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Table 71 -Historically, the Average Diameter of the Holes Drilled Has Been

question 193

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Table 7.1
 Factors for Calculating Three- Sigma Limits for the Xˉ - 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 (D) ) 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}{l}\text { Factors for Calculating Three- Sigma Limits for the } \bar { X } \text { - chart and } R \text { - chart }\\\begin{array} { | c | l | l | l | } \hline \begin{array} { l } \text { Size of } \\\text { Sample } \\( n ) \end{array} & \begin{array} { l } \text { Factor for UCL } \\\text { and LCL for } \\\text { X-Charts } \\\left( A _ { 2 } \right) \end{array} & \begin{array} { l } \text { Factor for } \\\text { LCL for } \\\text { R-Charts } \\\left( D _ { 2 } \right) \end{array} & \begin{array} { l } \text { Factor for } \\\text { UCL for } \\R \text { - Charts } \\( D ) ) \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}\end{array}
-Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.1 cm. Determine the central line and upper and lower control limits for an X- and an  Table 7.1  \begin{array}{l} \text { Factors for Calculating Three- Sigma Limits for the } \bar { X } \text { - chart and } R \text { - chart }\\ \begin{array} { | c | l | l | l | }  \hline \begin{array} { l }  \text { Size of } \\ \text { Sample } \\ ( n )  \end{array} & \begin{array} { l }  \text { Factor for UCL } \\ \text { and LCL for } \\ \text { X-Charts } \\ \left( A _ { 2 } \right)  \end{array} & \begin{array} { l }  \text { Factor for } \\ \text { LCL for } \\ \text { R-Charts } \\ \left( D _ { 2 } \right)  \end{array} & \begin{array} { l }  \text { Factor for } \\ \text { UCL for } \\ R \text { - Charts } \\ ( D )  )  \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} \end{array}  -Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.1 cm. Determine the central line and upper and lower control limits for an X- and an   R- chart, assuming samples of size 8 will be taken. Use Table 7.1.For the - chart, what is the value of  U C L \bar { _X } ?  A)  less than or equal to 0.100 B)  greater than 0.100 but less than or equal to 0.200 C)  greater than 0.200 but less than or equal to 0.300 D)  greater than 0.300 R- chart, assuming samples of size 8 will be taken. Use Table 7.1.For the - chart, what is the value of UCLXˉ?U C L \bar { _X } ?


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External Locus of Control

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Situational

Related to or dependent on a particular set of circumstances or context.

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Relating to the inherent qualities, traits, or tendencies that contribute to a person's enduring behavior patterns or characteristics.

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A psychological perspective that emphasizes unconscious processes and past experiences as determinants of an individual's behavior and personality.

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