More than 1 million high school students took the SAT in 2000. The average verbal score was 428 and the standard deviation was 110.
(a) Estimate the 60th percentile of the verbal SAT scores in 2000.
(b) In California, the average verbal score was 417 and the standard deviation was 110 points. About what percent of the California test takers did better than the national average?
(c) Estimate the difference between national and California’s and national SAT scores. Construct a 95% confidence interval of the difference.
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