Asked by Daija Talley on May 20, 2024

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The width of a gold bar is intended to be 0.42 cms. Inspection samples contain six bars each. The average range of these samples is 0.007 cms. What are the upper and lower control limits for the x-bar and R-chart for this process, using 3-sigma limits?

Control Limits

Statistical boundaries within a control chart that represent the acceptable range of variation in a process.

Average Range

The mean difference between the highest and lowest values in a set of observations, used as a measure of statistical dispersion.

Inspection Samples

Specific items taken from a larger batch or lot for the purpose of testing or examining them to ensure they meet specified standards.

  • Gain insight into the elementary concepts of control charts, focusing on the computation of control limits.
  • Acquire insights into the relevance of standard deviation in terms of process governance and refinement.
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JB
Joshua BrightMay 20, 2024
Final Answer :
X-bar: LCL = .4166; UCL = .4234. R: LCL = 0.0; UCL = .014