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Twenty-Five Samples of Size 4 Were Drawn from a Production

question 51

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Twenty-five samples of size 4 were drawn from a production process. For each sample, the mean and range were computed as shown below.
 Sample 12345678910111213xˉj2124201820212325152025214Rj8127196118871391325 Sample 141516171819202122232425xˉj.281422242619142817262915Rj1214178211214117152119\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 21 & 24 & 20 & 18 & 20 & 21 & 23 & 25 & 15 & 20 & 25 & 21 & 4 \\R _ { j } & 8 & 12 & 7 & 19 & 6 & 11 & 8 & 8 & 7 & 13 & 9 & 13 & 25 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j . } & 28 & 14 & 22 & 24 & 26 & 19 & 14 & 28 & 17 & 26 & 29 & 15 \\R _ { j } & 12 & 14 & 17 & 8 & 21 & 12 & 14 & 11 & 7 & 15 & 21 & 19 \\\hline\end{array}\end{array}
-Draw the xˉ\bar { x } chart on a control chart


Definitions:

Political Track

A course of action or strategy employed in the domain of politics, often referring to a specific policy or series of political maneuvers.

Union Side

The Union Side refers to the northern states of the United States during the American Civil War, which fought against the seceding Confederate states to preserve the Union.

Immigrants

Individuals who move from one country to another, often for permanent residence, seeking better living conditions, employment, or education.

Abolitionist

An individual or movement advocating for the end of slavery and the emancipation of slaves.

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