SOLUTION: It has been found that IQ scores are normally distributes with a mean of 108 and a standard deviation of 16 points. A person must score in the upper 2% of the population in an I

Question 406302: It has been found that IQ scores are normally distributes with a mean of 108 and a standard deviation of 16 points.
A person must score in the upper 2% of the population in an IQ test to qualify for membership in Mensa. What is the minimum score that one has to achieve in order to qualify for Mensa?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It has been found that IQ scores are normally distributes with a mean of 108 and a standard deviation of 16 points.
A person must score in the upper 2% of the population in an IQ test to qualify for membership in Mensa. What is the minimum score that one has to achieve in order to qualify for Mensa?
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Find the z-score with a right-tail of 0.02.
invNorm(0.98) = 2.0537
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Find the corresponding IQ score:
x = zs + u
x = 2.0537*16 + 108
x = 140.86
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Cheers,
stan H.
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