# Question: there are two major tests of readiness for college the...

###### Question details

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 *µ* = 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 *µ* = 1026 and
standard deviation *s* = 209.

Reports on a student's ACT or SAT usually give the percentile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one.

Tanya scores 1243 on the SAT. What is her percentile (± 1)?
%