We're glad you stopped by Suppose that a specification calls for LTL 1 8 and UTL 6 4 A sample of 100 parts found tex mu 4 2 tex and. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To calculate Cp, Cpl, Cpu, and Cpk, we need to use the given data. By plugging the given values into the formulas, we can calculate Cp, Cpl, Cpu, and Cpk.
Cp measures the process capability by comparing the specification limits with the natural variation of the process. It gives an indication of how well the process meets the specifications. Cpl and Cpu, on the other hand, measure the process capability on the lower and upper specification limits, respectively. Finally, Cpk is a measure that takes into account both the lower and upper specification limits, giving a more comprehensive view of the process capability.
Calculate Cp:
Cp measures the process capability and is determined using the formula:
Cp = (UTL - LTL) / (6 * σ)
In this case, UTL = 6.4, LTL = 1.8, and σ = 0.6. Plugging these values into the formula, we get:
Cp = (6.4 - 1.8) / (6 * 0.6) = 4.6 / 3.6 = 1.278
So, the Cp is 1.278.
Calculate Cpl:
Cpl measures the process capability on the lower specification limit and is determined using the formula:
Cpl = (μ - LTL) / (3 * σ)
In this case, μ = 4.2, LTL = 1.8, and σ = 0.6. Plugging these values into the formula, we get:
Cpl = (4.2 - 1.8) / (3 * 0.6) = 2.4 / 1.8 = 1.333
So, the Cpl is 1.333.
Calculate Cpu:
Cpu measures the process capability on the upper specification limit and is determined using the formula:
Cpu = (UTL - μ) / (3 * σ)
In this case, UTL = 6.4, μ = 4.2, and σ = 0.6. Plugging these values into the formula, we get:
Cpu = (6.4 - 4.2) / (3 * 0.6) = 2.2 / 1.8 = 1.222
So, the Cpu is 1.222.
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