The demand for bottled water increases during the hurricane season in Florida. The operations manager at a plant that bottles drinking water wants to be sure that the filling process for 1-gallon bottles (1 gallon is approximately 3.785 liters) is operating properly.
Currently, the company is testing the volumes of one-gallon bottles. Suppose that a random sample of 75 bottles is tested, and the measurements are recorded in the data file Water.
a. Is there evidence that the data are not normally distributed?
b. Find a minimum variance unbiased point estimate of the population mean.
c. Find a minimum variance unbiased point estimate of the population variance.