SOLUTION: 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 wi

Question 1092414: 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 μ = 21.5 and standard deviation σ = 5.4. SAT scores are reported on a scale from 600 to 2400. The SAT scores are approximately Normal with mean μ = 1498 and standard deviation σ = 316.
What SAT scores make up the top 25% of all scores? (Round your answer to the nearest whole number.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z for 75 th percentile is +0.675, so we want everything greater than z=0.675
z=(x-mean)/sd
0.675=(x-1498)/316
213.3=x-1498
x=1711.3
everything greater than a score of 1711 for SAT.
===============
0.675=(x-21.5)/5.4
3.645=x-21.5
x=25.1, everything greater than a score of 25 for ACT.
RELATED QUESTIONS
There are two major tests of readiness for college, the ACT and the SAT. ACT scores... (answered by Boreal)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by Theo)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by Boreal)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by richard1234)

A study was conducted on students from a particular high school over the last 8 years.... (answered by VFBundy)

A study was conducted on students from a particular high school over the last 8 years.... (answered by ewatrrr)

A study was conducted on students from a particular high school over the last 8 years.... (answered by Theo)

Data from a state indicate that scores on the SAT test are normally distributed with a... (answered by Boreal)