There are two major tests of readiness for college: the ACT and the SAT. ACT sco

Question

There are two major tests of readiness for college: the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores in recent years has been roughly Normal with mean = 20.9 and standard deviation = 4.8, SAT scores are reported on a scale from 400 to 1600, SAT scores have been roughly Normal with mean -1026 and standard deviation = 209 Joe scores 1355 th SAT. Assuming that both tests measure the same thing, what score on the ACT is equivalent to Joe's SAT score? (Round your answer to one decimal place.)

Explanation / Answer

Z = (X - ) /

Z score for Joe's SAT score = (1355 - 1026) / 209 = 1.57

ACT score = 20.9 + 4.8 * 1.57 = 28.4 (ans)

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