At Time R, a Process Is Judged Out of Control $\left( 1 , S _ { 1 } \right) , \left( 2 , S _ { 2 } \right) , \ldots \ldots , \left(y , S _ { \mathrm { r } } \right)$

question 21

Short Answer

At time r, a process is judged out of control if any of the cumulative sum plotted values $\left( 1 , S _ { 1 } \right) , \left( 2 , S _ { 2 } \right) , \ldots \ldots , \left(y , S _ { \mathrm { r } } \right)$ lies outside the __________; either above the upper arm or below the lower arm.

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Definitions:

Dispersion

The extent to which a set of values is spread out or dispersed around a central value, such as the mean.

Statistical Control

The use of statistical methods to monitor and control a process to ensure that it operates at its full potential, producing consistent, conforming products with minimal waste.

Design Specifications

Detailed descriptions of the materials, dimensions, and quality standards necessary to build a product.

X-bar Charts

A statistical tool used in quality control to track the average of a process over time, helping to identify trends or changes in the process.