Asked by Allie Walker on Apr 25, 2024
Verified
A local manufacturer supplies you with parts, and you would like to install a quality monitoring system at his factory for these parts. Historically, the defect rate for these parts has been 1.25% (You've observed this from your acceptance sampling procedures, which you would like to discontinue). Develop ± 3σ control limits for this process. Assume the sample size will be 200 items.
Defect Rate
The percentage of produced items within a specific period that fail to meet quality standards or are faulty.
Control Limits
Statistical boundaries within a control chart that signal when a process is out of control and corrective action may be needed.
- Accomplish and clarify the analysis of control limits and process capabilities in diverse control chart types, encompassing X-bar, R-chart, p-chart, and c-chart.
- Invoke the three-sigma regulations to gauge process control.
- Develop strategies for process improvement based on control chart findings.
Verified Answer
JP
Janna Prieto5 days ago
Final Answer :
p-bar is 0.0125; the standard error of the proportion is (0.0124)(0.9874)/200\sqrt { ( 0.0124 ) ( 0.9874 ) / 200 }(0.0124)(0.9874)/200 = 0.00786.
The upper control limit is 0.0125 + 3 × 0.00786 = 0.03608; the lower control limit is
0.0125 - 3 × 0.00786 which is negative, so the LCL is 0.
The upper control limit is 0.0125 + 3 × 0.00786 = 0.03608; the lower control limit is
0.0125 - 3 × 0.00786 which is negative, so the LCL is 0.
Learning Objectives
- Accomplish and clarify the analysis of control limits and process capabilities in diverse control chart types, encompassing X-bar, R-chart, p-chart, and c-chart.
- Invoke the three-sigma regulations to gauge process control.
- Develop strategies for process improvement based on control chart findings.