Use the Given Process Data to Construct a Control Chart

question 1

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to fill small bottles to contain 20 ml yields the following data from a test of 4 bottles every hour.
$\begin{array} { l|llll|l| } S&&A&&&M&R\\\hline 1&19.9&20.1&20.2&20.3&20.125&0.4\\2&20.4&20.0&20.3&20.3&20.25&0.4\\3&20.0&20.7&20.4&20.3&20.35&0.7\\4&20.4&20.1&20.1&19.9&20.125&0.5\\5&19.9&19.8&19.6&19.5&19.7&0.4\\6&19.4&19.4&19.6&19.7&19.525&0.3\\7&19.8&19.4&19.6&19.7&19.625&0.4\\8&19.9&19.8&20.0&20.0&19.925&0.2\\9&20.2&20.3&20.1&20.3&20.225&0.2\\10&20.0&20.3&20.0&20.2&20.125&0.3\\11&20.3&20.5&20.1&20.2&20.275&0.4\\12&20.1&19.9&19.8&19.7&19.875&0.4\\13&19.5&19.8&19.7&19.6&1965&0.3\\14&19.4&19.8&19.8&19.4&19.4&0.4\\15&19.5&19.6&19.6&19.9&19.65&0.4\end{array}$

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Definitions:

Behavior Modification

A therapeutic approach that seeks to change potentially self-destructive or unhealthy behaviors through reinforcement methods.

Abnormal Behavior

Actions, thoughts, or feelings that are considered atypical or significantly deviate from societal or cultural norms.

Maladaptive Traits

Characteristics or traits in an individual that are counterproductive and interfere with their ability to cope effectively with challenges.

Behavior Modification

A technique based on operant conditioning principles used to change or modify problematic behaviors by manipulating environmental factors and consequences.