Construct a Run Chart for Individual Values Corresponding to the Given

question 116

Essay

Construct a run chart for individual values corresponding to the given data. A machine that is_
supposed to produce ball bearings with a diameter of 7 millimeters yields the following data
from a test of 5 ball bearings every 20 minutes. $\begin{array}{c|ccccc|c|c}\text { Sample } &&&{\text { Ball Bearing Diameter (mm) }} &&& \overline{\boldsymbol{x}} & \text { Range } \\\hline1 & 6.3 & 6.8 & 6.9 & 6.8 & 6.9 & 6.74 & 0.6 \\2 & 6.3 & 6.6 & 6.6 & 6.3 & 7.0 & 6.56 & 0.7 \\3 & 6.8 & 6.7 & 7.0 & 6.5 & 7.0 & 6.80 & 0.5 \\4 & 7.0 & 6.7 & 6.7 & 6.8 & 6.8 & 6.80 & 0.3 \\5 & 6.8 & 6.8 & 6.6 & 6.5 & 6.4 & 6.62 & 0.4 \\6 & 6.8 & 6.7 & 6.6 & 6.3 & 6.9 & 6.66 & 0.6 \\7 & 7.3 & 7.3 & 7.4 & 7.4 & 7.0 & 7.28 & 0.4 \\8 & 7.2 & 7.0 & 7.2 & 6.9 & 7.1 & 7.08 & 0.3 \\9 & 7.3 & 7.6 & 7.1 & 7.4 & 7.6 & 7.40 & 0.5 \\10 & 7.2 & 7.6 & 7.5 & 7.6 & 7.1 & 7.40 & 0.5 \\11 & 7.2 & 7.2 & 7.4 & 7.0 & 7.0 & 7.16 & 0.4 \\12 & 7.5 & 7.4 & 7.4 & 7.6 & 7.1 & 7.40 & 0.5\end{array}$

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Definitions:

Risky Behavior

Actions or activities that carry a significant chance of negative or harmful consequences.

Low-Machiavellian

Refers to individuals who are less inclined to manipulate others for their own gain, often displaying more honesty and integrity.

Personal Goals

Individual objectives or aspirations that one seeks to achieve, which can span personal development, academic achievements, or personal satisfaction ends.

Thoughtfully

Acting with consideration or careful reflection, often showing concern for the needs or feelings of others.