Independent Random Samples of the Scores of 10 Daily Quizzes $\mu$

question 31

Essay

Independent random samples of the scores of 10 daily quizzes from day students and 15 quizzes from evening students were gathered. It was decided to use the Mann-Whitney-Wilcoxon test to determine if there is a significant difference between the scores of the two groups of students.
a.Provide the hypotheses for this test.
b.Compute the mean $\mu$ _T.
c.Compute the standard deviation $\sigma$ _T.
d.The sum of the ranks for the day students was determined to be 184.5. Compute the test statistic Z.
e.Use $\alpha$ = 0.05 and test to determine if there is a significant difference in the populations of the scores of the two groups.

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Definitions:

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