Question 343433: A state meat inspector in Iowa has been given the assignment of estimating the mean
net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that
the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean
weight to be 3.01 pounds, with a standard deviation of 0.03 pounds.
a. What is the estimated population mean?
b. Determine a 95 percent confidence interval for the population mean.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A state meat inspector in Iowa has been given the assignment of estimating the mean
net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that
the weights cannot be precisely 3 pounds. A sample of 36 packages reveals the mean
weight to be 3.01 pounds, with a standard deviation of 0.03 pounds.
a. What is the estimated population mean?
Ans: 3 lbs
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b. Determine a 95 percent confidence interval for the population mean
x-bar = 3.01
E = (invT0.975 with df = 35)*(0.03/sqrt(36)) = 2.0301*0.005 = 0.0102
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95% CI: 3.01-0.0102 < u < 3.01+0,0102
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Cheers,
Stan H.
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