# Question: A machine is used to fill cans with motor oil

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?

(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?

## Answer to relevant Questions

Show that if = 2/(w + 1), then the average “ages” of the data used in computing the statistics zi and Mi are identical. Consider the valve failure data in Example 7.6. Set up a one-sided CUSUM chart for monitoring and detecting an increase in failure rate of the valve. Assume that the target value of the mean time between failures is 700 ...Viscosity measurements on a polymer are made every 10 minutes by an on-line viscometer. Thirty-six observations are shown in Table 9E.5 (read down from left). The target viscosity for this process is µ0 = 3,200. (a) ...The data in Table 10E.8 are molecular weight measurements made every two hours on a polymer (read down, then across from left to right). (a) Calculate the sample autocorrelation function and provide an interpretation. (b) ...The data shown in Table 10E.10 are temperature measurements made every 2 minutes on an intermediate chemical product (read down, then across from left to right). (a) Calculate the sample autocorrelation function. Interpret ...Post your question