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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 4 hours each to do with a population standard deviation of 1.2 hours. Let be the random variable representing the time it takes her to complete one review. Assume is normally distributed. Let be the random variable representing the mean time to complete the 16 reviews. Let be the total time it takes Yoonie to complete all of the month’s reviews. Assume that the 16 reviews represent a random set of reviews.
Complete the distributions.
For each problem below:
Find the probability that one review will take Yoonie from 3.5 to 4.25 hours.
Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs.
Find the 95th percentile for the mean time to complete one month’s reviews.
Find the probability that the sum of the month’s reviews takes Yoonie from 60 to 65 hours.
Find the 95th percentile for the sum of the month’s reviews.
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