The process $ \bar{x} $ and R-charts are developed using a sample size of 5, but the technician mistakenly looks up A2, D3, and D4 values for a sample size of 7. If these charts are put into daily use, the manufacturer will mistakenly ship more bad product than had the charts been constructed correctly.

Question

Quizplus · Accepted Answer

Using incorrect A2, D3, and D4 values for a different sample size would affect the sensitivity of the control charts, potentially leading to either more false alarms (identifying a process as out of control when it is not) or missing actual out-of-control conditions. However, it does not directly correlate to shipping more bad product, as the primary issue would be the misinterpretation of process control rather than a direct increase in the production of defective items.

The Process xˉ \bar{x} xˉ And R-Charts Are Developed Using a Sample Size of 5

The Process $\bar{x}$ And R-Charts Are Developed Using a Sample Size of 5