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The national average SAT score (for verbal & math) is 1028. Suppose nothing is known about...

The national average SAT score (for verbal & math) is 1028. Suppose nothing is known about the distribution of individual SAT scores, but it is known that the standard deviation of these scores is 100. If a random sample of 200 scores were selected and the sample mean was calculated to be 1050, would this be surprising? If so, why? If not, why not?

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