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Suppose that  Process B and Process C, each have a lower specification limit (LSL) of 2, and an upper specification limit (USL) of 10.  Then:  a. Process B is cappable. b. Process C is cappable. c. Both Process B and Process C are cappable. d. Neither process B nor Process C is cappable.

Suppose that  Process B and Process C, each have a lower specification limit (LSL) of 2, and an upper specification limit (USL) of 10.  Then:  a. Process B is cappable. b. Process C is cappable. c. Both Process B and Process C are cappable. d. Neither process B nor Process C is cappable.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Suppose that  Process B and Process C, each have a lower specification limit (LSL) of 2, and an upper specification limit (USL) of 10.  Then: 


a. Process B is cappable.
b. Process C is cappable.
c. Both Process B and Process C are cappable.
d. Neither process B nor Process C is cappable.
### Statistical Analysis of Processes: Understanding Variability #### Graphical Illustration of Process Distributions This graph demonstrates the probability distributions of three different processes: Process A, Process B, and Process C. The x-axis represents the possible outcomes, ranging from 0 to 10, while the y-axis represents the probability density function (PDF) values. 1. **Process A (Dashed Line)** - The distribution of Process A is represented by a dashed line. - The curve peaks around an outcome of 3, indicating that most values are concentrated around this point. - The spread of the distribution is relatively wide compared to Process B, denoting greater variability in outcomes. 2. **Process B (Solid Line)** - The distribution for Process B is shown by a solid line. - The peak is highest, occurring around the value of 4, signifying that the majority of outcomes are closely centered around this point. - The spread of the distribution is narrowest, indicating lesser variability and more consistency in outcomes. 3. **Process C (Dash-Dot Line)** - The distribution for Process C is depicted by a dash-dot line. - This distribution peaks around an outcome of 6. - Similar to Process A, the spread is wide, suggesting higher variability in the outcomes of Process C. #### Summary Understanding these probability distributions helps in evaluating and comparing the consistency and predictability of different processes. For instance, Process B, with its narrow and high peak, appears to be the most consistent with the least variability, while Processes A and C exhibit greater variability, albeit around different mean values. #### Importance in Education and Industry Studying and interpreting such graphs is crucial for educators and industry professionals to improve process quality, predict outcomes, and make informed decisions based on statistical analysis. This visualization underscores the necessity of reducing variability to achieve better process control and quality assurance. This chart serves as an educational tool for mastering the concepts of probability distributions and their practical applications in various fields.
Transcribed Image Text:### Statistical Analysis of Processes: Understanding Variability #### Graphical Illustration of Process Distributions This graph demonstrates the probability distributions of three different processes: Process A, Process B, and Process C. The x-axis represents the possible outcomes, ranging from 0 to 10, while the y-axis represents the probability density function (PDF) values. 1. **Process A (Dashed Line)** - The distribution of Process A is represented by a dashed line. - The curve peaks around an outcome of 3, indicating that most values are concentrated around this point. - The spread of the distribution is relatively wide compared to Process B, denoting greater variability in outcomes. 2. **Process B (Solid Line)** - The distribution for Process B is shown by a solid line. - The peak is highest, occurring around the value of 4, signifying that the majority of outcomes are closely centered around this point. - The spread of the distribution is narrowest, indicating lesser variability and more consistency in outcomes. 3. **Process C (Dash-Dot Line)** - The distribution for Process C is depicted by a dash-dot line. - This distribution peaks around an outcome of 6. - Similar to Process A, the spread is wide, suggesting higher variability in the outcomes of Process C. #### Summary Understanding these probability distributions helps in evaluating and comparing the consistency and predictability of different processes. For instance, Process B, with its narrow and high peak, appears to be the most consistent with the least variability, while Processes A and C exhibit greater variability, albeit around different mean values. #### Importance in Education and Industry Studying and interpreting such graphs is crucial for educators and industry professionals to improve process quality, predict outcomes, and make informed decisions based on statistical analysis. This visualization underscores the necessity of reducing variability to achieve better process control and quality assurance. This chart serves as an educational tool for mastering the concepts of probability distributions and their practical applications in various fields.
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