Confidence Intervals for Process Capability Indices PPT

This PPT slide, part of the 103-slide Six Sigma - Process Capability Study PowerPoint presentation, presents a detailed overview of confidence intervals for process capability indices, specifically Cp and Cpk. It begins with a summary of the number of observations, which is 46, indicating the sample size used for the analysis. The values for Cp and Cpk are shown as 1.56 and 0.42, respectively, with a PPM (parts per million) figure of 103,835, suggesting a significant level of defects in the process being analyzed.

The slide outlines confidence intervals at 3 different confidence levels: 90%, 95%, and 99%. For Cp, the upper and lower limits are provided, with the central value remaining constant at 1.56 across all confidence levels. The lower limit decreases from 1.29 at 90% confidence to 1.14 at 99%, while the upper limit increases from 1.83 to 1.98. This indicates a narrowing range of uncertainty as confidence increases.

For Cpk, the values are similarly structured. The lower limit starts at 0.31 for 90% confidence and rises to 0.25 for 99% confidence, while the upper limit progresses from 0.53 to 0.59. The consistent value of 0.42 for Cpk across confidence levels suggests a stable process capability,, but the lower limits indicate potential areas for improvement.

This analysis is crucial for understanding the reliability and performance of processes. It highlights the importance of monitoring these indices to ensure quality control and operational efficiency. The data presented can guide decision-making regarding process improvements and resource allocation. Overall, this slide serves as a foundational component for organizations aiming to enhance their operational excellence.

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