document.write( "Question 194668This question is from textbook Saxon Algebra 2
\n" ); document.write( ": a set of test scores is normally distributed with a mean of 74 and a standard deviation of 8. Between what two scores does the middle 95% of the data fall? \n" ); document.write( "
Algebra.Com's Answer #146115 by Edwin McCravy(20054)\"\" \"About 
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a set of test scores is normally distributed with a mean of 74 and a standard deviation of 8. Between what two scores does the middle 95% of the data fall?
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document.write( "\"mu=74\",\"sigma=8\"\r\n" );
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document.write( "From the table we get that .025 of 2.5% of the data lies to the\r\n" );
document.write( "left of z=-1.96, and .025 or 2.5% of the data lies to the\r\n" );
document.write( "right of z=+1.96\r\n" );
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document.write( "To find the two x values that corresponds to z=-1.96 and z=+1.96  \r\n" );
document.write( "we use the formula:\r\n" );
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document.write( "\"x+=+mu+%2B+sigma%2Az\"\r\n" );
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document.write( "For z = -1.96\r\n" );
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document.write( "\"x+=+mu+%2B+sigma%2Az\" \r\n" );
document.write( "\"x+=+74+%2B+8%2A%28-1.96%29\"\r\n" );
document.write( "\"x+=+58.32\"\r\n" );
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document.write( "For z = +1.96\r\n" );
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document.write( "\"x+=+mu+%2B+sigma%2Az\" \r\n" );
document.write( "\"x+=+74+%2B+8%2A%281.96%29\"\r\n" );
document.write( "\"x+=+89.68\"\r\n" );
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document.write( "So the middle 95% of the scores lie between \r\n" );
document.write( "58.32 and 89.68.  Maybe you'd round those and\r\n" );
document.write( "make it between 58 and 90.\r\n" );
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document.write( "Edwin
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