document.write( "Question 376829: 1. Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.
\n" ); document.write( "a. What percentage of the people taking the test score between 400 and 500?
\n" ); document.write( "b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
\n" ); document.write( "c. A university will not admit a student who does not score in the upper 25% of those taking the test regardless of other criteria. What score is necessary to be considered for admission?
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Algebra.Com's Answer #268032 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "*Note: 
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document.write( "     z = 600-450 /100 = .5     NORMSDIST(0.5)  = .691462
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document.write( "     z = 400-450 /100 = -.5    NORMSDIST(-0.5) = .30854
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document.write( "P( -.5 < z <.5) = .691462 - .30854 = .3829  Or 38.29%
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document.write( "Receiving score of 630:
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document.write( "     z = 630-450 /100 = 1.8    NORMSDIST(1.8)  = .9641
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document.write( "96.41% score less and 3.59 % score better\r
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document.write( "upper 25%
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document.write( "z = NORMSINV(0.75)= .6745
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document.write( "    .6745 *100  + 450 = 517 Would need score >517 to be considered for admissions \n" );
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