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...

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Extracted text: 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:µ = 175 millimeters versus Hj:µ>175 millimeters, using the results of n = 10 samples. (a) Find the type I error probability a if the critical region is x>185. (b) What is the probability of type II error if the true mean foam height is 185 millimeters? (c) Find B for the true mean of 195 millimeters.


Extracted text: a α-0.057053, ь.В — 0.5, c. B = 0.057053.