Yoonie is a personnel manager in a large corporation. Each month she must review 20 of the employees. From past experience, she has found that the reviews take her approximately 2 hours each to do with a population standard deviation of 0.3 hours. Let ? be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let ?⎯⎯⎯⎯⎯ be the random variable representing the mean time to complete the 20 reviews. Assume that the 20 reviews represent a random set of reviews.
a. ? is normally distributed with a mean of ____________, and a standard deviation of ______________.
b. ?⎯⎯⎯⎯⎯ is normally distributed with a mean of _______________, and a standard error of the mean __________________. Round your answer to 2 decimal places.
The solution to this problem is given by
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