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The relative humidity in a greenhouse is expected to be between 64.5 and 84.7 %. Random...

The relative humidity in a greenhouse is expected to be between 64.5 and 84.7 %. Random samples were taken over a span of one week yield the following values: 60.5,78.2,70.5,84.7,81.3, 80.0, 85.2, 60.5, 88.7, 75.6 (in %).

a/ Find and interpret the process capability index.

b/ Explain what do CPU and CPL stand for? How do CPU and CPL affect the process mean?

c/ Assuming that the process standard deviation cannot be reduced. if we increase the CPL to 1, what should be the target value of the process mean? How's about decreasing to 0?

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