Sat scores are distributed with a mean of 1,500 and a standard deviation of 300. you are interested in estimating the average sa
t 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?
The z-score is given by: z=(x-mean)/s.d the z-score giving us P(0.95)=1.96 and -1.96 thus; -1.96=(x-1500)/300 -588=x-1500 x=-588+1500 x=912 also: 1.96=(x-1500)/300 588=x-1500 x=588+1500 x=2,088 therefore the sample size of the student picked will be given by: 2,088-912 =1,176
