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

Given in the question

SAT Scores are distributed with

Mean ()
= 1500

Standard deviation()
= 300

Margin of error (E) = 25

Sample size (n) can be calculated as

n = (Zalpha/2 *
/E)^2

Confidence level = 0.95

Level of significance ()
= 1 - 0.95 = 0.05

/2. = 0.05/2 = 0.025

From Z table we found Zalpha/2 = 1.96

So Sample size (n) = (Zalpha/2 *
/E)^2 = (1.96*300/25)^2 = 553.1904 or 554

So If you would like to limit the margin of error of your 95%
confidence interval to 25 points, 554 Students you should
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?
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 314. 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 confidence interval to 25 points
with 95 percent confidence, how many students should you sample?
(Round up to a whole number of students.)

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 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 ____

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5. Mean of 1500, standard deviation of 300. Estimating the
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confidence level, what size of...

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