Question
(Textbook, ch.5, #22). Among private universities in the United States, the mean ratio of students to professors is 35.2 (i.e. 35.2 students for each professor)with
(Textbook, ch.5, #22). Among private universities in the United States, the mean ratio of students to professors is 35.2 (i.e. 35.2 students for each professor)with a standard deviation of 8.8.
a. What is the probability that in a random sample of 50 private universities the mean student-to-professor exceeds 38?
b. Suppose a random sample of 50 universities is selected and the observed mean student-to-professor ratio is 38.Is there evidence that the reported mean ratio actually exceeds 35.2?use alpha=0.05
c. Suppose a random sample of 50 universities is selected and the observed mean student-to-professor ratio is 38. Is there evidence that the reported mean ratio differs from 35.2? Use = 0:05.
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