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Which of the following situations suggests a process that appears to be operating out of statistical control?

A) A control chart in which points fall outside the lower control limit
B) A control chart in which several points fall outside the upper control limit
C) A control chart with a series of consecutive points that are above the center line and a series of consecutive points that are below the center line
D) all of the above

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Final answer:

The process that appears to be operating out of statistical control is described by D) all of the above, as each listed situation on a control chart points to special cause variation or a systematic factor affecting the process.

Step-by-step explanation:

The situation which suggests a process that appears to be operating out of statistical control is D) all of the above. Here are the reasonsA control chart in which points fall outside the lower control limit or the upper control limit indicates that the process is producing output that is not consistent with statistical control. Points outside these limits are evidence of special cause variationA series of consecutive points above or below the center line, rather than being randomly distributed, suggests that a persistent systematic factor is influencing the process, also indicating a loss of controlIn terms of control chart interpretation, seeing any of these patterns would signal that the process needs to be examined for potential issues.

A control chart in which points fall outside the lower control limit suggests a process that appears to be operating out of statistical control. This is because the lower control limit is a threshold that indicates when a process is performing outside of its normal variation. If points fall below this limit, it suggests that the process is consistently producing results that are lower than the expected rangeIn option A, points falling outside the lower control limit indicate that the process is consistently producing results that are too low. This suggests that the process is not operating within its statistical control limits and may require further investigation and adjustment.Therefore, the correct answer is A) A control chart in which points fall outside the lower control limit.

User Martin Ellis
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