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A softdrink machine at a local steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 2m milliliters and a standard deviation of 15 milliliters. The machine is checked periodically by taking a sample of '3} drinks and computing the average mntent. [f :7: falls in the interval 191 s: i" s: Elli}, the machine is thought to be operating satisfactorily; otherwise. we conclude that p. f5 20E} milliliters . {a} Find or. Show all your work. {b} Find the probability of committing a I'I'ype II error for the alternative p. = 215. Show all your 1work. {c} Find the power of the test if lat,\" = 215