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 220 milliliters and a standard deviation of 20 milliliters. The machine is checked periodically by taking a sample of 11 drinks and computing the average content. If X falls in the interval 209 < X < 231, the machine is thought to be operating satisfactorily; otherwise, we conclude that u + 220 milliliters. (a) Find the probability of committing a type I error when H = 220 milliliters. (b) Find the probability of committing a type Il error when µ = 235 milliliters.

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