SOLUTION: In 2001 the ACT reading test had a mean of 21.3 and a standard deviation of 6.0 Asuming the scores are distributed normally a. If only the top 1% of the test takers would be c

Question 223018: In 2001 the ACT reading test had a mean of 21.3 and a standard deviation of 6.0
Asuming the scores are distributed normally
a. If only the top 1% of the test takers would be considered for scholarships at Prestige College, what is the minimum score for the scholarship group?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In 2001 the ACT reading test had a mean of 21.3 and a standard deviation of 6.0
Asuming the scores are distributed normally
a. If only the top 1% of the test takers would be considered for scholarships at Prestige College, what is the minimum score for the scholarship group?
--------------------
Find the z-value that separates the top 1% of a population from
the lower 99%. That value is invNorm(0.99) = 2.3263
-------------------
Find the raw score value associated with that z-value:
x = u + z*sigma
x = 21.3 + 2.3263*6 = 35.28
===================================
Cheers,
Stan H.
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