Identify three specific criteria for determining when a proces...

Question

Identify three specific criteria for determining when a process is out of statistical control.

Accepted Answer

Hello everyone. Let's take a look at this question together. When analyzing a control chart for a customer service response time process, which of the following observations would suggest the process is out of statistical control? Is it answer choice A? A single point falls outside the control limits? Answer choice B, all points remain within the control limits with small variations around the center line. Answer choice C. The points fluctuate randomly around the center line, showing no clear trend, or answer choice D, the process remains stable with no patterns suggesting unusual variation. So in order to solve this question, we have to recall what we have learned about analyzing a control chart to determine which of the following answer choices is an observation that would suggest. That the process is out of statistical control, and we know that a process is considered out of statistical control if it exhibits any of the following behaviors, such as one or more points fall outside of the control limits, either above the upper control limit or below the lower control limit, as well as a run of consecutive points on one side of the center line. For example, 8 or more consecutive points above or below the center line, and lastly, if it exhibits a non-random pattern of variation, such as a trend of increasing or decreasing values over several points. So since we know that a process is considered out of statistic. control if it exhibits any of the following behaviors, we can identify that answer choice A, which says a single point falls outside of the control limits, it's an observation that would suggest the process is out of statistical control, which makes answer choice A the correct answer. And all other answer choices are incorrect, as we note that answer choices B, C, and D all contain observations that instead align with statistical control, so only answer choice A is correct. I hope you found this video to be helpful. Thank you and goodbye.

Identify three specific criteria for determining when a process is out of statistical control.

Key Concepts

Control Charts

Common and Special Causes of Variation

Run Rules

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