SOLUTION: 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.
What is the probabilit
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What is the probabilit
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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.
What is the probability that a package of lettuce came off the packaging line weigh more than 8.25 ounces? Answer by FrankM(1040) (Show Source):
"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.
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.
See http://users.stat.ufl.edu/~athienit/Tables/Ztable.pdf for a Z-table
