- #1
Potatochip911
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Homework Statement
A business owner makes jars with weights that follow a normal distribution with a standard deviation of 8 pounds. In a random sample of 64 jars what is the probability that the sample mean differs from the population mean by no more than 1 pound?
Homework Equations
##z=\frac{x-\bar{x}}{\frac{\sigma}{\sqrt{n}}}##
The Attempt at a Solution
n=64
##\sigma##=8
mean=##b##
##z_{2}=\frac{(b+1)-b}{\frac{8}{\sqrt{64}}}=0.125##
##z_{1}=\frac{(b-1)-b}{\frac{8}{\sqrt{64}}}=-0.125##
##P(-0.125<z<0.125)=P(z<0.125)-P(z<-0.125)=0.1232##
Not really sure what I'm doing wrong here but this is not even close to the correct answer.
Edit: Well this is really embarrassing I did the actual arithmetic wrong lol its 1/1 and -1/1 not 1/8 and -1/8
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