A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units.
a) Find the three-sigma control limits for the control chart.
b) What is the probability that a shift in the process average to 0.08 will be detected on the first subsequent sample?
(Hint: use normal approximation)
c) What is the probability that this shift will be detected on the second sample taken after the shift?