Project #3 – Methods of Quality Improvement

The data set shows 48 samples (for 48 hours) of size n=7 collected to test the production process of a filling machine for soft drink bottling. The target filling is 20 fluid ounces.

Your tasks :

Select a random sample of 24 hours of data. [You may have to do it manually. ] Using the sample data, accomplish the following:

Part 1

1. Construct an x - bar chart. Need to use graph paper.
2. Calculate and plot the centerline and upper and lower control limits for the charts.
3. Calculate and plot the A, B and C zone boundaries of the x-bar chart.
4. Plot the 24 sample means on the x- bar chart.
5. Based on x- bar findings, is the process under statistical control? Explain and justify your answer.
   Part 2
6. Construct an R-chart. Need to use graph paper.
7. Calculate and plot the centerline and upper and lower control limits for the charts.
8. Calculate and plot the A, B and C zone boundaries of the R-chart.
9. Plot the sample ranges on the R-chart.
10. Use the pattern analysis rules (Figure 12.21, Page 813) to analyze the R-chart.
11. Based on R-chart findings, is the process under statistical control? Explain and justify your answer.
    Part 3
12. Theoretically, what is the difference between x-bar chart and R-chart? Explain briefly.
13. How are they used? That is, what is their purpose? Explain briefly.
    Part 4
14. Compare the findings from your x-bar chart and R-chart.
15. Explain why rational sub-groupings are used in constructing control charts?
16. What are the major findings from the study? Explain briefly.
17. What are your conclusions from the study? Explain briefly.

Price: $10.49

Solution: The downloadable solution consists of 6 pages, 449 words and 2 charts.
Deliverable: Word Document