Confidence level and margin of error. A random sample of 1000 high schoolstudents gains

Chapter 0, Problem 14.8

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Confidence level and margin of error. A random sample of 1000 high schoolstudents gains an average of x = 22 points in their second attempt at the SATmathematics exam. The change in score has a Normal distribution with standarddeviation = 50.(a) Give a 95% confidence interval for the mean score gain in the populationof all students.(b) Give the 90% and 99% confidence intervals for . (c) What are the margins of error for 90%, 95%, and 99% confidence? How doesincreasing the confidence level change the margin of error of a confidenceinterval?

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