There are two major tests of readiness for college, the ACT andthe SAT. ACT scores are reported on
a scale from 1 to 36. The distribution of ACT scores isapproximately Normal with mean ? = 21.5
and standard deviation ? = 5.4. SAT scores are reported on a scalefrom 600 to 2400. The
distribution of SAT scores is approximately Normal with mean ? =1498 and standard deviation ? =
316. Exercises 1.124 through 1.133 are based on thisinformation.

1.124 Compare an SAT score with an ACT score. Jessica scores 1830on the
SAT. Ashley scores 27 on the ACT. Assuming that both tests measurethe same thing, who has the
higher score? Report the z-scores for both students.
1.125 Make another comparison. Joshua scores 16 on the ACT. Anthonyscores 1050
on the SAT. Assuming that both tests measure the same thing, whohas the higher score? Report the
z-scores for both students.
1.126 Find the ACT equivalent. Jorge scores 2090 on the SAT.Assuming that both tests
measure the same thing, what score on the ACT is equivalent toJorge’s SAT score?
1.127 Find the SAT equivalent. Alyssa scores 30 on the ACT.Assuming that both tests
measure the same thing, what score on the SAT is equivalent toAlyssa’s ACT score?