document.write( "Question 654024: The lifetime of a certain manufacturer's washing machine is normally distributed with mean 4 years. Only 15 percent of all these washing machines last at least 5 years. What is the standard deviation of the lifetime of a washing machine made by this manufacturer?\r
\n" );
document.write( "\n" );
document.write( "Thanks so much!!! \n" );
document.write( "
Algebra.Com's Answer #408624 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The lifetime of a certain manufacturer's washing machine is normally distributed with mean 4 years. Only 15 percent of all these washing machines last at least 5 years. What is the standard deviation of the lifetime of a washing machine made by this manufacturer? \n" ); document.write( "------ \n" ); document.write( "Find the z-value with a right tail of 15%: invnorm(0.85) = 1.0364 \n" ); document.write( "----- \n" ); document.write( "Solve for standard deviation using x = z*s + u \n" ); document.write( "5 = 1.0364*s + 4 \n" ); document.write( "----- \n" ); document.write( "1.0364*s = 1 \n" ); document.write( "s = 0.9648 \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |