There are two major tests of readiness for college, the ACT and the SAT. ACT sco
ID: 3352853 • 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 = 1498 and standard deviation = 316.
What SAT scores make up the top 13% of all scores? (Round your answer to the nearest whole number.)
Scores and higher make up the top 13% of all scores.
Explanation / Answer
here from normal value table ; fr top 13 % ; at 87 percentile ; z score =1.1264
therefore corresponding SAT score =mean+z*std deviation =1498+1.1264*316=1854