Question

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 students. If the administrator would like to limit the margin of error of the 88% confidence interval to 25 points, how many students should the administrator sample?

Make sure to give a whole number answer.

answer ____

Answer #1

Solution :

Given that,

standard deviation = =300

Margin of error = E = 25

At 88% confidence level the z is ,

= 1 - 88% = 1 - 0.88 = 0.12

/ 2 = 0.12/ 2 = 0.06

Z_{/2}
= Z_{0.06} =1.55 ( Using z table )

sample size = n = [Z_{/2}*
/ E] ^{2}

n = ( 1.55* 300 /25 )^{2}

n =346

Sample size = n =346

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
students. If the administrator would like to limit the margin of
error of the 88% confidence interval to 25 points, how many
students should the administrator 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.

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?

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?

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5. Mean of 1500, standard deviation of 300. Estimating the
average SAT score, limit the margin of error to 95% confidence
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