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In 2010, when she was a high school senior, Alysha scored 670 on the Mathematics part of the SAT. The distribution of SAT Math scores in 2010 was Normal with mean 516 and standard deviation 116. John took the ACT and scored 26 on the Mathematics portion. ACT Math scores for 2010 were Normally distributed with mean 21.0 and standard deviation 5.3. Find the standardized scores for both students. Assuming that both tests measure the same kind of ability, who had the higher score? (choose the best answer)
A) because Alysha has z = 1.33 and John has z = 0.94, Alysha has the higher score.
B) because both tests measure Mathematics ability, both students had exactly the same score.
C) because both tests measure Mathematics ability, both students had exactly the same score.
D) because the mean of ACT's is only 21 but the mean of SAT's is 516, all SAT scores are higher than all ACT scores.
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