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. 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 #1

Solution

standard deviation = =300

Margin of error = E = 25

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

sample size = n = [Z/2* / E] 2

n = ( 1.96*300 / 25 )2

n =553.19

Sample size = n =553

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?

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?
Make sure to give a whole number answer.

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?
Make sure to give a whole number answer.

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?
Make sure to give a whole number answer.

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SAT scores are normally distributed with a mean of 1,500 and a
standard deviation of 300. An administrator at a college is
interested in estimating the average SAT score of first-year
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Make sure to give a whole number answer.
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