Chapter 21, Problem 24E

(a)

To determine

To explain what is meant by the power of the test the inspectors conduct.

Explanation of Solution

It is given in the question that production managers on an assembly line must monitor the output to be sure that the level of detective products remains small. They periodically inspect a random sample of the items produced. Thus, the power of the test the inspector conduct means that the probability of deciding that there are too many defects when this is true.

(b)

To determine

To explain what are the advantages and disadvantages of such a change.

Explanation of Solution

It is given in the question that production managers on an assembly line must monitor the output to be sure that the level of detective products remains small. They periodically inspect a random sample of the items produced. The advantage of such a change is that there will be more power. And the disadvantage is that there will be more work testing.

(c)

To determine

To explain what are the advantages and disadvantages of changing to an alpha level of $1\%$ .

Explanation of Solution

It is given in the question that production managers on an assembly line must monitor the output to be sure that the level of detective products remains small. They periodically inspect a random sample of the items produced. Thus, the advantage of changing to an alpha level of $1\%$ is that there will be smaller Type I error chance. And the disadvantage of changing to an alpha level of $1\%$ is that there will be less power.

(d)

To determine

To explain how will this affect the power of the test.

Answer to Problem 24E

It will increase.

Explanation of Solution

It is given in the question that production managers on an assembly line must monitor the output to be sure that the level of detective products remains small. They periodically inspect a random sample of the items produced. Suppose that as a day passes one of the machine on the assembly line produces more and more items that are defective then, this will affect the power of the test as it will increase because the effect size increases.