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

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) (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
---
Find the z-score with a right tail of 10%:
invNorm(0.9) = 1.2816
---
Find the corresponding x-score using x = zs+u
---
x = 1.2816*100 + 500
---
x = 128.16+500
x = 628.16
============
Cheers,
Stan H.

Answer by ewatrrr(24785) (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%

RELATED QUESTIONS
The problem is For a given population of high school seniors , the Scholastic Aptitude... (answered by stanbon)
Trevor wants to buy a local restaurant. 60% of the business days it's open, the... (answered by stanbon)
The ACT exam math section scores are normally distributed with mean 18 and standard... (answered by stanbon)
Could someone please help with this?: The SAT math scores for all seniors in a high... (answered by ewatrrr)
In an international studies program at a university, the number of seniors that graduated (answered by jorel1380)
The average math SAT score is 513 with a standard deviation of 113. A particular high... (answered by stanbon)
4. Suppose that a school district wants to start a program for gifted students. The... (answered by Theo)
The average math SAT score is 518 with a standard deviation of 115. A particular high... (answered by stanbon)
a survey of high school seniors of a graduating high school seniors, 10% said that their... (answered by edjones)