A certain region of America with over 500{,}000500,000500, comma, 000 households has a mean household income of \$70{,}000$70,000dollar sign, 70, comma, 000 with a standard deviation of \$20{,}000$20,000dollar sign, 20, comma, 000. Economists plan to take random samples of 625625625 households and calculate the sample mean income \bar x x
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x, with, \bar, on top for each sample.
Calculate the mean and standard deviation of the sampling distribution of \bar x
x
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x, with, \bar, on top.