A statistics instructor who teaches a lecture section of

Chapter 6, Problem 7E

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A statistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty with one-tailed hypothesis tests or with two-tailed hypothesis tests. On the next exam, 80 of the students, chosen at random, get a version of the exam with a 10-point question that requires a one-tailed test. The other 80 students get a question that is identical except that it requires a two-tailed test. The one-tailed students average 7.79 points, and their standard deviation is 1.06 points. The two-tailed students average 7.64 points, and their standard deviation is 1.31 points.

a. Can you conclude that the mean score \(\mu_1\) on one tailed hypothesis test questions is higher than the mean score \(\mu_2\) on two-tailed hypothesis test questions? State the appropriate null and alternate hypotheses, and then compute the P-value.

b. Can you conclude that the mean score \(\mu_1\) on one tailed hypothesis test questions differs from the mean score \(\mu_2\) on two-tailed hypothesis test questions? State the appropriate null and alternate hypotheses, and then compute the P-value.

Equation Transcription:

Text Transcription:

mu_1

mu_2

mu_1

mu_2

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