Question

A state meat inspector in Iowa has been given theassignment of estimating the mean nt weight of packagers of groundchuck labeled "3 pounds." Of course, he realizes that the weightscannot be precisely 3 pounds. A sample of 36 packages revealsthe 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 thepopulation mean.

Answer 1

(a) μ = 3.01 pounds

(b) 2.99985 to 3.02015 pounds

Explanation:

a) The estimate population mean (μ) is given by the point estimate mean found in the sample, which is 3.01 pounds.

μ = 3.01 pounds.

b) At a 95% confidence interval, with n=36, z= 2.03 and the confidence interval is given by:

`x\pm z*(s)/(\sqrt n)\\3.01\pm 2.03(0.03)/(\sqrt 36)\\2.99985\ to\ 3.02015\ pounds`