The Fill Size for a Small Bag of Peanuts Distributed

question 12

Multiple Choice

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. What are the upper and lower control limits of their X-bar chart? $\begin{array}{c|c|c|c|c|c}\text { Sample } & \text { Item \#1 } & \text { Item \#2 } & \text { Item \#3 } & \text { Item \#4 } & \text { Sum } \\\hline 1 & 54.5 & 54.3 & 53.8 & 50.4 & 213.0 \\\hline 2 & 50.6 & 53.5 & 53.2 & 54.9 & 212.2 \\\hline 3 & 51.1 & 54.3 & 50.4 & 50.7 & 206.5 \\\hline 4 & 52.7 & 52.1 & 51.3 & 51.0 & 207.1 \\\hline 5 & 51.7 & 51.2 & 54.7 & 54.3 & 211.9 \\\hline 6 & 51.1 & 51.5 & 54.7 & 50.4 & 207.7 \\\hline 7 & 54.0 & 52.3 & 54.7 & 51.4 & 212.4 \\\hline 8 & 53.2 & 50.4 & 53.4 & 51.4 & 208.4 \\\hline 9 & 51.9 & 50.2 & 50.2 & 52.9 & 205.2 \\\hline\end{array}$

• A)54.84, 49.85
• B)54.41, 50.32
• C)53.87, 50.78
• D)53.51, 51.18

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Definitions:

Significance

The degree to which a result from data collection or analysis indicates a meaningful pattern that can lead to a conclusion.

Critical F Value

A statistic used in the analysis of variance (ANOVA) tests, indicating the value beyond which data can be considered statistically significant.

Sum Of Squares

A statistical measure that quantifies the dispersion or variance of a set of numbers, by summing the squared differences from the mean.

Observations

The act of noticing and recording something, typically as part of a scientific study or research project.