Use the Sample Means applet described in Section 9.11 and available on the companion website, https://www.cengage.com/statistics/Utts4e. The applet selects random samples from a bell-shaped population in which the mean μ = 8 and the standard deviation σ = 5.
This exercise compares sample means for random samples of n = 10 and random samples of n = 100.
a. Use the applet to generate ten different random samples of n = 10. List the ten sample means, and identify the lowest and highest values in the list.
b. Use the applet to generate ten different random samples of n = 100. List the ten sample means, and identify the lowest and highest values in the list.
c. Compare the results of parts (a) and (b). What is indicated about the effect of sample size on the variation among sample means for different samples?