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The Fill Size for a Small Bag of Peanuts Distributed

question 12

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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?  Sample  Item #1  Item #2  Item #3  Item #4  Sum 154.554.353.850.4213.0250.653.553.254.9212.2351.154.350.450.7206.5452.752.151.351.0207.1551.751.254.754.3211.9651.151.554.750.4207.7754.052.354.751.4212.4853.250.453.451.4208.4951.950.250.252.9205.2\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}


Definitions:

Income Assistance

Financial support provided by governmental or non-profit organizations to individuals with insufficient income to meet their basic needs.

War on Poverty

A set of government policies and programs introduced in the 1960s in the United States aiming to reduce poverty and improve the living standards of Americans.

Poverty Rate

The percentage of the population that lives below the national poverty line, a measure reflecting the inability to afford basic needs.

Government Spending

The total amount of money spent by the government on various services, initiatives, and projects, including defense, education, public safety, and infrastructure.

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