Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score 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 of scores for all MCAT takers is 10.8. Suppose that (unknown to you) the mean score of those taking the MCAT on your campus is510.

You sample 36 students. What is the mean of the sampling distribution of their average score ?

Give your answer as a wholenumber.

What is the standard deviation of the sampling distribution of their average score ?

Give your answer to two decimalplaces.