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Meena Chavan Corp
Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 1,800 hours and σ ?= 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 ?hours, respectively. Based on the given? information, the process capability? ratio, Cp ?= ? ?(round your response to two decimal? places).
Based on the process capability ration (Cp) for the given information, one can say that the process is very much capable or not very much capable of producing the chips to the design specifications.
For the given information, the process capability index (Cpk) = ? (round to two decimal places)
Based on the process capability index (CPk) for the given info, one dansay that the process does or does not meet the specificaiton?
Expert Solution
Ans. Process capability (Cp) is a technique to find out the measurable property of a process to specification. Generally, final solution of process capability is specified either in the form of calculations or histograms.
Cp = [ (USL - LSL) / 6 x standard deviation) ]
USL: Upper specification limit
LSL: Lower specification limit
In above given case, USL = 2,400 hours
LSL = 1,600 hours
Standard deviation = 100 hours
Mean = 100 hours
Put all these in above formula, we get:
Cp = 2400 - 1600 / 6 x 100
= 1.33
Cp is greater than one, then it means that the engineering tolerance is greater than process spread so the process has the potential to be capable.
Process capability index ( Cpk) is the measure of process capability. It shows how closely a process is able to produce the output of its overall specifications.
Cpk = min [ (USL - mean) / (3 x standard deviation) , (mean - LSL) / (3 x standard deviation) ]
= min [ (2400 - 1800) / ( 3 x 100) , ( 100 - 1600) / (3 x 100) ]
= 0.667
Larger the Cpk is better. The larger Cpk is, the less likely it is that any item will be outside the specification limits. It generally wants a Cpk of at least 1.33 or higher to satisfy most customers. In given case, it is 0.667.
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