# Question

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.

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.

## Answer to relevant Questions

Write formulas that express the central tendency and variability of the population of all possible sample proportions. Explain what each of these formulas means in your own words. On February 8, 2002, the Gallup Organization released the results of a poll concerning American attitudes toward the 19th Winter Olympic Games in Salt Lake City, Utah. The poll results were based on telephone interviews with ...When is it appropriate to use stratified random sampling? What are strata, and how should strata be selected? Suppose that for a sample of n = 11 measurements, we find that x-bar = 72 and s = 5. Assuming normality, compute confidence intervals for the population mean m with the following levels of confidence: a. 95% b. 99% c. 80% ...Explain exactly what we mean when we say that a sample of size n makes us 99 percent confident that x̅ is within E units of μ.Post your question

0