5. A control chart for number nonconforming chart (np chart) is to be established based on a sample size of n=300. To initiate the control chart, 40 samples, each of 300 items, were selected and the number nonconforming tabulated for all 40 samples, yielding the following: E1 np = d = 120 a). Compute: np, p b). Establish the parameters of the np chart (namely CL,UCL, LCL) 40 c). Suppose the fraction nonconforming p shifts to 0.02. What is the probability that the shift would be detected in the first sample taken after the shift has occurred? (Use the Poisson Approximation)

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5. A control chart for number nonconforming chart (np chart) is to be established based on a sample
size of n=300. To initiate the control chart, 40 samples, each of 300 items, were selected and the
number nonconforming tabulated for all 40 samples, yielding the following: E, np = d = 120
a). Compute: np, P
b). Establish the parameters of the np chart (namely CL, UCL, LCL)
c). Suppose the fraction nonconforming p shifts to 0.02. What is the probability that the shift would
be detected in the first sample taken after the shift has occurred? (Use the Poisson Approximation)
Transcribed Image Text:5. A control chart for number nonconforming chart (np chart) is to be established based on a sample size of n=300. To initiate the control chart, 40 samples, each of 300 items, were selected and the number nonconforming tabulated for all 40 samples, yielding the following: E, np = d = 120 a). Compute: np, P b). Establish the parameters of the np chart (namely CL, UCL, LCL) c). Suppose the fraction nonconforming p shifts to 0.02. What is the probability that the shift would be detected in the first sample taken after the shift has occurred? (Use the Poisson Approximation)
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