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A Quality Analyst Wants to Construct a Control Chart for Determining

question 6

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A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:  Machine  Measurements #117151517#216251825#323242322\begin{array} { c c c c c } \text { Machine } && { \text { Measurements } } \\\hline \# 1 & 17 & 15 & 15 & 17 \\\# 2 & 16 & 25 & 18 & 25 \\\# 3 & 23 & 24 & 23 & 22\end{array}
What are the x-bar chart three-sigma upper and lower control limits?


Definitions:

Group Size

The number of individuals forming a social or working group, affecting its dynamics, interactions, and outcomes.

Conformity

The act of aligning one's beliefs, attitudes, and behaviors with those of a group or society's norms and expectations.

Solomon Asch

A psychologist best known for his research on conformity, demonstrating how social pressure can influence individuals to conform to incorrect answers.

Stanley Milgram

A psychologist known for his work on obedience to authority, demonstrating that people are willing to obey authority figures even when it involves harming others.

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