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

Calculate expected values and understand their significance in hypothesis testing.

Apply the chi-squared test for goodness-of-fit and for contingency tables, understanding the interpretation of the test statistic and p-value.

Comprehend the rule of 5 for expected cell frequencies in contingency tables.

Understand the concept of degrees of freedom and its calculation for chi-squared tests.

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Definitions:

Environmental Changes

Alterations in the external surroundings that can impact an organization's strategy, operations, or sustainability efforts.

Qualitative Models

Approaches in research and analysis that focus on the qualities, characteristics, and meanings of phenomena rather than numerical data.

Stable Markets

Markets characterized by steady demand, predictable competition, and consistent growth, with minimal fluctuations.

Demand For Labour

The total amount of workers that employers want to hire at a given wage rate and time.