A data set includes data from student evaluations of courses. The summary statistics are n=84, x=3.68, s=0.69. Use a 0.05 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.

Null and alternative hypotheses:

H0:=3.75

H1:3.75

What is the test statistic? (Round to two decimal places as needed)

z=______

What is the P-value?

P-value=______