If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?

Question

SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college.

Answer 1

sample size = (1.96 * 300/25)^2 = 553.19 ~ 554