Chapter 9, Part E

Table of Contents

Chapter 9, Part E

VII. Calculating the Probability of Type II Errors

A. An Example

The Test

Moving toward a type II error

B. The Power of the Test

If ?=113 hours, and we fail to reject any shipment with a mean over 116.71 hours, what is the probability that we would “accept” Ho?

So the probability of making a type II error, when ?=113 hours, is the area in the tail which equals ?=.0314.

If ? and we correctly reject Ho, there is a (1-?) probability of doing so.

C. Summary

5. Using the sampling distribution of for any value of µ from Ha and the acceptance region from step 4. Compute the probability that is in the acceptance region. This is the ? at the chosen µ.

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