SOLUTION: Suppose that an engineering school honors program will accept only high school seniors with a math SAT in the top 10%. What is the minimum SAT score in math for this program? Wha

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Question 418515: Suppose that an engineering school honors program will accept only high school seniors with a math SAT in the top 10%. What is the minimum SAT score in math for this program? What is the minimum ACT score in mathematics for this program?(SAT): μ = 500 σ 100
Of course, this is a inverse problem. Need help with this one.
I have so far:
1.28=628-500/100 which makes .8997 (X = 628)
Then I have:
-1.28=372-500/100 which makes .1003 (X = 372)
To find the minimum math score need for SAT, do I now take and
.8997 - .1003 = .7994 which means that the min score is 799 to be in the top 10% of SAT scores
<<<< 90% that way on curve and 10 this way for curve >>>>>>>



Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that an engineering school honors program will accept only high school seniors with a math SAT in the top 10%.
What is the minimum SAT score in math for this program?
(SAT): μ = 500 σ = 100
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Find the z-score with a right tail of 10%:
invNorm(0.9) = 1.2816
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Find the corresponding x-score using x = zs+u
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x = 1.2816*100 + 500
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x = 128.16+500
x = 628.16
============
Cheers,
Stan H.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 Top 10%, μ = 500 σ 100 

 1.28 = X-500/100       NORMSINV(0.9) = 1.281550794        

 128 + 500 = 628, minimum score to be in top 10%