(Situation E) a Machine at K-Company Fills Boxes with Bran

Short Answer

(Situation E) A machine at K-Company fills boxes with bran flake cereal. The target weight for the filled boxes is 24
ounces. The company would like to use control charts to monitor the performance of the machine. The company decides
to sample and weigh 10 consecutive boxes of cereal at randomly selected times over a two-week period. Twenty
measurement times are selected and the following information is recorded. $$\begin{array} { c c c c c c } \hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \\\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \\2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \\3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \\4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \\5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \\6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \\7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \\8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \\9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \\10 & 24.2 & 0.60 & 20 & 24.2 & 1.01 \\\hline\end{array}$$
-Calculate the centerline for constructing the $\bar { x } \text {-chart. }$