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

question 8

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.

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Definitions:

Income Distribution

The way in which total income is shared among the members of an economy.

Insolvent

A financial state where an individual or organization cannot meet its debt obligations as they come due.

Liabilities

Financial obligations or debts that a company owes to outside parties, which are recorded on the right-hand side of the balance sheet.

Creditors

Individuals, organizations, or entities that have lent money or extended credit to another party, and thus are owed repayment of the principal amount plus any applicable interest or charges.