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 1.3 days per employee with a standard deviation of 1.2 days. Martocchio also estimated that the mean amount of unpaid time lost during a three-month period was 1.3 day per employee with a standard deviation of 1.4 days. Suppose we randomly select a sample of 100 blue-collar workers. Based on Martocchio’s estimates:
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 1.3 days per employee with a standard deviation of 1.2 days. Martocchio also estimated that the mean amount of unpaid time lost during a three-month period was 1.3 day per employee with a standard deviation of 1.4 days. Suppose we randomly select a sample of 100 blue-collar workers. Based on Martocchio’s estimates:
(a) What is the
(b) What is the probability that the average amount of unpaid time lost during a three-month period for the 100 blue-collar workers will exceed 1.5 days? (Use the rounded mean and standard error to compute the rounded Z-score used to find the probability. Round standard deviations to 2 decimal places and probabilities to 4 decimal places. Round z-value to 2 decimal places.)
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