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Scores on an aptitude test are distributed with a mean of 220 and a standard deviation...

Scores on an aptitude test are distributed with a mean of 220 and a standard deviation of 30. The shape of the distribution is unspecified. What is the probability that the sampling error made in estimating the population mean by the mean of a random sample of 50 test scores will be at most 5 points? Round to three decimal places.

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