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. E Click the icon to view the data. The process capability index, Cok, is equal to 0.917. (Enter your response rounded to three decimal places.) Assume that the process is in statistical control. Is the process capable producing the part at the four-sigma level? Explain. Since C, equals, the process is not capable because there are too many parts outside of the allowable tolerances . (Enter your response rounded to three decimal places.)

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Find Cp/ Cp equals to what?

# Process Capability Analysis

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 into 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.
Transcribed Image Text:# Process Capability Analysis 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 into 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.
This table presents data on observations measured in millimeters across eight different categories for five samples. Each sample has values recorded for the respective categories.

### Table: Observations in Millimeters

| 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 |
| 2      | 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 | 7.900 | 8.900 | 9.500 |

### Explanation

- **Samples**: Rows labeled from 1 to 5 represent different samples.
- **Observations**: Columns labeled from 1 to 8 represent different measurements for each sample. The values range from approximately 6.9 millimeters to 10.1 millimeters.
  
This table can be used for analyzing trends or patterns in the data across different samples and observations.
Transcribed Image Text:This table presents data on observations measured in millimeters across eight different categories for five samples. Each sample has values recorded for the respective categories. ### Table: Observations in Millimeters | 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 | | 2 | 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 | 7.900 | 8.900 | 9.500 | ### Explanation - **Samples**: Rows labeled from 1 to 5 represent different samples. - **Observations**: Columns labeled from 1 to 8 represent different measurements for each sample. The values range from approximately 6.9 millimeters to 10.1 millimeters. This table can be used for analyzing trends or patterns in the data across different samples and observations.
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