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

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) (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

RELATED QUESTIONS
SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are... (answered by ewatrrr)

#3 SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You... (answered by Boreal)

SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are... (answered by Boreal)

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. (answered by Theo)

SAT scores are distributed with a mean of 1,500 and a standard deviation of 286. You are (answered by Boreal)

SAT scores are distributed with a mean of 1,500 and a standard deviation of 307. You are... (answered by Theo)

SAT scores are distributed with a mean of 1,500 and a standard deviation of 289. You are... (answered by Theo)

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. (answered by Boreal)