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 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph. X X 3.1 3.4 3.7 4 4.3 4.6 4.9 3.1 3.4 3.7 4 4.3 4.6 4.9 X 3.1 3.1 3.41 3.7 4 4.3 4.6 4.9 3.7 4 3.4 4.3 4.6 4.9 (b) Give the 95th percentile. (Round your answer to two decimal places.) 5.97 X