Question

A data set includes data from student evaluations of courses. The summary statistics are nequals93​, x overbarequals4.15​, sequals0.59. Use a 0.01 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

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 4.25

H_a : 4.25

Test statistic = t

= ( - ) / s / n

= (4.15 - 4.25) / 0.59 / 93

Test statistic = -1.635

df = 92

P-value = 0.1056

= 0.01

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to conclude that the population of student course

evaluations has a mean equal to 4.25.