A Proctor and Gamble Factory Process Fills Boxes with Detergent

Essay

A Proctor 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 eight was used. $$\begin{array} { | c | c | c | } \hline \text { Sample } & \text { Sample Mean } & \text { Sample Range } \\\hline 1 & 15.80 & 0.42 \\\hline 2 & 16.10 & 0.38 \\\hline 3 & 16.02 & 0.08 \\\hline 4 & 15.95 & 0.15 \\\hline 5 & 16.12 & 0.42 \\\hline 6 & 16.18 & 0.23 \\\hline 7 & 15.87 & 0.36 \\\hline 8 & 16.20 & 0.40 \\\hline\end{array}$$
a.Compute the limits for both an R-chart and x-bar chart. Compare the sample results to the limits of the charts.
b.Briefly explain what the quality control charts tell you. What actions, if any, would you take?