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 Ho u = 175 millimeters versus H1: µ > 175 millimeters, using the results of n =10 samples. (a) Find the type I error probability a if the critical region is >185. (b) What is the probability of type Il error if the true mean foam height is 185 millimeters?

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