Question 6 An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also...

Q.2

Extracted text: Question 6 An x control chart with the 3-sigma control limits and sample size of n = 5 is used for monitoring a process mean shift. In order to enhance detection sensitivity, a 2-sigma limit is also used as the warning limit. The decision of when a chart should signal is based on m = 3 successive samples using the following rule: Rule: If exactly two out of the three sample means fall outside the 2-sigma warning limits, the chart signals. What is the Type I error using this rule? [blank] [Hint: First find the type I error for 2-sigma warning limits and then express the type I error of using rule 1 in terms of 2-sigma warning limits.](Provide your answer with 4 significant decimal digits)