document.write( "Question 787524: How do I solve the following problem based on the formula, Z = (x-m)/sd\r
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document.write( "The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed? \n" );
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Algebra.Com's Answer #478221 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed? \n" ); document.write( "------------------------- \n" ); document.write( "Find the z-score with a 90% left-tail. \n" ); document.write( "invNorm(0.9) = 1.2816 \n" ); document.write( "------ \n" ); document.write( "Find the corresponding score value \n" ); document.write( "You want the score 1.2816 standard deviations above the mean. \n" ); document.write( "----- \n" ); document.write( "x = 1.2816*100 + 500 \n" ); document.write( "x = 128.16 + 500 \n" ); document.write( "x = 628.16 \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |