This exercise concerns possible sample means for random samples of n 5 75.

a. Use the applet to generate 500 different random samples of n 5 75 observations. What is the approximate shape of the resulting histogram of sample means?

b. Approximately, what were the smallest and largest values among the sample means in the 500 samples you generated?

c. For random samples of n 5 75, use the Empirical Rule to find the interval of values into which the sample mean will fall about 99.7% of the time. Compare the interval to your answer for part (b).

d. Describe any difference between the histograms created for part

(a) of this exercise and part

(a) of Exercise 9.127.

(If you have not already generated the histogram for part

(a) of Exercise 9.127, do so now.)