A fraction nonconforming control chart with n = 400 has the following parameters: UCL = 0.0962; Center

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A fraction nonconforming control chart with n = 400 has the following parameters:
UCL = 0.0962; Center line = 0.0500; LCL = 0.0038.
(a) Find the width of the control limits in standard deviation units.
(b) Suppose the process fraction nonconforming shifts to 0.15. What is the probability of detecting the shift on the first subsequent sample?
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