Open the applet entitled Sampling Distributions. On the pulldown menu to the right of the top graph, select Uniform. The box to the left of the top graph displays the population mean, median, and standard deviation of the original distribution. LO6

a. Run the applet for the sample size n = 30 and the number of samples N = 1000. Observe the shape of the graph of the sample means, and record the mean, median, and standard deviation of the sample means.

b. How does the mean of the sample means compare with the mean of the original distribution?

c. Divide the standard deviation of the original distribution by 130, the square root of the sample size used in the sampling distribution. How does this result compare with the standard deviation of the sample proportions?

d. Explain how the graph of the distribution of sample means suggests that the distribution may be approximately normal.

e. Explain how the results of parts b–d illustrate the Central Limit Theorem.