In: Statistics and Probability
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 25 mm. The company wishes to test Ho:u = 175 mm versus H¡:u > 175 mm, using the results of =15 samples.
(a) Find the type I error probability (alpha) if the critical region is x>185.
(b) What is the probability of type II error if the true mean foam height is 185 mm?
(c) Find B for the true mean of 195 mm.
(c) Find B for the true mean of 195 mm.