document.write( "Question 387978: IQ test scores are standardized to produce a normal
\n" ); document.write( "distribution with a mean of u=100 and a standard
\n" ); document.write( "deviation of 0=15. Find the proportion of the population
\n" ); document.write( "in each of the following IQ categories.
\n" ); document.write( "a. Genius or near genius: IQ over 140
\n" ); document.write( "b. Very superior intelligence: IQ from 120 to 140
\n" ); document.write( "c. Average or normal intelligence: IQ from 90 to 109
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Algebra.Com's Answer #274313 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "*Note: \"z+=+blue%28x+-+mu%29%2Fblue%28sigma%29\" \"mu\" = 100, \"sigma\"= 15
\n" ); document.write( "Converting z score to a P decimal using the manner You choose to find percentage
\n" ); document.write( "a. Genius or near genius: IQ over 140
\n" ); document.write( " z > 40/15 = 2.6667 P(z > 2.6667) = .0038 3.8% of the population
\n" ); document.write( "b. Very superior intelligence: IQ from 120 to 140 (z = 20/15 and z = 40/15)
\n" ); document.write( " P( 1.333 < z <2.6667) = .0874 8.74% of the population
\n" ); document.write( "c. Average or normal intelligence: IQ from 90 to 109 (z = 9/15 and z = -10/15)
\n" ); document.write( " ( - .6667 < z < .6) = .4733 47.33% of the population \n" ); document.write( "
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