A manufacturer of cereal wants to test the performance of one of its filling machines.

The machine is designed to discharge a mean amount of 12 ounces per box, and the manufacturer wants to detect any departure from this setting. This quality study calls for randomly sampling 100 boxes from today’s production run and determining whether the mean fill for the run is 12 ounces per box. Set up a test of hypothesis for this study, using α = .01.