Use the Given Process Data to Construct a Control Chart

question 37

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below. $\begin{array} { l|llll|l| } S&&A&&&M&R\\\hline 1&11.2&11.7&11.8&11.7&11.6&0.6\\2&11.8&11.3&11.6&11.6&11.575&0.5\\3&11.3&12.0&11.8&11.7&11.7&0.7\\4&12.1&11.6&12.1&12.0&11.95&0.5\\5&11.8&11.8&11.9&11.9&11.85&0.1\\6&12.0&11.9&11.8&11.7&11.85&0.3\\7&11.6&12.0&11.9&11.8&11.825&0.4\\8&11.5&12.1&11.9&12.0&11.875&0.6\\9&12.1&12.1&11.7&11.9&11.95&0.4\\10&11.7&12.0&11.6&11.9&11.8&0.4\\11&12.1&12.4&11.9&12.2&12.15&0.5\\12&12.5&12.0&12.4&12.3&12.3&0.5\\13&12.5&12.0&12.1&12.1&12.175&0.5\\14&12.4&12.0&12.0&12.4&12.2&0.4\\15&12.4&12.4&12.6&12.1&12.375&0.5\end{array}$

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Definitions:

Trait Theory

A theory in psychology focused on the identification and measurement of stable characteristics that individuals exhibit, known as traits.

Selfish Impulses

Inclinations or urges to act in a way that prioritizes one's own interests over the welfare of others.

Emotional Stability

A personality trait indicative of how much a person's emotions fluctuate and how easily they can emotionally recover from stress or negative situations.

Extraversion/Introversion

Personality traits that describe how outgoing and social or how reserved and solitary an individual is.