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Crank
3 years ago
12

EK Chemical Company sells a specialty chemical in packages marked 83 g. In reality, EK has set the process mean at 84.0 g, and t

he process currently has a standard deviation of 1.85 g. Suppose the customer will accept anywhere from 78 to 88 g, as long as the average package has at least 83 g a. The process capability index for the current manufacturing process is___________(Enter your response rounded to three decimal places.)
Business
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

0.7207

Explanation:

Mean  μ = 84g

SD σ = 1.85g

Upper specification limit (USL) = 88g

Lower specification limit (LSL) = 78g

Cpk = Min[USL - μ/3σ,  μ-LSL/3σ]

Cpk = Min[88 - 84/3*1.85, 84-78/3*1.85]

Cpk = Min[4/5.55, 6/5.55]

Cpk = Min[0.7207, 1.0811]

Cpk = 0.7207

So, the process capability index for the current manufacturing process is 0.7207

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To answer this question, we were told that the customer wants to build a moderate 3,800 square foot home. However, although it says with no utilities, utility cost will be applicable because it represents what is needed by the builders and engineers to get their work done on the vacant lot of land.

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