A soft-drink bottling company is interested in monitoring the amount of cola injected into 16-ounce bottles by a particular filling head.The process is entirely automated and operates 24 hours a day. At 6 A.M. and 6 P.M.

each day, a new dispenser of carbon dioxide capable of producing 20,000 gallons of cola is hooked up to the filling machine. In order to monitor the process using control charts, the company decided to sample five con secutive bottles of cola each hour beginning at 6:15 A.M.

(i.e., 6:15 A.M.,7:15 A.M., 8:15 A.M., etc.).The data forthe first day are given in the table at left. An SPSS descriptive statistics printout is also provided on page 681.

a. Will the rational subgrouping strategy that was used enable the company to detect variation in fill caused by differences in the carbon dioxide dispensers? Explain.

b. Construct an R-chart from the data.

c. What does the R-chart indicate about the stabilit!

of the filling process during the time when the data were collected? Justify your answer.

d. Should the control limit(s) be used to monitor future process output'? Explain.

e. Given your answer to part

c, should an ?-chart be constructed from the given data? Explain.