Question 543415: On a standardized test of mathematical ability, Kim scored a 40, and John scored a 20.60. The distribution of test scores for the population is normal, with a mean of 33 and a standard deviation of 6.3
The percentatge of the population which scored below John is z= x- x bar/standard deviation.
The percentage of the population which scored above Kim is ?
The percentage of t he population between joh and kim is ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! On a standardized test of mathematical ability, Kim scored a 40, and John scored a 20.60.
The distribution of test scores for the population is normal,
with a mean of 33 and a standard deviation of 6.3
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Kim: z(40) = (40-33)/6.3 = 1.11
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John: z(20.6) = (20.6-33)/6.3 = -1.9683
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The percentage of the population which scored below John ?
? = P(z < -1.9683) = 0.0245
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The percentage of the population which scored above Kim is ?
? = P(z > 1.11) = 0.1335
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The percentage of the population between joh and kim is ?
? = 1-(0.0245+0.1335) = 0.8420
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Cheers,
Stan H.
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