data set includes data from student evaluations of courses. The summary statistics are n=83​, x=3.93​, s=0.56   Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. 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.

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A data set includes data from student evaluations of courses. The summary statistics are

n=83​,
x=3.93​,
s=0.56
 
Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. 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.
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