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Six Sigma Process Capability Index for Discrete Assembly Steps Calculator

Six Sigma Process Capability Index for Discrete Assembly Steps engineering calculator.

Quick Answer

Calculate Six Sigma Process Capability Index for Discrete Assembly Steps

Calculator

Process Capability Index Cpk (dimensionless)
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Result Interpretation

Six Sigma Process Capability Index for Discrete Assembly Steps Calculator computes Process Capability Index Cpk in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Sample Size per Step = 2000
  • Lower Specification Limit for Defect Proportion = 0
  • Upper Specification Limit for Defect Proportion = 0.0027
  • Observed Defect Proportion = 0.0005

Expected Result:

  • Process Capability Index Cpk = 0.33341669792969

Engineering Interpretation:

Under the given input conditions, the calculated result is: Process Capability Index Cpk = 0.33341669792969 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

process capability index cpk = min((upper specification limit for defect proportion - observed defect proportion) / (3 * sqrt(observed defect proportion * (1 - observed defect proportion) / sample size per step)), (observed defect proportion - lower specification limit for defect proportion) / (3 * sqrt(observed defect proportion * (1 - observed defect proportion) / sample size per step)))

Formula family: formula_ind_six_sigma_process_capability_diagnostic_for_discrete_assembly_steps

Variables

SymbolLabelRoleDescription
p_bar Observed Defect Proportion INPUT Observed Defect Proportion
n Sample Size per Step INPUT Sample Size per Step
USL Upper Specification Limit for Defect Proportion INPUT Upper Specification Limit for Defect Proportion
LSL Lower Specification Limit for Defect Proportion INPUT Lower Specification Limit for Defect Proportion
process_capability_index Process Capability Index Cpk OUTPUT Process Capability Index Cpk

Calculation Steps

  1. Enter the observed defect proportion in dimensionless.
  2. Enter the sample size per step in dimensionless.
  3. Enter the upper specification limit for defect proportion in dimensionless.
  4. Enter the lower specification limit for defect proportion in dimensionless.
  5. Step 1: Compute process capability index cpk.
  6. Read the process capability index cpk (dimensionless) from the results.

Engineering Summary

Calculate Six Sigma Process Capability Index for Discrete Assembly Steps

Frequently Asked Questions

What does this calculator calculate?

The Six Sigma Process Capability Index for Discrete Assembly Steps Calculator estimates Process Capability Index Cpk based on the input parameters you provide

Why is observed defect proportion important in this calculation?

observed defect proportion is directly proportional to process capability index cpk. When you enter observed defect proportion in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result process capability index cpk?

The calculator outputs process capability index cpk in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Observed Defect Proportion (dimensionless), Sample Size per Step (dimensionless), Upper Specification Limit for Defect Proportion (dimensionless), Lower Specification Limit for Defect Proportion (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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