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Select the best answer.For this process, which one of the following is true? Cp is smaller than Cpk Cp is greater than Cpk Cp is equal to Cpk

Question

Select the best answer.

For this process, which one of the following is true?

  • Cp is smaller than Cpk
  • Cp is greater than Cpk
  • Cp is equal to Cpk
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Solution

Best Answer Analysis

  1. Understanding Cp and Cpk:

    • Cp (Process Capability Index) measures the potential capability of a process, comparing the width of the process to the width of the specification limits.
    • Cpk (Process Capability Index, corrected for the mean) measures how centered the process outputs are within the specification limits. It takes into account the average of the process.
  2. Relationship Between Cp and Cpk:

    • Generally, Cpk can never be greater than Cp because Cpk considers how well the process is centered and takes into account shifts from the mean. If the process is perfectly centered, Cp will equal Cpk.
  3. Conclusion:

    • In most scenarios, Cp is either greater than or equal to Cpk. It is only equal when the process mean is perfectly centered between the specification limits.

Final Answer

Cp is greater than Cpk.

This problem has been solved

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