Question: saT scores and the Central Limit Theorem. Based on data from the College Board, assume that SAT scores are normally distributed with a mean of

saT scores and the Central Limit Theorem. Based on data from the College Board, assume that SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325.

Assume that many samples of size n are taken from a large population of students and the mean SAT score is computed for each sample.

a. If the sample size is n = 100, find the mean and standard deviation of the distribution of sample means.

b. If the sample size is n = 2,500, find the mean and standard deviation of the distribution of sample means.

c. Why is the standard deviation in part a different from the standard deviation in part b?

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