Refer to Exercise 9.75. a. Calculate and 1 - if the true mean ppm of PCBs is 6 ppm. b. Calculate b and

Refer to Exercise 9.75.
a. Calculate β and 1 - β if the true mean ppm of PCBs is 6 ppm.
b. Calculate b and 1 - β if the true mean ppm of PCBs is 7 ppm.
c. Find the power, 1 - β, when µ = 8, 9, 10, and 12. Use these values to construct a power curve for the test in Exercise 9.75.
d. For what values of µ does this test have power greater than or equal to .90?
Exercise 9.75
Polychlorinated biphenyls (PCBs) have been found to be dangerously high in some game birds found along the marshlands of the southeastern coast of the United States. The Federal Drug Administration (FDA) considers a concentration of PCBs higher than 5 parts per million (ppm) in these game birds to be dangerous for human consumption. A sample of 38 game birds produced an average of 7.2 ppm with a standard deviation of 6.2 ppm. Is there sufficient evidence to indicate that the mean ppm of PCBs in the population of game birds exceeds the FDA's recommended limit of 5 ppm? Use α = .01.