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Two machines are currently in use in a process at the Dennis Kira Mfg.Co. The standards for this process are LSL = 300 and U

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Answer #1

Cpk = MIN(UPPER LIMIT - MEAN / 3 * STANDARD DEVIATION, MEAN - LOWER LIMIT / 3 * STANDARD DEVIATION)

UPPER SPECIFICATION = 0.303

LOWER SPECIFICATION = 0.300

MEAN = 0.301

STANDARD DEVIATION = 0.0005

Cpk = MIN(0.303 - 0.301 / 3 * 0.0005, 0.301 - 0.3 / 3 * 0.0005)

Cpk = MIN(1.333, 0.667)

Cpk = 0.667

The process is not capable since the Cpk < 1

MACHINE 2

UPPER SPECIFICATION = 0.303
LOWER SPECIFICATION = 0.3
MEAN = 0.3005
STANDARD DEVIATION = 0.0004


Cpk = MIN(0.303 - 0.3005 / 3 * 0.0004, 0.3005 - 0.3 / 3 * 0.0004)
Cpk = MIN(2.083, 0.417)
Cpk = 0.417

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