Scores on the mathematics part of the SAT exam in a recent year were roughly Nor

Question

Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 455 and standard deviation 120. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the standard deviation of the average scores will get close to A. 120 B. 1.2 C. 12 D. None of the above. (c) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 455 and standard deviation 120. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the mean of the average scores will get close to

Explanation / Answer

A. 12 (Option C) B. 120

Both the above answer is based on Central Limit Theorem, which states that if repeated samples of size N are drawn from any population with mean mu and standard deviation sigma, then as N becomes large, the sampling distribution of sample means will approach normality, with mean mu and standard deviation sigma/sqrtN.

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