Question

The following fraction nonconforming control chart with n = 100 is used to control a process: UCL = 0.0750 Centre line = 0.0400 LCL = 0.0050 a) Use the Poisson approximation to the binomial to find the probability of a type I error. b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600. c) Draw the OC curve for this control chart. d) Find the ARL when the process is in control and the ARL when the process fraction nonconforming is 0.0600.

          The following fraction nonconforming control chart with n = 100 is used to control a process:

UCL = 0.0750
Centre line = 0.0400
LCL = 0.0050

a) Use the Poisson approximation to the binomial to find the probability of a type I error.
b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600.
c) Draw the OC curve for this control chart.
d) Find the ARL when the process is in control and the ARL when the process fraction nonconforming is 0.0600.

$The following fraction nonconforming control chart with n = 100 is used to control a process: UCL = 0.0750 Centre line = 0.0400 LCL = 0.0050 a) Use the Poisson approximation to the binomial to find the probability of a type I error. b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600. c) Draw the OC curve for this control chart. d) Find the ARL when the process is in control and the ARL when the process fraction nonconforming is 0.0600.$

Added by Jose Ignacio L.

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