Question

A data set includes data from student evaluations of courses. The summary statistics are n=93​, x overbar equals=4.08  sequals=0.65. Use a 0.10 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.

Answer 1

The test hypothesis is


This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized mean value of 30 on either side.
Now, the value of test static can be found out by following formula:


Using Excel's function , the P-value for in an t-test with 92 degrees of freedom can be computed as

We would reject the null hypothesis in favor of the alternative hypothesis because