According to the Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean

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According to the Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of 25.4 hours per week at home. Assume a standard deviation of 10 hours.
a. Identify the population and variable.
b. For samples of size 100, find the mean and standard deviation of all possible sample mean hours worked per week at home.
c. Repeat part (b) for samples of size 1000.
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