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The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes in precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process. - X Data Table ? Explain. Observation (millimeters) (Enter your response rounded to three decimal places.) Sample 1 2 3 4 5 6 7 8 1 7.800 7.300 7.400 9.700 8.800 9.000 7.200 6.900 8.600 6.900 9.400 9.000 6.900 6.900 7.900 7.200 3 10.100 7.200 9.900 9.200 7.200 7.400 8.400 7.200 4 9.600 7.700 8.800 8.100 7.200 7.200 8.400 7.700 5 9.800 8.200 7.900 9.900 7.900 8.500 8.900 9.500 Print Done

The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes in precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process. - X Data Table ? Explain. Observation (millimeters) (Enter your response rounded to three decimal places.) Sample 1 2 3 4 5 6 7 8 1 7.800 7.300 7.400 9.700 8.800 9.000 7.200 6.900 8.600 6.900 9.400 9.000 6.900 6.900 7.900 7.200 3 10.100 7.200 9.900 9.200 7.200 7.400 8.400 7.200 4 9.600 7.700 8.800 8.100 7.200 7.200 8.400 7.700 5 9.800 8.200 7.900 9.900 7.900 8.500 8.900 9.500 Print Done

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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**Text for Educational Website** --- ### Statistical Process Control and Capability Analysis **Question:** Assume that the process is in statistical control. Is the process capable of producing the part at the four-sigma level? Explain. **Analysis:** Since \( C_p \) equals [Dropdown/Menu Box], the process [Text Entry Box]. *(Enter your response rounded to three decimal places.)* --- **Explanation:** This section is evaluating whether a process, which is statistically stable and in control, can consistently produce outputs within a specified tolerance level known as the four-sigma level. **Key Components:** - **\( C_p \) Value:** A dropdown/menu box prompts users to select the calculated process capability index value. - **Process Capability Explanation:** A text entry box is provided for users to input their explanation about the capability based on the \( C_p \) value. Advice for educators: Highlight the importance of understanding \( C_p \) (Process Capability Index) as it determines how well a process can produce output within specified limits, crucial for quality control in manufacturing and other fields. ---
Transcribed Image Text:**Text for Educational Website** --- ### Statistical Process Control and Capability Analysis **Question:** Assume that the process is in statistical control. Is the process capable of producing the part at the four-sigma level? Explain. **Analysis:** Since \( C_p \) equals [Dropdown/Menu Box], the process [Text Entry Box]. *(Enter your response rounded to three decimal places.)* --- **Explanation:** This section is evaluating whether a process, which is statistically stable and in control, can consistently produce outputs within a specified tolerance level known as the four-sigma level. **Key Components:** - **\( C_p \) Value:** A dropdown/menu box prompts users to select the calculated process capability index value. - **Process Capability Explanation:** A text entry box is provided for users to input their explanation about the capability based on the \( C_p \) value. Advice for educators: Highlight the importance of understanding \( C_p \) (Process Capability Index) as it determines how well a process can produce output within specified limits, crucial for quality control in manufacturing and other fields. ---
**Data Table Explanation** The Farley Manufacturing Company prides itself on the quality of its products, particularly the precision testing equipment. The specifications for a key component are 8.000 ± 3.000 millimeters. Management is evaluating the capability of the process to produce this component by analyzing data gathered from test runs. **Data Table: Observations in Millimeters** This table displays observations collected over five samples, with each sample consisting of eight measurements in millimeters: - **Sample 1:** - 7.800, 7.300, 7.400, 9.700, 8.800, 9.000, 7.200, 6.900 - **Sample 2:** - 8.600, 6.900, 9.400, 9.000, 6.900, 6.900, 7.900, 7.200 - **Sample 3:** - 10.100, 7.200, 9.900, 9.200, 7.200, 7.400, 8.400, 7.200 - **Sample 4:** - 9.600, 7.700, 8.800, 8.100, 7.200, 7.200, 8.400, 7.700 - **Sample 5:** - 9.800, 8.200, 7.900, 9.900, 7.900, 8.500, 8.900, 9.500 This data is utilized to determine if the process capability meets the specified precision requirements. Analysis of these samples is crucial for maintaining quality standards and ensuring competitive performance in manufacturing processes.
Transcribed Image Text:**Data Table Explanation** The Farley Manufacturing Company prides itself on the quality of its products, particularly the precision testing equipment. The specifications for a key component are 8.000 ± 3.000 millimeters. Management is evaluating the capability of the process to produce this component by analyzing data gathered from test runs. **Data Table: Observations in Millimeters** This table displays observations collected over five samples, with each sample consisting of eight measurements in millimeters: - **Sample 1:** - 7.800, 7.300, 7.400, 9.700, 8.800, 9.000, 7.200, 6.900 - **Sample 2:** - 8.600, 6.900, 9.400, 9.000, 6.900, 6.900, 7.900, 7.200 - **Sample 3:** - 10.100, 7.200, 9.900, 9.200, 7.200, 7.400, 8.400, 7.200 - **Sample 4:** - 9.600, 7.700, 8.800, 8.100, 7.200, 7.200, 8.400, 7.700 - **Sample 5:** - 9.800, 8.200, 7.900, 9.900, 7.900, 8.500, 8.900, 9.500 This data is utilized to determine if the process capability meets the specified precision requirements. Analysis of these samples is crucial for maintaining quality standards and ensuring competitive performance in manufacturing processes.
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