Eleanor scores 660 on the mathematics part of the SAT. The distribution of SAT s

Question

Eleanor scores 660 on the mathematics part of the SAT. The distribution of SAT scores in a reference population is normal, with mean 575 and standard deviation 90. Gerald takes the American College Testing (ACT) mathematics test and scores 29. ACT scores are normally distributed with mean 20 and standard deviation 6. Find the standardized scores for both students. Assuming that both tests measure the same kind of ability, who has the higher score? (A) Eleanor's score is higher (B) Gerald's score is higher (C) Eleanor's and Gerald's scores are the same

Explanation / Answer

Eleanor Score = (660-575)/90 = 0.944

Gerald Score = (29-20)/6 = 1.5

So, Option B is Correct. Gerald Score is Higher

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