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You are sampling from a population with a known standard deviation of 20 and want to construct a 95% confidence interval with a margin of error of no more than 4. What is the smallest sample that will produce such an interval?

4 > 1.96 (20/sqrt n)
20^2 / ((4/1.96)^2) = 96.04
n>96.04. so at least 97
is this correct?

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