Project#3 Methods of Quality Improvement Individual Project 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. [Feel free to do it manually, if you cannot use the sample selection procedure in the software. ] Using the sample data, accomplish the following: Part 1 1. Construct an x-barchart. 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-barchart. 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. Analyze the pattern of 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. Report: Submit your findings and analysis in a report format (used in Project 1).

# STAT PROJECT 3

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