• The following data are provided for two samples drawn from independent populations: W = 545, n1 = 25, and n2 = 25. 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 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?