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 for more than 1 million stu

Question 1040017: 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 for more than 1 million students in a recent high school graduating class was roughly normal with mean μ = 20.8 and standard deviation σ = 4.8. SAT scores are reported on a scale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class were roughly normal with mean μ = 1026 and standard deviation σ = 209.
How well must Abigail do on the SAT in order to place in the top 10% of all students?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
low SAT is 400, and high is 1600.
Top 10% is a z-value of +1.282
z=(x-mu)/sd
z*sd=(x-mu)
1.28*209=267.9, round to 268
x-mu=268
x=1026+268=1294

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