Suppose that a process at Manuel Automation with a normally distributed output has a mean of 50.0

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Suppose that a process at Manuel Automation with a normally distributed output has a mean of 50.0 cm and a variance of 3.61 cm.
a. If the specifications are 51.0 ± 3.75 cm, compute Cp, Cpu, Cpl, and Cpk.
b. Suppose the mean shifts to 52.0, but the variance remains unchanged. Recompute and interpret these process capability indexes.
c. If the variance can be reduced to 40 percent of its original value, how do the process capability indices change (using the original mean of 50.0)?

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