How was the x-chart interpreted by the second shift operators of the syringe assembly process, after the machine had been adjusted thrice by the technician? How did the statistical consultants interpret it?
After the maintenance technician made three attempts to adjust the machine, the second shift operators continued sampling and collected 15 additional samples of size 5, at 15-minute intervals. They plotted these results on the x-chart, but because no values were beyond the control limits, they concluded that the process was under statistical control and took no action. It was at this point that the statistical consultants reviewed what had transpired. They determined that the 15 points showed a process not under statistical control. The string of 15 points of the x-chart were all above the center line and hence they concluded that the process mean had shifted.
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