Question: 3.8 SAT versus ACT. In 2007, when she was a high school senior, Eleanor scored 680 on the mathematics part of the SAT. The distribution

3.8 SAT versus ACT. In 2007, when she was a high school senior, Eleanor scored 680 on the mathematics part of the SAT. The distribution of SAT math scores in 2007 was Normal with mean 515 and standard deviation 114. Gerald took the ACT math ematics test and scored 27. ACT math scores for 2007 were Normally distributed with mean 21.0 and standard deviation 5.1. Find the standardized scores for both stu dents. Assuming that both tests measure the same kind of ability, who had the higher score?

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