A fraction nonconforming control chart with n = 400 has the following parameters: UCL = 0.0809, Center

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A fraction nonconforming control chart with n = 400 has the following parameters: UCL = 0.0809, Center line = 0.0500, LCL = 0.0191.
(a) Find the width of the control limits in standard deviation units.
(b) What would be the corresponding parameters for an equivalent control chart based on the number nonconforming?
(c) What is the probability that a shift in the process fraction nonconforming to 0.0300 will be detected on the first sample following the shift?
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