Business statistics 7.13 n 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: 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? assume s equals 1.3 days. 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? assume s equals 1.8 days. c suppose we randomly select a sample of 100 blue- collar 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 1.0 day? explain. assume s still equals 1.8 days.