Someone constructs an chart where the control limits arc

Chapter 10, Problem 2SE

(choose chapter or problem)

Someone constructs an \(\overline{X}\) chart where the control limits are at \(\pm 2.0 \sigma_{\overline X}\) rather than at \(\pm 3 \sigma_{\overline X}\).

a. If the process is in control, what is the ARL for this chart?

b. If the process mean shifts by \(\pm 0.5 \sigma_{\overline X}\), what is the ARL for this chart?

c. In units of \(\sigma_{\overline X}\), how large an upward shift can be detected with an ARL of 10?

Equation Transcription:

Text Transcription:

overline{X}

{+/-}2.0{sigma}_overline{X}

{+/-}3{sigma}_overline{X}

{+/-}.5{sigma}_overline{X}

{sigma}_overline{X}