A machine is used to fill cans with motor oil additive. A single sample can is obtained. Since the filling process is automated, it has very stable variability, and long experience indicates that σ = 0.05 oz. The individual observations for 24 hours of operation are shown in Table 9E.2.

(a) Assuming that the process target is 8.02 oz, set up a tabular CUSUM for this process. Design the CUSUM using the standardized values h = 4.77 and k = ½.
(b) Does the value of σ = 0.05 seem reasonable for this process?

TABLE 9E.2 Fill Data for Exercise 9.4 Sample Number x Sample Number Number x 8,00 8.01 8.02 8.01 8.00 8.01 8.06 8.07 8.01 8.04 8.02 13 14 15 16 17 18 19 20 806 21 8.05 8.03 8.05 8.04 8.05 10 23 24 8.02 8.03 8.05 12