In an article in the Journal ofManagement, 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'l.9 days. Martocchio also estimated that the mean amount of unpaid time lost during a three-month period was 1.4 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: (a) What is the probability that the average amount of paidtime 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 means to 1 decimal place, standard deviations to 2 decimal places' and probabilities to 4 decimal places. Round z-value to 2 decimal places.) (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.) (:1 Suppose we randomly select a sample of 100 bluecollar workers, and suppose the sample mean amount of unpaid time lost during a three-month period actually exceeds 1.5 days. Would it be reasonable to conclude that the mean amount of unpaid time lost has increased above the previously estimated 1.4 days? _ , the probability of observing the sample is _ if the mean is actually 1.4