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Como Calcular O Cpk De Um Processo

Cpk Formula:

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

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1. What Is The Process Capability Index (Cpk)?

The Process Capability Index (Cpk) is a statistical measure of a process's ability to produce output within specification limits. It indicates how well a process is centered and whether it can consistently meet customer requirements.

2. How Does The Calculator Work?

The calculator uses the Cpk formula:

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

Where:

Explanation: The formula calculates how many standard deviations the process mean is from the nearest specification limit, providing a measure of process capability.

3. Importance Of Cpk Calculation

Details: Cpk is crucial for quality control and process improvement. It helps manufacturers determine if their processes are capable of meeting specifications and identifies areas for improvement.

4. Using The Calculator

Tips: Enter the lower and upper specification limits, process mean, and standard deviation. All values must use consistent units, and standard deviation must be greater than zero.

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 spread and centering of the process relative to specifications.

Q3: What if my Cpk is less than 1?
A: A Cpk less than 1 indicates that the process is not capable of consistently meeting specifications and requires improvement.

Q4: Can Cpk be negative?
A: Yes, Cpk can be negative if the process mean is outside the specification limits, indicating very poor process capability.

Q5: What are the limitations of Cpk?
A: Cpk assumes normally distributed data and may not be accurate for non-normal distributions. It also requires stable process data for meaningful interpretation.

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