Question: For samples of the specified size from the population described, find the mean and standard deviation of the sample mean \(\bar{x}\).

The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of \(\bar{x}\) .

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