Low: 595 to High: 11.55 Counselors at an exclusive private college look carefull

Question

Low: 595 to High: 11.55 Counselors at an exclusive private college look carefully at the applications from high school students seeking admission to the college. One of their criteria is that these dents must score in the top 1.5% of all students who took the required entrance exam. The exam is constructed such that the scores are normally distributed with average of 800 and a standard deviation of 110 The minimum exam score necessary for applicants to be further considered for admission is: Hint: I know you guys hate to do this because you think it's a waste of your time but y'all should really draw an appropriate diagram Note: Round all answers to the nearest integer. 2 2 8 0

Explanation / Answer

Mean = 800

SD = 110

Let X be the marks secured

P(X<X1) = 0.985

Corresponding Z scores will be P(Z<Z1) = 0.985

Z1= 2.17

(X-800)/110 = 2.17

X= 1038.7 and that's the min score

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