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:

Excess Burden

The cost to society created by market inefficiency, particularly through taxation or other government policies, beyond the immediate financial effects.

Tax Revenue

The income that is gained by governments through taxation, which is used to fund public services and infrastructure.

Total Burden

The complete impact, often financial or economic, borne by an entity or system as a consequence of a particular action or policy.

Partnerships

A lawful business structure involving two or more people who jointly manage and distribute earnings.