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

question 224

Essay

Construct a 3-sigma $\overline { X }$
- and R-chart for the length in centimeters of a part from the following table.
$\begin{array}{c}\quad\quad\quad\text { Observation }\\\begin{array}{crrrrr}\text { Sample \# } & 1 & 2 & 3 & 4 \\\hline 1 & 0.486 & 0.499 & 0.493 & 0.511 \\2 & 0.499 & 0.506 & 0.516 & 0.494 \\3 & 0.496 & 0.5 & 0.515 & 0.488 \\4 & 0.495 & 0.506 & 0.483 & 0.487 \\5 & 0.472 & 0.502 & 0.526 & 0.469 \\6 & 0.473 & 0.495 & 0.507 & 0.493 \\7 & 0.495 & 0.512 & 0.49 & 0.471 \\8 & 0.525 & 0.501 & 0.498 & 0.474 \\9 & 0.497 & 0.501 & 0.517 & 0.506 \\10 & 0.495 & 0.505 & 0.516 & 0.511\end{array}\end{array}$

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Definitions:

SimQuick

A software package used for simulating systems and processes, often utilized in operations research and management science.

Service Level

A measure of the quality of service provided, often defined as the percentage of customer demands that are met on time.

Waiting Time

The duration a person or object spends waiting before a service is received, often analyzed in operations management and customer service strategies.

Service Rate

The rate at which service is provided to customers, often measured in customers per unit of time.