document.write( "Question 871483: I need help with this question, thank you in advance!!! \r
\n" );
document.write( "\n" );
document.write( "A study has shown that 20% of all college textbooks cost at least $70. It is known that the standard deviation of the prices of the college textbook is $9.50. Assuming that prices of all college textbooks follows a normal distribution; find the mean price of all college textbooks. \n" );
document.write( "
Algebra.Com's Answer #525630 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! We are given Pr(X<70) = 0.20 or 20% \n" ); document.write( "consult z tables for z value associated with 0.20 \n" ); document.write( "z value is -0.84 \n" ); document.write( "we know that the z value is (X - mean of x) / standard deviation \n" ); document.write( "therefore \n" ); document.write( "-0.84 = (70 - mean) / 9.50 \n" ); document.write( "70 - mean = -0.84 * 9.50 = -7.98 \n" ); document.write( "-mean = -7.98 -70 \n" ); document.write( "mean = $77.98\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |