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Como Calcular Cpk

Cpk Formula:

\[ Cpk = \min\left( \frac{USL - \mu}{3\sigma}, \frac{\mu - LSL}{3\sigma} \right) \]

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1. What Is The Cpk Index?

The Cpk (Process Capability Index) measures how well a process can meet specification limits. It considers both the process centering and variability relative to the specification limits, providing a quantitative measure of process capability.

2. How Does The Calculator Work?

The calculator uses the Cpk formula:

\[ Cpk = \min\left( \frac{USL - \mu}{3\sigma}, \frac{\mu - LSL}{3\sigma} \right) \]

Where:

Explanation: The formula calculates how many standard deviations the process mean is from each specification limit and takes the minimum value to represent the worst-case scenario.

3. Importance Of Cpk Calculation

Details: Cpk is crucial for quality control and process improvement. It helps manufacturers determine if their process is capable of producing within specification limits and identifies opportunities for process optimization.

4. Using The Calculator

Tips: Enter the upper and lower specification limits, the process mean, and the standard deviation. All values must be valid (standard deviation > 0). The calculator will compute the Cpk index.

5. Frequently Asked Questions (FAQ)

Q1: What is a good Cpk value?
A: Generally, a Cpk value of 1.33 or higher is considered acceptable, with values of 1.67 or higher indicating excellent process capability.

Q2: How is Cpk different from Cp?
A: Cp measures process potential without considering centering, while Cpk considers both variability and centering relative to specification limits.

Q3: Can Cpk be negative?
A: Yes, a negative Cpk indicates the process mean is outside the specification limits.

Q4: What if my process has only one specification limit?
A: For processes with only one specification limit (upper or lower), use the appropriate one-sided calculation instead of Cpk.

Q5: How often should Cpk be calculated?
A: Cpk should be monitored regularly as part of ongoing quality control, with frequency depending on process stability and criticality.

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