SOLUTION: In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of employee absences. Based on a sample of 176 blue‐collar workers, Martocchio e

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Question 350592: In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of employee absences. Based on a sample of 176 blue‐collar workers, Martocchio estimated that the mean amount of paid time lost during a three‐month period was 1.4 days per employee with a standard deviation of 1.3 days. Martocchio also estimated that the mean amount of unpaid time lost during a three‐month period was 1.0 day per employee with a standard deviation of 1.8 days. Suppose we randomly select a sample of 100 blue‐collar workers. Based on Martocchio's estimates, find:
a. What is the probability that the average amount of paid time lost during a three‐month period for the 100 blue‐collar workers will exceed 1.5 days?
b. What is the probability that the average amount of unpaid time lost during a threemonth period for the I00 blue‐collar workers will exceed 1.5 days?
c. For the amount of paid time lost, the probability is 60% that the sample mean will be between what two values, symmetrically distributed around the population mean?

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