Question

Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495495 and standard deviation 118118 . You choose an SRS of 100100 students and average their SAT Critical Reading scores. If you do this many times, the mean of the average scores you get will be close to 495118√=45.57495118=45.57 . 495495 . 495100√=49.5495100=49.5 . 495100=4.95495100=4.95 .

Answer 1

Answer: $495$

Step-by-step explanation:

We know that if the population is normally distributed with mean $\mu$  and standard deviation $\sigma$, then the sampling distribution of the sample mean , $\overline{x}$ is also normally distribution with :-

Mean : $\mu_{\overlien{x}}=\mu$

Given : The scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean $\mu= 495$

Then , the mean of the average scores you get will be close to $495$