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Carmine reads an article that says that male college students study less than female college students. Carmine wonders if this is really so. He asks 20 randomly selected students-10 males and 10 females-from his coed dorm to record their study times for a period of 4 weeks. Here are the students' average weekly study times, to the nearest half-hour:
13.5
15.5
6.5
10.0
8.0
10.5
14.5
7.0
12.5
13.0
16.0
12.0
11.0
9.5
8.5
11.5
a. Is the research hypothesis in this study directional or nondirectional?
b. State the research hypothesis.
c. you t and compare it with the tabled critical t at the .05 a level. Can you reject the null hypothesis?
d. Do you think these samples are representative of all college males and females? To what populations can Carmine rightfully infer the results?
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Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
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