SOLUTION: The number of years of education of self-employed individuals in the U.S. has a population mean of 13.6 years and a population standard deviation of 3.0 years. If we survey a rand

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Question 264726: The number of years of education of self-employed individuals in the U.S. has a population mean of 13.6 years and a population standard deviation of 3.0 years. If we survey a random sample of 100 self-employed people to determine the average number of years of education for the sample, what is the mean and standard deviation of the sampling distribution of x-bar (the sample mean)? Enter your answers below to one decimal place
Answer by stanbon(75887) About Me  (Show Source):
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The number of years of education of self-employed individuals in the U.S. has a population mean of 13.6 years and a population standard deviation of 3.0 years.
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If we survey a random sample of 100 self-employed people to determine the average number of years of education for the sample, what is the mean and standard deviation of the sampling distribution of x-bar (the sample mean)? Enter your answers below to one decimal place
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The Central Limit Theorem guarantees:
The mean of the sample means is the mean of the population = 13.6
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The standard deviation of the sample means is
(the population std)/sqrt(100) = 3/10
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Cheers,
Stan H.