document.write( "Question 1122418: 1.Suppose the weights of packages of lettuce coming off a packaging line have a normal distribution with mean 8.1 ounces and standard deviation .1 ounce. \r
\n" );
document.write( "\n" );
document.write( "What is the probability that a package of lettuce came off the packaging line weigh more than 8.25 ounces? \n" );
document.write( "
Algebra.Com's Answer #738558 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! With a standard deviation of .1 oz, the question simplifies to \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"what is the area to the right of 1.5 standard deviations from the median?\" See how 8.25-8.1=.15? And .15/.1 is 1.5? This is 1.5 STDEV away from median.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We need to use a calculator or Z score table. The Z-score for 1.5 is ..9332, the area up to that point. And 1-.9332 = .0668 or 6.68% chance. We subtract from 1 as the question asked for the chance of a 'greater' result. You will get he same answer by using a Z value of -1.5 with no need to subtract from 1, but that seems to confuse students a bit. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See http://users.stat.ufl.edu/~athienit/Tables/Ztable.pdf for a Z-table \n" ); document.write( " |