Asked by Lyric Bolden on May 12, 2024

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The width of a bronze bar is intended to be one-eighth of an inch (0.125 inches). Inspection samples contain five bars each. The average range of these samples is 0.01 inches. What are the upper and lower control limits for the x-bar and R-chart for this process, using 3-sigma limits?

Control Limits

are statistical boundaries set in process control charts that signal when a process may be out of control and corrective action may be needed.

X-bar

A symbol representing the sample mean or average in statistical analyses.

R-chart

A control chart used for monitoring the range of variability within a process.

  • Conduct calculations and interpretations related to control limits and process capabilities within a vast array of control chart kinds, including X-bar, R-chart, p-chart, and c-chart.
  • Utilize three-sigma criteria for ascertaining control within processes.
  • Determine the average and variability measure for samples as well as for the comprehensive process.
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PB
PATRICK BUNDUMay 13, 2024
Final Answer :
X-bar: LCL = .119; UCL = .131. R: LCL = 0.0; UCL = .021