a. Find for each of the following values of the population mean: 74,72,70,68, and 66. b.

Question:

a. Find β for each of the following values of the population mean: 74,72,70,68, and 66.
b. Plot each value of B you obtained in part a against its associated population mean. Show B on the vertical axis and µ on the horizontal axis. Draw a curve through the five points on your graph.
c. Use your graph of part b to find the approximate probability that the hypothesis test will lead to a Type II error when µ = 73.
d. Convert each of the β values you calculated in part a to the power of the test at the specified value of LL. Plot the power on the vertical axis against µ on the horizontal axis. Compare the graph of part b to the power curve of this part.
e. Examine the graphs of parts b and d. Explain what they reveal about the relationships among the distance between the true mean µ and the null hypothesized mean /xo, the value of B, and the power.
For Information: Refer to Exercise 7.99.