The Fill Size for a Small Bag of Peanuts Distributed

Essay

The fill size for a small bag of peanuts distributed by a popular airline is 50 grams. The producer wishes to set up a set of control charts for this process and collects the data shown in the table. Develop the proper statistical quality control charts. Is the process in control?
$\begin{array}{c|c|c|c|c|c}\text { Sample } & \text { Item \#1 } & \text { Item \#2 } & \text { Item \#3 } & \text { Item \#4 } & \text { Sum } \\\hline 1 & 54.5 & 54.3 & 53.8 & 50.4 & 213.00 \\\hline 2 & 50.6 & 53.5 & 53.2 & 54.9 & 212.20 \\\hline 3 & 51.1 & 54.3 & 50.4 & 50.7 & 206.50 \\\hline 4 & 52.7 & 52.1 & 51.3 & 51.0 & 207.10 \\\hline 5 & 51.7 & 51.2 & 54.7 & 54.3 & 211.90 \\\hline 6 & 51.1 & 51.5 & 54.7 & 50.4 & 207.70 \\\hline 7 & 54.0 & 52.3 & 54.7 & 51.4 & 212.40 \\\hline 8 & 53.2 & 50.4 & 53.4 & 51.4 & 208.40 \\\hline 9 & 51.9 & 50.2 & 50.2 & 52.9 & 205.20 \\\hline\end{array}$