# How do you find the mean and the standard deviation of the sampling distribution of ¯X and find an interval containing 95.44% of all possible sample mean returns?

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Suppose that the percentage returns for a given year for all stocks listed on the NYSE are approximately normally distributed with a mean of 12.4% and a standard deviation of 20.6%. Consider drawing a random sample of n=5 stocks from the population of all stocks and calculating the mean return, ¯X, of the sampled stocks.

Suppose that the percentage returns for a given year for all stocks listed on the NYSE are approximately normally distributed with a mean of 12.4% and a standard deviation of 20.6%. Consider drawing a random sample of n=5 stocks from the population of all stocks and calculating the mean return, ¯X, of the sampled stocks.

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Mar 22, 2018