the distribution of pretest scores must be approximately Normal. (d) Only the distribution of differences (post – pre) must be approximately Normal. (e) All three distributions (pretest, posttest, and the difference) must be approximately Normal.

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10. The infamous psychologist, Dr. Visegrips, claims that his secret sleep audio program cause people to
become better at basic algebra. “All you have to do," the doctor explains, "is listen to my program while you
sleep at night, and you'll be better at algebra in two months". A math teacher at a local high school has
expressed interest but demands evidence. Five people are randomly selected from students at the school.
They take an algebra skills test, listen to Dr. Visegrips' program for two months while they sleep, and then
take a second test. The test scores are shown here.
Test scores
Person
A
B
D
E
65
68
70
Pretest
69
74
71
Posttest
68
75
72
68
Which of the following conditions must be met in order to construct a 99% confidence interval for the true
mean difference in pretest and posttest scores?
(a) The distribution of both pretest scores and posttest scores must be approximately Normal.
(b) The distribution of pretest scores and the distribution of differences (post – pre) must be approximately
Normal.
(c) Only the distribution of pretest scores must be approximately Normal.
(d) Only the distribution of differences (post – pre) must be approximately Normal.
(e) All three distributions (pretest, posttest, and the difference) must be approximately Normal.
Transcribed Image Text:10. The infamous psychologist, Dr. Visegrips, claims that his secret sleep audio program cause people to become better at basic algebra. “All you have to do," the doctor explains, "is listen to my program while you sleep at night, and you'll be better at algebra in two months". A math teacher at a local high school has expressed interest but demands evidence. Five people are randomly selected from students at the school. They take an algebra skills test, listen to Dr. Visegrips' program for two months while they sleep, and then take a second test. The test scores are shown here. Test scores Person A B D E 65 68 70 Pretest 69 74 71 Posttest 68 75 72 68 Which of the following conditions must be met in order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores? (a) The distribution of both pretest scores and posttest scores must be approximately Normal. (b) The distribution of pretest scores and the distribution of differences (post – pre) must be approximately Normal. (c) Only the distribution of pretest scores must be approximately Normal. (d) Only the distribution of differences (post – pre) must be approximately Normal. (e) All three distributions (pretest, posttest, and the difference) must be approximately Normal.
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