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In: Statistics and Probability

A data set includes data from student evaluations of courses. The summary statistics aren=88​, overbar x=4.08​,...

A data set includes data from student evaluations of courses. The summary statistics aren=88​, overbar x=4.08​, s=0.67. Use a 0.05 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.

What are the null and alternative​ hypotheses?

A. H0​: μ≠4.25 and H1​: μ=4.25

B. H0​: μ=4.25 and H1​: μ<4.25

C. H0​: μ=4.25 and H1​: μ>4.25

D. H0​: μ=4.25 and H1​: μ≠4.25

Determine the test statistic ____(round to two decimals)

State the final conclusion that addresses the original claim.

Reject

Fail to reject

Upper H 0H0.

There is ___ (not sufficient or sufficient) evidence to conclude that the mean of the population of student course evaluations ____ (is greater than, is less than) 4.25.

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