An control chart with 3-sigma control limits and subgroup

Chapter 15, Problem 17E

(choose chapter or problem)

An \(\bar{X}\) control chart with 3-sigma control limits and sub-group size \(\mathrm{n}=4\) has control limits

\(\mathrm{UCL}=48.75 \text { and } \mathrm{LCL}=40.55\).

(a) Estimate the process standard deviation.

(b) Does the response to part (a) depend on whether \(\bar{r} \text { or } \bar{s}\)  was used to construct the \(\bar{X}\) control chart?

 

Equation Transcription:

   

       

     

   

 

Text Transcription:

\bar X    

n=4      

UCL=48.75 and LCL =40.55      

\bar r or \bar s  

\bar X

   

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