SOLUTION: 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. If y

Algebra ->  Probability-and-statistics -> SOLUTION: 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. If y      Log On


   

Question 1158343: 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. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half-interval or margin of error=25=z(0.975)*sigma/sqrt(n)
25=1.96*300/sqrt(n)
sqrt(n)=1.96*300/25=23.52
n=553.19 or 554 people