SOLUTION: 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 are approximately Normal wi

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Question 581518: 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 are approximately Normal with mean μ = 21.5 and standard deviation σ = 5.4. SAT scores are reported on a scale from 600 to 2400. The SAT scores are approximately Normal with mean μ = 1509 and standard deviation σ = 321.

Tonya scores 1770 on the SAT. Jermaine scores 28 on the ACT. Assuming that both tests measure the same thing, who has the higher score? Report the z-scores for both students. (Round your answers to two decimal places.)

Tonya's score standardizes to z = .


Jermaine's score standardizes to z = .


Therefore,.......... has the higher score.



Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Tonya's z-score is



Jermaine's z-score is



Jermaine has the higher z-score, and scores "higher."