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

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. What is the decision rule with α = 0.05?

d. Calculate the value of the test statistic Z.

e. What is the conclusion?

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