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the national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known...

the national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calculated to be 1050, would you be surprised? Explain.
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Yes , i would be surprised as accordinfg to Central Limit Theorem if the sample size is large enough i.e n >30,then the sample mean will be equal to the population mean. So in this case the sample mean of 200 scores should be approximately equal to 1028.

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