Question

# A data set includes data from student evaluations of courses. The summary statistics are n=91, x...

A data set includes data from student evaluations of courses. The summary statistics are n=91, x =3.67, s=0.68 Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75 , 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.

From the given information,

To test:-

Null Hypothesis(Ho): μ = 3.75

Alternative Hypothesis(Ha): μ ≠ 3.75
By using calculator,

Test statistic= -1.1223

P-value= 0.2648

As P-value > 0.01

Failed to reject Ho.

Hence, μ = 3.75

Conclusion: There is enough evidence to support the claim that  the population of student course evaluations has a mean equal to 3.75

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