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 percent and a standard deviation of 20.6 percent. Consider drawing a random sample of n=5 stocks from the population of all stock and calculating the mean return , x, of the sample 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 returns.
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