Find the observed significance level (p-value) for the test of the mean filling weight in Examples 7.3 and 7.5. Interpret the result.

Examples 7.5

Refer to the quality-control test set up in Example 7.3. Recall that a machine is designed to discharge a mean of 12 ounces of cereal per box. A sample of 100 boxes yielded the fill amounts (in ounces) shown in Table 7.3. Use these data to conduct the following test:

Example 7.3

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.

Transcribed Image Text:

Ho: μ = 12 (Population mean fill amount is 12 ounces) H₁: 12 (Machine is under- or overfilling the box)