STAT PROJECT 3

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  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).      

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STAT PROJECT 3

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