For this question, please refer to the following control chart, which shows the results of the last 23 runs of a process. The process has been in operation for 500 runs, and each run takes 1 day.
The control chart you provided displays the results of the last 23 runs of a process. Let’s analyze the chart:
Control Chart Basics:
Control charts are used to monitor process performance over time.
They help identify common causes of variation (normal variation) and detect any special causes (unusual events or shifts).
Interpreting the Chart:
The horizontal lines on the chart represent:
UCL (Upper Control Limit): The upper boundary beyond which points are considered unusual.
CL (Center Line): The average or target value.
LCL (Lower Control Limit): The lower boundary beyond which points are considered unusual.
The jagged line represents the process data points.
Analysis:
The data points fluctuate around the center line (CL).
No points fall outside the control limits (UCL and LCL).
There are no clear patterns or cycles.
This behavior indicates normal variation—the inherent variability expected in any process.
Options:
A. A process shift: There is no evidence of a sudden shift or change in the process mean.
B. A process instability: The absence of points outside the control limits suggests stability.
C. Normal variation: This is the correct interpretation based on the chart.
D. A cyclical trend: There is no clear cyclical pattern.
Therefore, the control chart reflects normal variation, which is expected in a stable process1.
References: 5. The ASQ Certified Manager of Quality/Organizational Excellence Handbook, Fifth Edition. Sandra L. Furterer and Douglas C. Wood. Published 2021. Link
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