SOLUTION: 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 studen

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Question 906372: 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 students must score in the top 5.75% of all students who took the required entrance exam. The exam is constructed such that the scores are normally distributed with an average of 900 and a standard deviation of 120 The minimum exam score necessary for applicants to be further considered for admission is:
Answer by stanbon(75887) About Me  (Show Source):
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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 students must score in the top 5.75% of all students who took the required entrance exam. The exam is constructed such that the scores are normally distributed with an average of 900 and a standard deviation of 120 The minimum exam score necessary for applicants to be further considered for admission is:
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Find the z-value with a right tail of 5.75%::
invNorm(1-0.0575) = 1.5761
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Find the corresponding score::
x = z*s + u
x = 1.5761*120 + 900 = 1089.13
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Cheers,
Stan H.