Question: Here is a summary of pre-SAT and SAT scores of a large group of students,
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Past scores: average: 1200 SD: 100
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SAT scores: average: 1300 SD: 90
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correlation: 0.6
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Assume the data are approximately bivariate normal in distribution.
a) Of the students who score 1000 on the PSAT, about what percentage scored above average on the SAT?
b) Of the students who scored below average on the PSAT, about what percentage score above average on the SAT? About what percentage of students got at least 50 points more on the SAT than on the PSAT?