The population of SAT scores recorded in a recent year has adistribution that is

Question

The population of SAT scores recorded in a recent year has adistribution that is approximately N(1026,209)


Which best describes the sampling distribution of x-bar, the meanscore of n=25 test takers?
A. The distribution is approx. uniform with a mean of 1026 pointsand std. dev. of 42
B. The distribution is perfectly normal with a mean of 1026and std. dev. of 209 points.
C. The distribution is approx. normal with mean of 1026 points andstd. dev. of 41.8
D. The distribution is binomial with n=25 and p=0.95

Explanation / Answer

C. The distribution is approx. normal with mean of 1026 points andstd. dev. of 41.8 since standard error for the sample = 209/25 = 41.8

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