A data set includes data from student evaluations of courses. The summary statistics are n=87​, x=3.69​, s=0.53. Use a 0.10 significance level to test the claim that the population of student course...

A data set includes data from student evaluations of courses. The summary statistics are

Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim

a) What are the null and alternative hypotheses?

b) Determine the test statistic.

c) Determine the P-value

d) __(fail to reject/reject). There is (not sufficient/sufficent) evidence to conclude that the mean population of student course evaluations is equal to 3.75 (is/is not) correct.