# Question 8) (3 pts) 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 H : u>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 II error if the true foam height is 185 millimeters? c) Find ß for the true mean of 195 millimeters.

MKSAFW The Asker · Probability and Statistics

Transcribed Image Text: 8) (3 pts) 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 H : u>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 II error if the true foam height is 185 millimeters? c) Find ß for the true mean of 195 millimeters.
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Transcribed Image Text: 8) (3 pts) 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 H : u>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 II error if the true foam height is 185 millimeters? c) Find ß for the true mean of 195 millimeters.