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 median of each of the 16
samples, then summarize the sampling distribution of the medians in the format of a table representing the
probability distribution. (iii) Compare the population median to the mean of the sample medians. (iv) Do the
sample medians target the value of the population median? In general, do sample medians make good
estimators of population medians? Why or why not?