Solve the Problem. -The Ages (In Years) of the Four U.S. Vice Presidents

Essay

Solve the problem.
-The ages (in years) of the four U.S. vice presidents who assumed office after presidential assassinations are
56 (A. Johnson), 51 (C. Arthur), 42 (T. Roosevelt), and 55 (L.B. Johnson). (i) Assuming that 2 of the ages are
randomly selected with replacement, list the 16 different possible samples. (ii) Find the variance of each of the
16 samples, then summarize the sampling distribution of the variances in the format of a table representing the
probability distribution. (iii) Compare the population variance to the mean of the sample variances. (iv) Do the
sample variances target the value of the population variance? In general, do sample variances make good
estimators of population variances? Why or why not?