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A Procter and Gamble factory process fills boxes with detergent. Construct an appropriate set of control...

A Procter and Gamble factory process fills boxes with detergent. Construct an appropriate set of control charts to monitor the process. Historical data for fill weight (in ounces) of eight samples is presented below. A sample size of six was used.

Sample Sample Mean Sample Range 1 15.80 0.42 2 16.10 0.38 3 16.02 0.08 4 15.95 0.15 5 16.12 0.42 6 16.18 0.23 7 15.87 0.36 8 16.20 0.40

a. Compute the limits for both an R-chart and x-bar chart by hand. Compare the sample results to the limits of the charts.

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