A data set includes data from student evaluations of courses. The summary statistics are n=86, x=4.17, s=0.55. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. 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.

QUESTION 1:

What are the null and alternative hypotheses?

A.

H0:

=4.25

H1:

4.25

B.

H0:

=4.25

H1:

>4.25

C.

H0:

4.25

H1:

=4.25

D.

H0:

=4.25

H1:

<

QUESTION 2:

Determine the test statistic.

QUESTION 3:

Determine the P-value.

QUESTION 4:

State the final conclusion that addresses the original claim.

Reject

Fail to reject

H0.

There is

not sufficient

sufficient

evidence to conclude that the mean of the population of student course evaluations is equal to

4.25

is not

is

correct.