There are two major tests of readiness for college, the ACT and the SAT. ACT sco
ID: 3125556 • Letter: T
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 are approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT scores are reported on a scale from 600 to 2400. The SAT scores are approximately Normal with mean = 1509 and standard deviation = 321.
Tonya scores 1790 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.)
Explanation / Answer
Tonya's z score is zt= (1790-1509)/321= 0.88
Jermaine's z score is zj=(28-21.5)/5.4= 1.3
Therefore Jermaine has the higher score