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Table 61
Factors for Calculating Three-Sigma Limits for The The \bar

question 63

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Table 6.1
Factors for Calculating Three-Sigma Limits for the Xˉ\bar { X } -chart and R-chart
 Size of  Sample (n)  Factor for UCL  and LCL for X -  Charts (A2)  Factor for  LCL for R -  Charts (D2)  Factor for  UCL for R -  Charts (D1) 21.88003.26731.02302.57540.72902.28250.57702.11560.48302.00470.4190.0761.92480.3730.1361.86490.3970.1841.816100.3080.2331.777\begin{array} { | c | c | c | c | } \hline \begin{array} { c } \text { Size of } \\\text { Sample } \\( n ) \end{array} & \begin{array} { c } \text { Factor for UCL } \\\text { and LCL for } X \text { - } \\\text { Charts } \\\left( A _ { 2 } \right) \end{array} & \begin{array} { c } \text { Factor for } \\\text { LCL for } R \text { - } \\\text { Charts } \\\left( D _ { 2 } \right) \end{array} & \begin{array} { c } \text { Factor for } \\\text { UCL for } R \text { - } \\\text { Charts } \\\left( D _ { 1 } \right) \end{array} \\\hline 2 & 1.880 & 0 & 3.267 \\3 & 1.023 & 0 & 2.575 \\4 & 0.729 & 0 & 2.282 \\5 & 0.577 & 0 & 2.115 \\6 & 0.483 & 0 & 2.004 \\7 & 0.419 & 0.076 & 1.924 \\8 & 0.373 & 0.136 & 1.864 \\9 & 0.397 & 0.184 & 1.816 \\10 & 0.308 & 0.233 & 1.777 \\\hline\end{array}
Source: 1950 Manual on Quality Control of Materials, copyright
American Society for Testing Materials. Reprinted with permission.
-A milling operation has historically produced an average thickness of 0.005 inch with an average range of 0.0015 inch.Currently,the first three items from each batch of 20 are inspected.Use Table 6.1.What is the value of LCL Xˉ\bar { X } if the sample size is increased to 6?

Describe the major perspectives in psychology and their focus areas.
Understand the process of operationalization in research.
Differentiate between learned and innate behaviors.
Appreciate the significance of critical thinking in psychology.

Definitions:

Validity Assessment

The process of evaluating the extent to which a test or measurement accurately reflects or assesses the specific concept it is intended to measure.

Independent Variable

In research, a variable that is manipulated or changed by the researcher to determine its effect on another variable, called the dependent variable.

Control Group

In experimental research, a group of subjects that does not receive the experimental treatment and is used as a benchmark to measure the effect of the treatment on the experimental group.

Human Participants

Individuals who take part in research studies or experiments, contributing data through their actions, behaviors, or biological samples.

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