Based on data from the college board, assume that SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. Assume that many samples of size n are taken from a large population of students and the mean SAT score is computed for each sample.
A) If the sample size is n=100, find the mean and standard deviation of the distribution of sample means.
B) If the sample size is n=2,500, find the mean and standard deviation of the distribution of sample means.