If the control limits of an $\bar { x }$ chart are set at $\pm$2 standard errors from the centerline instead of the commonly used $\pm$3 standard errors,this will result in
A) an increased chance for a Type I error and a decreased chance for a Type II error.
B) an increased chance for a Type I error and an increased chance for a Type II error.
C) a decreased chance for a Type I error and an increased chance for a Type II error.
D) a decreased chance for a Type I error and a decreased chance for a Type II error.

Question

Quizplus · Accepted Answer

The control limits are wider, so there is a greater chance that a sample will fall outside the limits by chance (Type I error). However, the wider limits also make it more likely that a real shift in the process will be detected (Type II error).

If the Control Limits of An xˉ\bar { x }xˉ Chart Are Set At

If the Control Limits of An $\bar { x }$ Chart Are Set At