Question

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.

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Answer #1
mean μ= 21.4
standard deviation σ= 5.9000
for 91th percentile critical value of z= 1.34
therefore corresponding value=mean+z*std deviation= 29.3
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