Suppose that the caffeine in one tablespoon of Folgers is normally distributed with a mean of 45 mg and a standard deviation of 5.4 mg. A quality control chemist then samples 18 tablespoons and measures the amount of caffeine. a) Fill in the blanks for the sampling distribution of the sample mean of caffeine in the 18 tablespoons. Round to two decimals b) Find the probability that the sample mean of caffeine in the 18 tablespoons exceeds 47 mg. Round to four decimal places. c) Find the probability when the total amount of caffeine in the 18 tablespoons is less than 765 mg. Round to four decimal places.

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