We have reasons to believe that the distribution of househol.pdf

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We have reasons to believe that the distribution of household income for the US population is right-skewed. I am thinking about taking a random sample of 10,000 individuals from the US population and cal- culating the mean. (a) Is it possible to ascertain whether the distribution of the sample mean in this case will be normal? If yes, how did you come to this conclusion? (b) Say the true population mean of income is $90,000 and the true standard deviation is $68,000. What is the expectation and the variance of the sample mean in this case? We have reasons to believe that the distribution of household income for the US population is right-skewed. I am thinking about taking a random sample of 10,000 individuals from the US population and cal- culating the mean. (a) Is it possible to ascertain whether the distribution of the sample mean in this case will be normal? If yes, how did you come to this conclusion? (b) Say the true population mean of income is $90,000 and the true standard deviation is $68,000. What is the expectation and the variance of the sample mean in this case?.

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