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