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Chapter 3

Problem 93

An exam score has a mean of 80 and a standard deviation of 4 . a. Find and interpret in context an exam score that corresponds with a \(z\) -score of 2 b. What exam score corresponds with a \(z\) -score of \(-1.5\) ?

Problem 95

Quantitative SAT scores have a mean of 500 and a standard deviation of 100 , while ACT scores have a mean of 21 and a standard deviation of \(5 .\) Assuming both types of scores have distributions that are unimodal and symmetric, which is more unusual: a quantitative SAT score of 750 or an ACT score of 28 ? Show your work.

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