A state meat inspector in Iowa has been given the assignment of estimating the mean not weight of packagers 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 of0.03 pounds.

a. What is the estimated population mean?

b. Determine a 95 percent confidence interval for the population mean.