What percentage scored above average on the SAT

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Reference no: EM131811703

Question: Here is a summary of pre-SAT and SAT scores of a large group of students,

Past scores:                  average:  1200                       SD: 100

SAT scores:                   average:  1300                       SD: 90

                                        correlation: 0.6

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?

Reference no: EM131811703

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