Question: The following data are provided for two samples drawn from independent populations: W = 700, n 1 = 25, and n 2 = 20. Suppose

The following data are provided for two samples drawn from independent populations: W = 700, n₁ = 25, and n₂ = 20. Suppose the distribution of W is approximately normal.

a. Calculate the mean and the standard deviation of the distribution of W.

b. Specify the competing hypotheses to determine whether the median of Population 1 is greater than the median of Population 2.

c. Calculate the value of the test statistic Z.

d. At the 5% significance level, what is the conclusion to the hypothesis test?

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