Suppose that the average number of sick days that a person at the company takes per year is 3.2 with a standard deviation of .75. You select a sample of 125 employees. a. Is the sampling distribution for the mean of the sick days for 125 employees normally distributed? Explain how you know in complete sentences and be specific. b. What is the mean and standard deviation for the sampling distribution for the mean of 125 employees sick days? Show your work and calculations. c. Suppose that a group of 125 employees has a mean of 3.7 days. What is the probability that a group of 125 employees would take more sick days than them? You should use technology to find this value and write the probability notation. d. Suppose that a group of 35 employees has a mean of 3.5 days. Would that group have taken an unusual number of sick days?
Suppose that the average number of sick days that a person at the company takes per year is 3.2 with a standard deviation of .75. You select a sample of 125 employees.
a. Is the sampling distribution for the
distributed? Explain how you know in complete sentences and be specific.
b. What is the mean and standard deviation for the sampling distribution for the mean of
125 employees sick days? Show your work and calculations.
c. Suppose that a group of 125 employees has a mean of 3.7 days. What is the probability
that a group of 125 employees would take more sick days than them? You should use
technology to find this value and write the probability notation.
d. Suppose that a group of 35 employees has a mean of 3.5 days. Would that group have
taken an unusual number of sick days?
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