The Fill Size for a Small Bag of Peanuts Distributed

question 49

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?
$\begin{array}{c|c|c|c|c|c}\text { Sample } & \text { Item \#1 } & \text { Item \#2 } & \text { Item \#3 } & \text { Item \#4 } & \text { Sum } \\\hline 1 & 54.5 & 54.3 & 53.8 & 50.4 & 213.00 \\\hline 2 & 50.6 & 53.5 & 53.2 & 54.9 & 212.20 \\\hline 3 & 51.1 & 54.3 & 50.4 & 50.7 & 206.50 \\\hline 4 & 52.7 & 52.1 & 51.3 & 51.0 & 207.10 \\\hline 5 & 51.7 & 51.2 & 54.7 & 54.3 & 211.90 \\\hline 6 & 51.1 & 51.5 & 54.7 & 50.4 & 207.70 \\\hline 7 & 54.0 & 52.3 & 54.7 & 51.4 & 212.40 \\\hline 8 & 53.2 & 50.4 & 53.4 & 51.4 & 208.40 \\\hline 9 & 51.9 & 50.2 & 50.2 & 52.9 & 205.20 \\\hline\end{array}$

---

Definitions:

Minimum Time

The shortest duration in which a specific task or activity can be accomplished.

Direct Instruction

A teaching method that is structured, sequenced, and led by teachers, involving explicit teaching of specific skills or concepts.

High Expectations

The anticipation of a high level of performance or achievement from someone or something, which can motivate or pressure.

Social Development

The process by which individuals learn to interact with others and navigate the social structures of their community, encompassing changes in social behavior, relationships, and understanding of societal norms.