The data in the following table represent individual observations on molecular weight taken hourly from a chemical process.

a)?Set up a tabular CUSUM for the mean of this process. Design the CUSUM chart using the standardized values h = 4.77 and k = 0.5. Interpret this chart.b)?Is the estimate of ? used in part (a) of this problem reasonable?c)?Set up an EWMA control chart using ? = 0.2 and L = 3 for this process. Interpret theresults.

A machine is used to fill cans with an energy drink. A single sample can is selected every hour and the weight of the can is obtained. Since the filling process is automated, it has very stable variability, and long-term experience indicates that ? = 0.05 oz. The individual observations for 24 hours of operation are shown in the following table.

a. Assuming that the process target is 8.02 oz, set up a tabular CUSUM chart for this process. Design the chart using the standardized values ? = 4.77 and ? = 0.5. Give the formulas you would use to calculate the upper and lower CUSUMs. Also, use Excel to plot the relevant charts.

b. Does the value of ? = 0.05 seem reasonable for this process?

c. Rework part (a) using the standardized CUSUM and parameters of ? = 8.01 and ? = 0.25. Compare the results with those obtained previously in part (a)

Transcribed Image Text:

Observation no. 1 2 3 4 5 6 7 ō 600L 8 9 10 X 1045 1055 1037 1064 1095 1008 1050 1087 1125 1146 Observation no. 11 12 13 14 15 16 17 18 19 20 X 1139 1169 1151 1128 1238 1125 1163 1188 1146 1167 Observation no. 1 2 3 4 5 6 7 ō 600L 8 9 10 X 1045 1055 1037 1064 1095 1008 1050 1087 1125 1146 Observation no. 11 12 13 14 15 16 17 18 19 20 X 1139 1169 1151 1128 1238 1125 1163 1188 1146 1167

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Design the CUSUM Chart corare Cumulative Value NonZero at i C Max 0 x o K C c ... View the full answer