A state meat inspector in Iowa has would like to estimate the mean net weight of packages of ground chuck labeled “3 pounds.” Of course, he realizes that the weights cannot always 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 pound.

a. What is the point estimate of the population mean?

b. What is the margin of error for a 95% confidence interval estimate?

c. Determine a 95% confidence interval for the population mean.