Scores on the Critical Reading part of the SAT college entra

Scores on the Critical Reading part of the SAT college entrance test in a recent year were roughly Normal with mean 1011.8 and standard deviation 185.4. You choose an SRS of 80 students and average their SAT scores. If you do this many times, the mean of the average scores you get will be close to

A) 1011.8/squareroot of 80 ~ 113

B) 1011.8/80 ~12.6

C) 1011.8

Solution

By central limit theorem, the mean of the sample means will still be the population mean.

Thus,

OPTION C: 1011.8 [answer]