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Yoonie is a personnel manager in a large corporation. Each month she must review 12 of the employees. From past experience, she has found that

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Yoonie is a personnel manager in a large corporation. Each month she must review 12 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 0.9 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let f be the random variable representing the mean time to complete the 12 reviews. Assume that the 12 reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean 2 4 Standard Deviation = 0.9 Sample Size = 12 (b) Complete the distributions. Round all decimals to four decimal places. X~ N v (4 ,0.0675 )

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