Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. Find the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs. (a) Sketch the graph, labeling and scaling the horizontal axis. Shade the region corresponding to the probability. 0.4 1.6 2.8 4 5.2 6.4 7.6 0.4 1.6 2.8 4 5.2 6.4 7.6 0.4 1.6 0.4 1.6 2.8 4 3.2 6.4 7.6 6.4 7.6 WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probabilit to four decimal places.) P( )-C

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