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

question 77

Essay

(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. $$\begin{array} { c c c c c c } \hline \text { Time } & \text { Mean (oz) } & \text { Range (oz) } & \text { Time } & \text { Mean (oz) } & \text { Range (oz) } \\\hline 1 & 23.8 & 1.05 & 11 & 24.5 & 1.21 \\2 & 24.5 & 0.85 & 12 & 24.7 & 0.65 \\3 & 23.9 & 1.12 & 13 & 24.0 & 0.55 \\4 & 24.2 & 0.95 & 14 & 25.5 & 3.21 \\5 & 23.7 & 1.22 & 15 & 24.2 & 1.25 \\6 & 23.5 & 1.42 & 16 & 24.4 & 1.35 \\7 & 24.2 & 1.02 & 17 & 24.5 & 0.98 \\8 & 24.4 & 1.10 & 18 & 25.0 & 1.30 \\9 & 24.1 & 0.75 & 19 & 24.1 & 0.88 \\10 & 24.2 & 0.60 & 20 & 24.2 & 1.01\end{array}$$
-Calculate the centerline of the $\mathrm { R } - \text { chart }$

---

Definitions:

Writer-centred

An approach or style of writing that prioritizes the writer's perspective, context, or objectives over the reader's needs or understanding.

Social Message

A social message is a concept or idea intended to be conveyed to the public through various forms of communication, aiming to inform, educate, or inspire communal awareness on social issues.

Goodwill

The intangible value of a business or brand, often reflecting reputation, customer relations, and other non-physical assets.

Appendix

A supplementary material at the end of a book, document, or report, containing additional information.