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olga55 [171]
3 years ago
5

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?
Mathematics
1 answer:
Svetach [21]3 years ago
4 0
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

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