Question

Here are the statistics for a process we are interested in: Mean = 25 StDev = 3.0 LSL = 14 USL = 37 Consider the Cp or Cpk and choose the appropriate answer whether the process is capable of meeting specifications. A. No, because Cpk = min((USL - mean) / (3 * sigma), (mean - LSL) / (3 * sigma)) is not above the minimum Cpk for capability. B. No, because Cp = (USL - LSL) / (6 * sigma) is not above the minimum Cp for capability. C. We don't have enough information to answer this. D. Yes, because Cp = (USL - LSL) / (6 * sigma) is above the minimum Cp for capability. E. Yes, because Cpk = max((USL - mean) / (3 * sigma), (mean - LSL) / (3 * sigma)) is above the minimum Cpk for capability.

          Here are the statistics for a process we are interested in:
Mean = 25
StDev = 3.0
LSL = 14
USL = 37

Consider the Cp or Cpk and choose the appropriate answer whether the process is capable of meeting specifications.

A. No, because Cpk = min((USL - mean) / (3 * sigma), (mean - LSL) / (3 * sigma)) is not above the minimum Cpk for capability.
B. No, because Cp = (USL - LSL) / (6 * sigma) is not above the minimum Cp for capability.
C. We don't have enough information to answer this.
D. Yes, because Cp = (USL - LSL) / (6 * sigma) is above the minimum Cp for capability.
E. Yes, because Cpk = max((USL - mean) / (3 * sigma), (mean - LSL) / (3 * sigma)) is above the minimum Cpk for capability.

Added by Michael N.

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