Independent random samples of 100 observations each are chosen from two normal populations with the following means and standard deviations:

a. Give the mean and standard deviation of the sampling distribution of x1.

b. Give the mean and standard deviation of the sampling distribution of x2.

c. Suppose you were to calculate the difference 1x1 - x22 between the sample means. Find the mean and standard deviation of the sampling distribution of 1x1 - x22.

d. Will the statistic 1x1 - x22 be normally distributed?
Explain.

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Population 1 = 16 915 Population 2 12 H2 2=4