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

H_{0} : = 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.

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