Adata set includes data from student evaluations of courses.
the summary statistics are n=80, x overbar =4.39, s =2.29.

use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.50.

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.

We fail to reject the null hypothesis at the significance level of 0.05.

Step-by-step explanation:

We have a larga sample size of n = 80, and s = 2.29. We want to test

vs (two-tailed alternative)  

Because we have a large sample, our test statistic is

which is normal standard approximately. We have the observed value

.

The p-value is given by 2P(Z < -0.4296) = (2)(0.3337) = 0.6674 (because of the simmetry of the normal density)

With the significance level , we fail to reject the null hypothesis because the p-value is greater than 0.05.

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