SOLUTION: The problem is For a given population of high school seniors , the Scholastic Aptitude Test (SAT) in mathematics is normally distributed with a mean score of 600 with a standard de

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Question 889504: The problem is For a given population of high school seniors , the Scholastic Aptitude Test (SAT) in mathematics is normally distributed with a mean score of 600 with a standard deviation of 50.
Question: Suppose that an engineering school honors program will accept only high seniors with a mathematics SAT score in the top 15%. What is the minimum SAT score in mathematics for this program?
Answer by stanbon(75887) About Me  (Show Source):
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The problem is For a given population of high school seniors , the Scholastic Aptitude Test (SAT) in mathematics is normally distributed with a mean score of 600 with a standard deviation of 50.
Question: Suppose that an engineering school honors program will accept only high seniors with a mathematics SAT score in the top 15%. What is the minimum SAT score in mathematics for this program?
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Find the z-score with a left tail of 0.85
invNorm(0.85) = 1.0364
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Find the minimum score:
x = 1.0364*50 + 600 = 651.82
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Cheers,
Stan H.