Estimate the probability that the sample mean of sat scores, Econometrics

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Estimate the probability that the sample mean of sat scores

Problem

Based on a simple random sample of 100 applicants at St. Andrew's college, we'd like to estimate the probability that the sample mean of SAT scores will fall within +/-10 of the population mean 1697?

In other words, between 1687 and 1707, given that the population standard deviation of SAT score is 87.4?

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Econometrics: Estimate the probability that the sample mean of sat scores

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Econometrics: Estimate the probability that the sample mean of sat scores

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