A machine is used to fill cans with an energy drink. A single sample can is selected

Question:

A machine is used to fill cans with an energy drink. A single sample can is selected every hour and the weight of the can is obtained. Since the filling process is automated, it has very stable variability, and long-term experience indicates that σ = 0.05 oz. the individual observations for 24 hours of operation are shown in Table 5E.11.

a. Assuming that the process target is 8.02 oz, create a CUSUM chart for this process. Design the chart using the standardized values h = 4.77 and k = 0.5.

b. Does the value of σ = 0.05 seem reasonable for this process?