document.write( "Question 1159795: Test scores are normally distributed with a mean of 76 and a standard deviation of 10.
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document.write( "a. In a group of 230 tests, how many students score above 96?
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document.write( "b. In a group of 230 tests, how many students score below 66?
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document.write( "c. In a group of 230 tests, how many students score within one standard deviation of the mean? \n" );
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Algebra.Com's Answer #782868 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "a. In a group of 230 tests, how many students score above 96? \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "On your TI-84, 2ND VARS\r\n" ); document.write( "\r\n" ); document.write( "normalcdf(96,1E99,76,10) <-- the \"E\" to use is 2ND then the comma key\r\n" ); document.write( "\r\n" ); document.write( "0.022759962\r\n" ); document.write( "\r\n" ); document.write( "multiply by 230\r\n" ); document.write( "\r\n" ); document.write( "5.232514263\r\n" ); document.write( "\r\n" ); document.write( "Round down to 5 students.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------\r\n" ); document.write( "\r\n" ); document.write( "b. In a group of 230 tests, how many students score below 66? \r\n" ); document.write( "\r\n" ); document.write( "normalcdf(-1E99,66,76,10)\r\n" ); document.write( "\r\n" ); document.write( "0.1586552596\r\n" ); document.write( "\r\n" ); document.write( "multiply by 230\r\n" ); document.write( "\r\n" ); document.write( "36.4907097\r\n" ); document.write( "\r\n" ); document.write( "Round down to 36 students.\r\n" ); document.write( "\r\n" ); document.write( "--------------------------\r\n" ); document.write( "\r\n" ); document.write( "c. In a group of 230 tests, how many students score within one standard deviation of the mean? \r\n" ); document.write( "\r\n" ); document.write( "That's between 76-10=66 and 76+10=86\r\n" ); document.write( "\r\n" ); document.write( "normalcdf(66,86,76,10)\r\n" ); document.write( "\r\n" ); document.write( "0.682689809\r\n" ); document.write( "\r\n" ); document.write( "multiply by 230\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "157.0185806\r\n" ); document.write( "\r\n" ); document.write( "Round down to 157 students.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |