. (S-AQ 3.58) There are two major tests of readiness for college: the ACT and th

Question

. (S-AQ 3.58) 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 c ACT scores in recent years has been roughly Normal with mean -20.9 and standard deviation s-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 s-209. oe scores 1387 on the SAT. Assuming that both tests measure the same thing, what score (1) on the ACT is equivalent to Joe's SAT score?

Explanation / Answer

For SAT score of 1387,
z = (1387 - 1026)/209 = 1.7273

To find the equivalent ACT score, we calculated the x using above z value
x = 20.9 + 1.7273*4.8 = 29.1910

Ans: 29

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