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

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.