Description
The scores on a particular test are normally distributed with mean of 73 and standard deviation 5. What score would a student need to be among the top 10% of all test scores?
Explanation & Answer
The scores on a particular test are normally distributed with mean of 73 and standard deviation 5. What score would a student need to be among the top 10% of all test scores?
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Find the z-score with a right tail of 10%
invNorm(0.9) = 1.2816
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Find the correspondiing score value
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x = z*s + u
x = 1.2816*5 + 73 = 79.4
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Ans: score >= 79.4
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