Two machines are currently in use in a manufacturing process. The standards for

Question

Two machines are currently in use in a manufacturing process. The standards for this process are LSL = 0.400" and USL = 0.403". Machine One is currently producing with mean 0.401 and standard deviation 0.0004. Machine Two is currently producing with mean 0.4015 and standard deviation 0.0005. Which machine has the higher capability index? Machine One has an index of square (round your response to two decimal places). Machine Two has an index of square (round your response to two decimal places). Machine has the higher capability index.

Explanation / Answer

Machine one

Cpk = min (((USL – mean)/(3 * Standard Dev)), ((Mean - LSL)/(3 * Standard Dev)))

Cpk = min (((0.403 – 0.401) / (3 *0.0004)) , ((0.401 – 0.400) / (3*0.0004))

Cpk = min (1.67 , 0.83)

Cpk = 0.83

Machine two,

Cpk = min (((USL – mean)/(3 * Standard Dev)), ((Mean - LSL)/(3 * Standard Dev)))

Cpk = min (((0.403 – 0.4015) / (3 *0.0005)) , ((0.4015 – 0.400) / (3*0.0005))

Cpk = min (1 , 1)

Cpk = 1

Machine two has higher capability Index

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