Question

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 1.4 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? (Round means to 1 decimal place, standard deviations to 2 decimal places, and probabilities to 4 decimal places.) μx¯=μ σPicture Probability (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? (Round standard deviations to 2 decimal places and probabilities to 4 decimal places.) μx¯=μ σPicture Probability (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 days? , the probability of observing the sample is if the mean is actually 1.0.

Answer #1

a) 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. The standard deviation of the mean is The probability,

b) Martocchio 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. The standard deviation of the mean is The probability,

c) Since the probability calculated in part (b), increases if the the mean amount of unpaid time lost has increased above the previously estimated 1.0 days, the conclusion is not reasonable.

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 1.4
days per employee with a standard deviation of 1.4 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 1.6 days. Suppose...

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 1.9 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...

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 1.9 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...

In an article in the Journal of Marketing, Bayus studied the
differences between "early replacement buyers” and "late
replacement buyers” in making consumer durable good replacement
purchases. Early replacement buyers are consumers who replace a
product during the early part of its lifetime, while late
replacement buyers make replacement purchases late in the product’s
lifetime. In particular, Bayus studied automobile replacement
purchases. Consumers who traded in cars with ages of zero to three
years and mileages of no more than...

In an article in the Journal of Marketing, Bayus
studied the differences between "early replacement buyers” and
"late replacement buyers” in making consumer durable good
replacement purchases. Early replacement buyers are consumers who
replace a product during the early part of its lifetime, while late
replacement buyers make replacement purchases late in the product’s
lifetime. In particular, Bayus studied automobile replacement
purchases. Consumers who traded in cars with ages of zero to three
years and mileages of no more than...

In an article in the Journal of Marketing, Bayus studied the
differences between "early replacement buyers” and "late
replacement buyers” in making consumer durable good replacement
purchases. Early replacement buyers are consumers who replace a
product during the early part of its lifetime, while late
replacement buyers make replacement purchases late in the product’s
lifetime. In particular, Bayus studied automobile replacement
purchases. Consumers who traded in cars with ages of zero to three
years and mileages of no more than...

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