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Sample Distribution - New York Stock Exchange

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This question has to deal with the sampling distribution of the sample mean.
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Suppose that the percentage returns for a given year for all stocks listed on the New York Stock Exchange 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. 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 New York Stock Exchange 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. 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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