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In: Statistics and Probability

For problems #11 to #15, test the given claim. Identify the null hypothesis and alternative hypothesis,...

For problems #11 to #15, test the given claim. Identify the null hypothesis and alternative hypothesis, test statistic, P-value, then state the conclusion about the null hypothesis, and final conclusion that addresses the original claim. Graphing calc encouraged for problem.

15. The data set of “Course Evaluations” provides the following summary statistics of female and male professors. Use a 0.05 significance level to test the claim that two samples of course evaluation scores are from populations with the same mean.

Female Professors

n = 40

x=3.79

s = 0.51

Male Professors

n = 53

x=4.01

s = 0.53

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