Question

Problem 6.

Reports on a student's ACT or SAT usually give the percentile as well as the actual score. With reference to problem 5 above, suppose Jacob scores 16 on the ACT. What is his percentile? Show your method.

Problem 5.
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 = 4.9. SAT scores (prior to 2005) were
reported on a scale from 400 to 1600. SAT scores have been roughly Normal with mean = 1026
and standard deviation = 209. Suppose Maria scores 28 on the ACT. Assuming that both tests
measure the same thing, what score on the SAT is equivalent to Maria's ACT score?

Answer 1