A soft-drink bottling company is interested in monitoring the amount of cola injected into 16-ounce bottles by
Question:
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 6:00 a.m. and 6:00 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. To monitor the process using control charts, the company decided to sample five consecutive 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 for the first day are saved in the file. An SPSS descriptive statistics printout for the data is shown below.
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?
b. Construct an R-chart from the data.
c. What does the R-chart indicate about the stability 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 x̅-chart be constructed from the given data? Explain.
Step by Step Answer:
Based on the image youve shared it appears to be the descriptive statistics printout for 24 samples of cola each containing 5 consecutive measurements Lets address each of your questions a The rationa...View the full answer
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
