Use the applet entitled Hypotheses Test for a Mean to investigate the effect of the underlying distribution on the proportion of Type II errors. For this exercise, take n = 100, mean = 50, LO9 standard deviation = 10, null mean = 52, and alternative 6 .

a. Select the normal distribution and run the applet several times without clearing. What happens to the proportion of times the null hypothesis is rejected at the

.01 level as the applet is run more and more times? Is this what you would expect? Explain.

b. Clear the applet and then repeat part

a, using the rightskewed distribution. Do you get similar results? Explain.

c. Describe the effect that the underlying distribution has on the probability of making a Type II error.