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Answer to Question #38774 in Statistics and Probability for yancey

Question #38774
A random sample of 1000 high school students gains an average of \bar{x}= 22 points in their second attempt at the SAT mathematics exam. The change in score has a Normal distribution with standard deviation \sigma= 50. What is the margin of error for a 90% confidence interval for the mean score gain \mu in the population of all students?
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