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In: Statistics and Probability

An X-bar chart with three-sigma limits has parameters as follows: • UCL = 104 • Center...

An X-bar chart with three-sigma limits has parameters as follows:

• UCL = 104

• Center line = 100

• LCL = 96

• n = 9

Suppose that mean of the process quality characteristic shifts to 102, assume standard deviation does not change.

(a) What is average run length until the first point is plotted out of control?

(b) What is the probability that the control chart would exhibit lack of control by at least the third point plotted?

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