Ages of proofreaders. At a large publishing company the mean age of proofreaders is 36.2 years, and


Question: Ages of proofreaders. At a large publishing company the mean age of proofreaders is 36.2 years, and the standard deviation is 3.7 years. Assume the variable to be normally distributed.

a. If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5 years.

b. If a random sample of 15 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years.

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