Use the applet entitled Hypotheses Test for a Mean to investigate the effect of the null mean on the probability of making a Type II error. For this exercise, take n = 100, mean = 50, standard deviation = 10, and alternative < with the normal distribution. Set the null mean to 55 and run the applet several times without clearing. Record the proportion of Type II errors that occurred at the .01 level. Clear the applet and repeat for null means of 54, 53, 52, and 51. What can you conclude about the probability of a Type II error as the null mean gets closer to the actual mean? Can you offer a reasonable explanation for this behavior?
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