Based on the information in the tables and the x-bar (Mean) chart, we can conclu

Question

Based on the information in the tables and the x-bar (Mean) chart, we can conclude that:

There appears to be assignable variation occurring here with respect to the Mean.

There appears to be no assignable variation occurring here with respect to the Mean.

We should not be concerned about the quality of our process at this point.

None of the above.

Included below is SPC analysis results for a given operation Sample Mean Ran 20.0 19.98 0.67 20.25 0.30 9.90 0.30 20.35 0.36 9.23 0.49 20.01 0.53 19.98 0.40 20.56 0.95 X-ba 20.024 Ran bar value R-bar value 0524 1.196 20.024 0524 0 Upper control limit20 enter line ower control limit19.642 21 1.2 20.5 d 0.8 E 0.6 0.4 0.2 E 19.5 19 18.5 1 23 45 6 7 8 9 10 1 23 4 5 6 78 9 10 Sample Sample x-bar (Mean) chart r (Range) chart

Explanation / Answer

According to statistical process control, if the observation is within the control limits, variation is said to be due to random cause within the process. But if the observations are beyond limits, it means there are certain assignable cause, which results in huge deviation in process variation.

As observed from X-bar chart, the observations of sample 6 and 9 are beyond the control limits. It means there are some assignable causes which are not inherent to process variation. Thus, the process is not within statistical control. Immediate action should be taken to resolve the problem and control the variation within control limits.

ANS: Thus, there appears to be assignable variation occurring here with respect to mean.

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