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In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of...

In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of employee absences. Assume an infinite population. The mean amount of paid time lost during a three-month period was 1.0 day per employee with a standard deviation of 1.4 days. The mean amount of unpaid time lost during a three month period was 1.2 days per employee with a standard deviation of 1.6 days. Suppose we randomly select a sample of 100 blue-collar workers.

  1. 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?
  1. What is the probability that the average amount of unpaid time lost during a three-month period for the 100 blue-collar workers will be between 1.4 and 1.5 days? Please give a precise explanation, as if you are telling someone who doesn’t know anything about statistics, for the reasoning behind your answer?
  1. How large a random sample is needed to construct a 95 percent confidence interval for the mean for population paid time lost with a margin of error equal to 0.1? Please give a precise explanation, as if you are telling someone who doesn't know anything about statistics for the reasoning behind your answer.

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milcah answered 8 months ago
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