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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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