The distribution of salaries at a large company is right-skewed with a mean of $5000 and a standard deviation of $1500. a)  Determine the sampling distribution of the mean salary for samples of size 80. b)  If a sample of salaries of 80 employees is randomly selected, what is the probability that the sample mean salary will be within $100 of the population mean $5000 (the mean salary for all employees)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The distribution of salaries at a large company is right-skewed with a mean of $5000 and a standard deviation of $1500.

  1. a)  Determine the sampling distribution of the mean salary for samples of size 80.

  2. b)  If a sample of salaries of 80 employees is randomly selected, what is the probability that the sample mean salary will be

    within $100 of the population mean $5000 (the mean salary for all employees)?

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