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:

Ingroups

social groups with which an individual identifies and feels a sense of belonging, often in contrast to outgroups, which are those perceived as different or outside.

Outgroups

Groups of people that one does not identify with or belong to, often perceived as different or opposed to one's own group (ingroup).

Discrimination

Unfair treatment of a person or group on the basis of prejudice.

Arabs

A linguistic and cultural ethnic group originating from the Arabian Peninsula and neighboring territories, speaking Arabic as their native language.