Open the applet entitled Sampling Distribution. On the pulldown menu to the right of the top graph, select Binary.

a. Run the applet for the sample size n = 10 and the LO6 number of samples N = 1000. Observe the shape of the graph of the sample proportions, and record the mean, median, and standard deviation of the sample proportions.

b. How does the mean of the sample proportions compare with the mean m = 0.5 of the original distribution?

c. Use the formula s = 1np11 - p2, where n = 1 and p = 0.5, to compute the standard deviation of the original distribution. Divide the result by 110, 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 proportions suggests that the distribution may be approximately normal.

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