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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.

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