16.10 Retaking the SAT. In Exercise 16.2 (page 377), we saw that an SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assuming that the change in score has a Nor- mal distribution with standard deviation o = dence interval for the mean change in score u in the population of all high 40, we computed a 95% confi- school seniors. (a) Find a 90% confidence interval for u based on this sample. (b) What is the margin of error for 90%? How does decreasing the confi- dence level change the margin of error of a confidence interval when the sample size and population standard deviation remain the same?

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