Almost all medical schools in the US require students to take the MCAT. To estimate the mean score (mu) of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 6.4. Suppose that (unknown to you) the mean score of those taking the MCAT on your campus is 25.
1. You sample 254 students. What is the standard deviation of sampling distribution of their average score?