Statistical Quality Control question - A manufacturer of professional sound-rein

Question

Statistical Quality Control question -

A manufacturer of professional sound-reinforcement equipment specifies to its supplier(s) of speaker grilles that (before coating) the grill must be made of 16 gauge sheet steel, which has a target value of 0.0598 inches in thickness. The manufacturer has set the Upper Specification Limit at 0.06 inches and the Lower Specification Limit at 0.0596 inches. A supplier is able to manufacture steel grilles with a standard deviation of 0.0001 inch. Calculate the capability (Cp) for this supplier.

Explanation / Answer

Given,

Upper Specification(USL)=0.06

Lower Specification(LSL)=0.0596

Standard Deviation(SD)=0.0001

to calculate Process Capability(Cp)

Cp=USL-LSL/6*SD

Cp=0.06-0.0596/6*0.0001

solving, we get

Cp=0.67

Hence the Process Capability for the supplier is 0.67

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