SOLUTION: Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 5.9. A university plans to award scholarships to students whose scores are in t

Question 1168500: Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 5.9. A university plans to award scholarships to students whose scores are in the top 9%. What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
top 9% is 91st percentile. Can take from table or INVNORM (0.91,0,1) which is 1.34.
z=(x-mean)/sd
1.34=(x-21.4)/5.9
7.906=x-21.4
x=29.306 or 29.3
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