Construct a 3-Sigma $\bar { X }$ - and R-Chart for the Length in Centimeters of a for the Length

question 230

Essay

Construct a 3-sigma $\bar { X }$
- and R-chart for the length in centimeters of a part using the samples found in the following table.
$\begin{array}{c}\quad\quad\quad\text { Observation }\\\begin{array}{crrrrr}\text { Sample \# } & 1 & 2 & 3 & 4 & 5 \\\hline 1 & 10.10 & 10.60 & 9.80 & 9.90 & 10.90 \\2 & 9.70 & 9.50 & 10.30 & 9.90 & 10.50 \\3 & 10.10 & 10.70 & 9.20 & 10.00 & 10.10 \\4 & 9.90 & 9.80 & 10.50 & 10.40 & 10.10 \\5 & 10.40 & 10.10 & 10.90 & 9.90 & 10.30 \\6 & 10.30 & 10.20 & 9.90 & 10.00 & 9.80 \\7 & 9.30 & 9.70 & 10.00 & 10.30 & 9.90 \\8 & 10.10 & 9.90 & 9.80 & 10.00 & 10.10 \\9 & 9.50 & 10.40 & 10.10 & 10.70 & 10.40 \\10 & 9.20 & 10.10 & 9.90 & 9.80 & 10.20\end{array}\end{array}$

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Definitions:

Inferiority Complex

The belief that one is of lower status or weaker than others.

Alfred Adler

An Austrian psychologist and founder of the school of individual psychology, who emphasized the importance of feelings of inferiority and community in shaping human behavior.

Karen Horney

A psychoanalyst known for her theory on neurotic personality development and her disagreements with Freud on concepts of female psychology.

Carl Jung

A Swiss psychiatrist and psychoanalyst known for creating analytical psychology, which focuses on the significance of one's own psyche and the pursuit of individual completeness.