Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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The process outputs from three suppliers are shown in the table. The customer is striving to achieve 3-Sigma performance. The product specification limits are USL = 210, and LSL = 190. If the three suppliers were able to shift their process averages to the target value, which supplier(s) would be capable of 3-Sigma performance?

A. Suppliers 2 and 3
B. Suppliers 1 and 2
C. Suppliers 1 and 3
D. Only supplier 1.
The table details the statistical analysis of data from three suppliers, focusing on key metrics: the sample mean (Xbar), standard deviation (s), and process capability index (Ppk).

| **Supplier** | **Xbar** | **s** | **Ppk**  |
|--------------|----------|-------|---------|
| 1            | 203      | 2     | 1.167   |
| 2            | 204.5    | 3     | 0.611   |
| 3            | 206      | 4     | 0.333   |

### Explanation:

- **Supplier**: Identifies each of the suppliers by number.
- **Xbar (Sample Mean)**: Represents the average value of the sample for each supplier.
- **s (Standard Deviation)**: Indicates the variability or spread of the sample data for each supplier.
- **Ppk (Process Capability Index)**: A statistical measure that assesses how well a process can produce output within specified limits. Higher values indicate better capability, meaning the process is more likely to produce within the desired specifications.

Each supplier's data provides insights into their process stability and consistency, crucial for quality control and improvement.
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Transcribed Image Text:The table details the statistical analysis of data from three suppliers, focusing on key metrics: the sample mean (Xbar), standard deviation (s), and process capability index (Ppk). | **Supplier** | **Xbar** | **s** | **Ppk** | |--------------|----------|-------|---------| | 1 | 203 | 2 | 1.167 | | 2 | 204.5 | 3 | 0.611 | | 3 | 206 | 4 | 0.333 | ### Explanation: - **Supplier**: Identifies each of the suppliers by number. - **Xbar (Sample Mean)**: Represents the average value of the sample for each supplier. - **s (Standard Deviation)**: Indicates the variability or spread of the sample data for each supplier. - **Ppk (Process Capability Index)**: A statistical measure that assesses how well a process can produce output within specified limits. Higher values indicate better capability, meaning the process is more likely to produce within the desired specifications. Each supplier's data provides insights into their process stability and consistency, crucial for quality control and improvement.
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