We appreciate your visit to Question 4 A gain measurement has an average value of 99 1 The limits for the specification are 90 110 The standard deviation of the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
For the process, the Process Capability Index (Cp) is 1.75 and the Process Capability Index (Cpk) is 1.6. These values indicate that the process mean is not centered within the specification limits and the dispersion is great thereby not meeting the 6σ quality standard.
The capability metrics of a process can provide a measure of how well it adheres to its specifications. The Process Capability Index(Cp) can be deduced from the ratio of the specification range to the process range, which in this case is given by (Upper Limit - Lower Limit)/{6*(standard deviation)} = (110-90) / {6*1.9} = 1.75.
The Process Capability Index (Cpk) indicates how centered the process mean is within the specification limits. It is computed as the minimum of [(Mean - Lower Specification Limit)/(3*σ)] or [(Upper Specification Limit - Mean) /(3*σ)]. So, in this case it would be: min [(99.1 - 90) / (1.9*3), (110 - 99.1) / (1.9*3)] = 1.6.
A product is considered to meet the 6σ (six sigma) quality standard if its Cp and Cpk values are both greater or equal to 2.0, implying that the process is capable of producing virtually no defects. Hence, this product does not meet the six sigma quality standards because both Cp (1.75) and Cpk (1.6) are less than 2.
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