Dr. S. Oberman has the research hypothesis that drivers who have consumed one drink are actually slightly better (score higher on a driving test) than drivers who have had no alcohol. (One drink, she believes, makes them relaxed and not as nervous.) She tests this by having subjects take a standard driving test. We know that completely sober, college-student drivers score an average of 75 on this test, where high scores mean better driving. Lon Sum, Dr. S. Oberman's research assistant, draws a random sample of 64 from a population of college students, and gives them one drink. In this sample, the mean score on the test is 78, and the standard deviation is 24. After discussing it with her colleague, Professor Vi Russ, Dr. Oberman sets her alpha level at .05. Given the results of her study, what decision should she make? Reject the null hypothesis, since the mean is above 75 O Reject the null hypothesis, since the Z-score is greater than 0 O Reject the null hypothesis, since the Z-score is greater than the critical value when alpha is at .05 Do not reject the null hypothesis; the results are likely due to chance factors.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Dr. S. Oberman has the research hypothesis that drivers who have consumed one drink are actually slightly better (score higher on a
driving test) than drivers who have had no alcohol. (One drink, she believes, makes them relaxed and not as nervous.) She tests this by
having subjects take a standard driving test. We know that completely sober, college-student drivers score an average of 75 on this test,
where high scores mean better driving.
Lon Sum, Dr. S. Oberman's research assistant, draws a random sample of 64 from a population of college students, and gives them one
drink. In this sample, the mean score on the test is 78, and the standard deviation is 24.
After discussing it with her colleague, Professor Vi Russ, Dr. Oberman sets her alpha level at .05. Given the results of her study, what
decision should she make?
Reject the null hypothesis, since the mean is above 75
Reject the null hypothesis, since the Z-score is greater than 0
Reject the null hypothesis, since the Z-score is greater than the critical value when alpha is at .05
Do not reject the null hypothesis; the results are likely due to chance factors.
Transcribed Image Text:Dr. S. Oberman has the research hypothesis that drivers who have consumed one drink are actually slightly better (score higher on a driving test) than drivers who have had no alcohol. (One drink, she believes, makes them relaxed and not as nervous.) She tests this by having subjects take a standard driving test. We know that completely sober, college-student drivers score an average of 75 on this test, where high scores mean better driving. Lon Sum, Dr. S. Oberman's research assistant, draws a random sample of 64 from a population of college students, and gives them one drink. In this sample, the mean score on the test is 78, and the standard deviation is 24. After discussing it with her colleague, Professor Vi Russ, Dr. Oberman sets her alpha level at .05. Given the results of her study, what decision should she make? Reject the null hypothesis, since the mean is above 75 Reject the null hypothesis, since the Z-score is greater than 0 Reject the null hypothesis, since the Z-score is greater than the critical value when alpha is at .05 Do not reject the null hypothesis; the results are likely due to chance factors.
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