Question: Repeat Exercise 13 using ranges instead of means. The ages (years) of the four U.S. presidents when they were assassinated in office are 56 (Lincoln),

Repeat Exercise 13 using ranges instead of means.

The ages (years) of the four U.S. presidents when they were assassinated in office are 56 (Lincoln), 49 (Garfield), 58 (McKinley), and 46 (Kennedy).

a. Assuming that 2 of the ages are randomly selected with replacement, list the 16 different possible samples.

b. Find the mean of each of the 16 samples, then summarize the sampling distribution of the means in the format of a table representing the probability distribution. (Use a format similar to Table 6-5 on page 283).

c. Compare the population mean to the mean of the sample means.

d. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? Why or why not?

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