# Question

Refer to Exercise 8.153.

a. In the context of the problem, define a Type II error.

b. Calculate b for the test described in part a of Exercise 8.153, assuming that the true mean is µ = 3.1 ppm.

c. What is the power of the test to detect the effluent's departure from the standard of 3.0 ppm when the mean is 3.1 ppm?

d. Repeat parts b and c, assuming that the true mean is 3.2 ppm. What happens to the power of the test as the plant's mean PCB departs farther from the standard?

a. In the context of the problem, define a Type II error.

b. Calculate b for the test described in part a of Exercise 8.153, assuming that the true mean is µ = 3.1 ppm.

c. What is the power of the test to detect the effluent's departure from the standard of 3.0 ppm when the mean is 3.1 ppm?

d. Repeat parts b and c, assuming that the true mean is 3.2 ppm. What happens to the power of the test as the plant's mean PCB departs farther from the standard?

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