document.write( "Question 1176706: A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 984 and a standard deviation of 202. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 3.9. It is assumed that the two tests measure the same aptitude, but use different scales.\r
\n" ); document.write( "\n" ); document.write( "If a student gets an SAT score that is the 50-percentile, find the actual SAT score.
\n" ); document.write( "SAT score = \r
\n" ); document.write( "\n" ); document.write( "Round answer to a whole number.\r
\n" ); document.write( "\n" ); document.write( "What would be the equivalent ACT score for this student?
\n" ); document.write( "ACT score = \r
\n" ); document.write( "\n" ); document.write( "Round answer to 1 decimal place.\r
\n" ); document.write( "\n" ); document.write( "If a student gets an SAT score of 1206, find the equivalent ACT score.
\n" ); document.write( "ACT score = \r
\n" ); document.write( "\n" ); document.write( "Round answer to 1 decimal place.
\n" ); document.write( "

Algebra.Com's Answer #804396 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi\r\n" );
document.write( "SAT test are normally distributed with a mean of 984 and a standard deviation of 202\r\n" );
document.write( "ACT test are normally distributed with a mean of 20.9 and a standard deviation of 3.9\r\n" );
document.write( "\r\n" );
document.write( "50% SAT - score 984\r\n" );
document.write( "50% ACT - score 20.9\r\n" );
document.write( "\r\n" );
document.write( "SAt = 1206   z = (1206-984)/202 = 1.099\r\n" );
document.write( "ACT = 1.099*3.9 + 20.9 = 25.2\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );