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 populations of sales for the two branches
a. Provide the hypotheses for this test.
b. Compute the mean ?W.
c. Compute the standard deviation ?W.
d. The sum of the ranks for branch A was determined to be 184.5 . Compute the test statistic z.
e. Use ? = .10 and test to determine if there is a significant difference in the populations of the sales of the two branches.
a. H0: The two populations are identical
Ha: The two populations are not identical
b. 150
c. 17.32
d. 1.99
e. p-value = .05 < ? = .10; the null hypothesis is rejected; there is a significant difference in the populations of the sales for the two branches.
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