Problem 2 Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 50 tables. Suppose that, unknown to her, the population mean tip percentage is 15% with a standard deviation of 4%. a) Determine the probability that her sample mean tip percentage exceeds 16.4%. (Treat the sample as if it were a random one.) b) If her sample mean tip percentage turns out to be 16.4%, does that provide strong evidence that the population mean tip percentage is actually greater than 15%? Explain your reasoning, including a relevant probability calculation. c) If her sample mean tip percentage turns out to be 14.4%, does that provide strong evidence that the population mean tip percentage is actually less than 15%? Explain your reasoning, including a relevant probability calculation