document.write( "Question 1196428: Composite scores on the ACT have an average of 20.6 and a variance of 36.\r
\n" );
document.write( "\n" );
document.write( "Calculate the z-score for a student with a composite ACT score of 25.1. Round your answer to two decimal places. \n" );
document.write( "
Algebra.Com's Answer #829243 by math_tutor2020(3835) ![]() You can put this solution on YOUR website! \n" ); document.write( "mu = 20.6 = mean \n" ); document.write( "sigma = 6 = standard deviation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note: \n" ); document.write( "sigma = sqrt(variance) = sqrt(36) = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's compute the z score for x = 25.1 \n" ); document.write( "z = (x - mu)/sigma \n" ); document.write( "z = (25.1 - 20.6)/6 \n" ); document.write( "z = 4.5/6 \n" ); document.write( "z = 0.75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 0.75 \n" ); document.write( " \n" ); document.write( " |