document.write( "Question 353733: Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 63 and 93, which correspond to z scores (often called the standardized scores) of –1 and 1.5, respectively. Find the mean and standard deviation of the distribution of raw exam scores.
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Algebra.Com's Answer #252869 by Fombitz(32388) $\"\"$ $\"About$

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$\"z=%28x-mu%29%2Fsigma\"$
\n" ); document.write( " $\"-1=%2863-mu%29%2Fsigma\"$
\n" ); document.write( " $\"1.5=%2893-mu%29%2Fsigma\"$
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\n" ); document.write( "1. $\"-sigma%2Bmu=63\"$
\n" ); document.write( "2. $\"1.5%2Asigma%2Bmu=93\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"1.5%2Asigma%2Bmu%2Bsigma-mu=93-63\"$
\n" ); document.write( " $\"2.5%2Asigma=30\"$
\n" ); document.write( " $\"highlight%28sigma=12%29\"$
\n" ); document.write( "Then use either equation to solve for $\"mu\"$ .
\n" ); document.write( " $\"-12%2Bmu=63\"$
\n" ); document.write( " $\"highlight%28mu=75%29\"$ \n" ); document.write( "

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