A consumer products company is formulating a new shampoo and is interested in foam

Chapter 9, Problem 9-15

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A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test millimeters versus millimeters, using the results of samples. (a) Find the type I error probability if the critical region is . (b) What is the probability of type II error if the true mean foam height is 185 millimeters? (c) Find for the true mean of 195 millimeters.

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