The mean annual earning for U.S. workers with advanced degrees is $80,977 with a standard deviation of $100,895; the distribution is highly right-skewed. Use this information to answer questions 7 to 10 below. A random sample of n = 86 workers is drawn, and their annual earnings recorded. What is the expected value of the sample mean of their annual earnings? What is the standard deviation of the sample mean of their annual earnings? what is the probability that the sample mean is at least $100,000? The actual sample mean earnings for the random sample of 86 workers with advanced degrees was $82,105. What is the sampling error?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section: Chapter Questions
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The mean annual earning for U.S. workers with advanced degrees is $80,977 with a standard deviation of $100,895; the distribution is highly right-skewed. Use this information to answer questions 7 to 10 below. A random sample of n = 86 workers is drawn, and their annual earnings recorded.

What is the expected value of the sample mean of their annual earnings?

What is the standard deviation of the sample mean of their annual earnings?

what is the probability that the sample mean is at least $100,000?

The actual sample mean earnings for the random sample of 86 workers with advanced degrees was $82,105. What is the sampling error?

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