The Monthly Sales Records of Two Branches of a Department $\mu$

Essay

The monthly sales records of two branches of a department store (Branch A and Branch B) over the last year (12 months) were gathered. It was decided to use the Mann-Whitney-Wilcoxon test to determine if there has been a significant difference between the sales of the two branches.
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 branch A 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 sales of the two branches.