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To solve the problem, we can use the formula for the margin of error in a confidence interval for a mean, which is given by:

\[
E = z \cdot \frac{\sigma}{\sqrt{n}}
\]

Where:
- \(E\) is the margin of error (25 points),
- \(z\) is the z-score corresponding to a 95% confidence level (approximately 1.96),
- \(\sigma\) is the population standard deviation (300),
- \(n\) is the

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?

Learn how to calculate the number of students to sample in order to limit the margin of error to 25 points for a 95% confidence interval on SAT scores. This problem involves key concepts in statistics, including the confidence interval formula and standard deviation.

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