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 (___,___)

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Additional Materials

Answer 1

A) X ~ Normal(mean =4 , s.d.=1.2)

B) in this case X represent mean time than mean remains same but

standard deviation of mean time =S.E.(X-bar) =population s. d. /square root n=1.2/4=0.3

Hence X ~Normal(mean=4 , S. E. (X-bar=0.3) )

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