Please solve this problem step by step Two processes (A and B) are used to creat
ID: 455488 • Letter: P
Question
Please solve this problem step by step Two processes (A and B) are used to create the same product. A statistical process control has found that Process A has wider control limits on the x- chart that Process B. The control chart for Process A was created using a larger sample size than the control chart for Process B (i.e., n_A > n_B). Assuming both share the same x-. What, if anything, can you conclude about these two processes? Is one process better than the other? If so, why Use the 3 Sigma Control Limits Table as part of your explanation.Explanation / Answer
The purpose of 3 Sigma Control charts is to detect significant process changes when they occur. In general, charts that display averages of data/measurements (X-bar charts) are more useful than charts of individual data points or measurements. Charts of individuals are not nearly as sensitive as charts of averages at detecting process changes quickly. X-bar charts are far superior at detecting process shifts in a timely manner, and the subgroup size is a crucial element in ensuring that appropriate chart signals are produced.
Process A is better than Process B as If the sampling size is not large enough, then meaningful process shifts may go undetected. On the other hand, if the sampling size is big then that significant shifts (from a practical perspective) are detected with high probability and that insignificant shifts are unlikely to produce a signal.