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A shift in the process mean for a measured characteristic would most likely be detected by a:

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Final answer:

A shift in the process mean for a measured characteristic would most likely be detected by a control chart.

Step-by-step explanation:

A control chart is a statistical tool used in quality management to monitor and visualize variations in a process. It helps identify trends, patterns, or anomalies, enabling effective quality control. A shift in the process mean for a measured characteristic would most likely be detected by a statistical method called a control chart.

Control charts are used to monitor processes and detect any shifts or changes in the process mean or variability. One commonly used control chart is the X-bar chart, which tracks the average value of the characteristic being measured over time. Any significant shift in the process mean would result in data points falling outside the control limits on the chart, indicating that there is a problem with the process.

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