The diameter of a cylinder follows a normal distribution with mean of 10cm and the variance of 0.04 cm2. a) Construct a Shewhart chart (X-Bar chart) to monitor the process mean of cylinder diameter with a sample size of 9? (Use L = 3) b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift next sample (The first sample after the mean shift)?

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The diameter of a cylinder follows a normal distribution with mean of 10cm and the variance
of 0.04 cm2.
a) Construct a Shewhart chart (X-Bar chart) to monitor the process mean of cylinder diameter
with a sample size of 9? (Use L = 3)
b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this
mean shift next sample (The first sample after the mean shift)?
c) If the process mean stay at 10.5 cm, what is the average number of samples will you see an
out-of-control point in the control chart?

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