Use the Given Process Data to Construct a Control Chart

question 21

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.
$\begin{array}{l|lllll|l|l}S&&&A&&&M&R\\\hline1&6.3&6.8&6.9&6.8&6.9&6.74&0.5\\2 & 6.3 & 6.6 & 6.6 & 6.3 & 7.0&6 .56 & 0.7 \\3 & 6.8 & 6.7 & 7.0 & 6.5 & 7.0 & 6.8 & 0.5\\4 & 7.0 & 6.7 & 6.7 & 6.8 & 6.8 & 6.8 & 0.3 \\5 & 6.8 & 6.8 & 6.6 & 6.5 & 6.4&6 .62 & 0.4 \\6 & 6.8 & 6.7 & 6.6 & 6.3 & 6.9&6 .66 & 0.6\\7 & 7.3 & 7.3 & 7.4 & 7.4 & 7.0&7 .28 & 0.4 \\8 & 7.2 & 7.0 & 7.2 & 6.9 & 7.1&7 .08 & 0.3 \\9 & 7.3 & 7.6 & 7.1 & 7.4 & 7.6 & 7.4 & 0.5\\10 & 7.2 & 7.6 & 7.5 & 7.6 & 7.1 & 7.4 & 0.5 \\11 & 7.2 & 7.2 & 7.4 & 7.0 & 7.0&7 .16 & 0.4 \\12 & 7.5 & 7.4 & 7.4 & 7.6 & 7.1 & 7.4 & 0.5\\\end{array}$

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Definitions:

Left Atrium

A chamber among the heart's four, responsible for accepting blood enriched with oxygen from the lungs and propelling it into the left ventricle.

Congestive Heart

A condition, often termed congestive heart failure, where the heart is unable to pump blood efficiently, leading to fluid buildup in various parts of the body.

Myocardial Infarction

A medical condition commonly known as a heart attack, caused by the interruption of blood flow to a part of the heart.

Swollen Ankles

A condition characterized by an abnormal enlargement of the ankles, often due to fluid accumulation, injury, or inflammation.