Question

The president of a university claims that the mean time spent partying

by all students at this university is not more than 7.1 hours per week.

A random sample of 45 students taken from this university showed that

they spent an average of 7.7 hours partying the previous week with a

sample standard deviation of 2.5 hours. We would like to test at a 3%

significance level whether the president’s claim is true.

(a) (1 point) What are the null and the alternative hypotheses?

(b) (1 point) Describe the rejection region.

(c) (1 point) What is the distribution of X¯−µ

S/√

n

under H0?

(d) (1 point) Compute the p-value.

(e) (1 point) Do you reject the null hypothesis? Why?​

Answer 1

Answer:

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