Yoonie is a personnel manager in a large corporation. Each month she must review

Question

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. Complete the distributions. (Enter exact numbers as integers, fractions, or decimals.)

(a) X ~ N: ( , )

(b)X ~ N: ( , )

Explanation / Answer

Normal distribution is represented as X ~ N: (mean, variance)

mean = 4 hours

standard deviation = 1.2 hours

variance = (standard deviation)2 = (1.2)2 = 1.44

X ~ N:(4,1.44)

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