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An SRS of400 high school seniors gained an average ofx=20.69points in their second attempt at the SAT Mathematics exam. Assume that the change in score

An SRS of400 high school seniors gained an average ofx=20.69points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation =52.73.We want to estimate the mean change in scorein the population of all high schoolseniors. Using the68-95-99.7Rule or thez-table, give a68%confidence interval(a , b)for based on this sample.

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