A soft-drink machine at a steak house is regulated so that
Chapter , Problem 6.15(choose chapter or problem)
A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 milliliters. The machine is checked periodically by taking a sample of 9 drinks and computing the average content. If x falls in the interval 191 < x < 209, the machine is thought to be operating satisfactorily; otherwise, we conclude that = 200 milliliters. (a) Find the probability of committing a type I error when = 200 milliliters. (b) Find the probability of committing a type II error when = 215 milliliters.
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