This claim is untrue. If a process displays random variability, it would not be considered out of control.
A particular cause variation is present when the control chart for a process measure shows a pattern of fluctuation that is not random or points that are drawn outside the control borders. A process measure is deemed unstable or out-of-control when a control chart shows unique cause variance.
Random variation: Unpredictable variations in a process's output caused by a variety of insignificant elements, including variations in temperature and humidity. Process variability resulting from a variety of erratic (and insignificant in isolation) fluctuations or change factors that, in reality, cannot be anticipated, detected, identified, or even eliminated.
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