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Calculate the mean and standard deviation of the

The following data are provided for two independent samples: W = 545, n₁ = 25, and n₂ = 25. Suppose the distribution of W is approximately normal.

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

b. Specify the competing hypotheses to determine whether the median of Population 1 differs from the median of Population 2.

c. Calculate the value of the test statistic Z.

d. Calculate the p-value. e. At the 10% significance level, what is the conclusion?

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