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Answer to Question #38781 in Statistics and Probability for yancey
Question #38781
High school students who take the SAT mathematics exam a second time generally score higher than on their first try. The change in score has a normal distribution with standard deviation \sigma= 50. A random sample of 1000 students gains an average of \bar{x}= 22 points on their second try. What is the margin of error for a 95% confidence interval for the mean score gain \mu in the population of all students?
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