document.write( "Question 1147128: Distribution with a mean of 123 and standard deviation of 8 is transformed into a standardized distribution with a mean of 54 and standard deviation of 5. Find the new standardized score when the original value is X=130\r
\n" ); document.write( "\n" ); document.write( "My solution:
\n" ); document.write( "130-123/8 = 0.875\r
\n" ); document.write( "\n" ); document.write( "In the standardized distribution: 5*0.875=4.375
\n" ); document.write( "So new score is 54 + 4.375= 58. 375 ?
\n" ); document.write( "

Algebra.Com's Answer #768484 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Yes, that's how you do it.
\n" ); document.write( "The z score for the value of 130 in the original distribution is 7/8
\n" ); document.write( "Therefore, that has to be the z-score of the new value in the second distribution.
\n" ); document.write( "Since the z-score is (x-mean)/sd you get the result you got.
\n" ); document.write( "
\n" ); document.write( "
\n" );