SOLUTION: Suppose ACT Mathematics scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3. A university plans to send letters of recognition to students whose sco

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Question 1116544: Suppose ACT Mathematics scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Answer by stanbon(75887) About Me  (Show Source):
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uppose ACT Mathematics scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
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Find the z-value with a right tail of 11%
invNorm(0.89) = 1.2265
Find the corresponding score::
x = 1.2265*5.3+21.3 = 27.8 (minimum score)
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Cheers,
Stan H.
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