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Jus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Six samples were taken during the first week of production. The OM team wants to monitor the dispersion of the process. What chart should they use? Is the process in control? Sample Bottle 1 Bottle 2 Bottle 3 Bottle 4 1 16.5 16.3 15.7 16.2 2 16.1 16 15.5 16.1 3 16.3 16.5 15.8 15.7 4 15.6 16 16.3 16.2 5 16 15.9 16.2 15.8 6 15.9 16.3 16.1 15.5 O x-bar chart; Yes. O x-bar chart; No. O R-chart; Yes. O R-chart; No. O p-chart; Yes.

Jus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Six samples were taken during the first week of production. The OM team wants to monitor the dispersion of the process. What chart should they use? Is the process in control? Sample Bottle 1 Bottle 2 Bottle 3 Bottle 4 1 16.5 16.3 15.7 16.2 2 16.1 16 15.5 16.1 3 16.3 16.5 15.8 15.7 4 15.6 16 16.3 16.2 5 16 15.9 16.2 15.8 6 15.9 16.3 16.1 15.5 O x-bar chart; Yes. O x-bar chart; No. O R-chart; Yes. O R-chart; No. O p-chart; Yes.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Monitoring Production Quality with Control Charts Jus de Fruit Co. has set up automated production for its new bottled Triple Berry Colada. During the first week of production, six samples were taken to monitor the consistency and quality of the product. For quality control purposes, it is essential to analyze the dispersion of the process. #### Sample Data Analysis The table below shows the six samples with measurements from four bottles each: | Sample | Bottle 1 | Bottle 2 | Bottle 3 | Bottle 4 | |--------|----------|----------|----------|----------| | 1 | 16.5 | 16.3 | 15.7 | 16.2 | | 2 | 16.1 | 16 | 15.5 | 16.1 | | 3 | 16.3 | 16.5 | 15.8 | 15.7 | | 4 | 15.6 | 16 | 15.8 | 16.2 | | 5 | 16 | 15.9 | 16.2 | 15.8 | | 6 | 15.9 | 16.3 | 16.1 | 15.5 | Using this data, the Operations Management (OM) team must determine which type of control chart is appropriate for monitoring dispersion and whether the process is under control. #### Appropriate Chart Selection: Based on the above data, the OM team should consider the following options to determine the correct control chart: 1. **x-bar chart; Yes** 2. **x-bar chart; No** 3. **R-chart; Yes** 4. **R-chart; No** 5. **p-chart; Yes** #### Answer: The correct answer is **R-chart; Yes**. **Explanation:** - The R-chart (Range chart) is suitable for monitoring the dispersion or variability within a process. - Given that the question focuses on dispersion, the R-chart should be used to ensure the process remains in control. This chart helps to track variation over time, indicating if the process variability is consistent. In summary, to monitor the dispersion of the production process of Triple Berry Colada, the OM team should use an R-chart and confirm that the process is in control.
Transcribed Image Text:### Monitoring Production Quality with Control Charts Jus de Fruit Co. has set up automated production for its new bottled Triple Berry Colada. During the first week of production, six samples were taken to monitor the consistency and quality of the product. For quality control purposes, it is essential to analyze the dispersion of the process. #### Sample Data Analysis The table below shows the six samples with measurements from four bottles each: | Sample | Bottle 1 | Bottle 2 | Bottle 3 | Bottle 4 | |--------|----------|----------|----------|----------| | 1 | 16.5 | 16.3 | 15.7 | 16.2 | | 2 | 16.1 | 16 | 15.5 | 16.1 | | 3 | 16.3 | 16.5 | 15.8 | 15.7 | | 4 | 15.6 | 16 | 15.8 | 16.2 | | 5 | 16 | 15.9 | 16.2 | 15.8 | | 6 | 15.9 | 16.3 | 16.1 | 15.5 | Using this data, the Operations Management (OM) team must determine which type of control chart is appropriate for monitoring dispersion and whether the process is under control. #### Appropriate Chart Selection: Based on the above data, the OM team should consider the following options to determine the correct control chart: 1. **x-bar chart; Yes** 2. **x-bar chart; No** 3. **R-chart; Yes** 4. **R-chart; No** 5. **p-chart; Yes** #### Answer: The correct answer is **R-chart; Yes**. **Explanation:** - The R-chart (Range chart) is suitable for monitoring the dispersion or variability within a process. - Given that the question focuses on dispersion, the R-chart should be used to ensure the process remains in control. This chart helps to track variation over time, indicating if the process variability is consistent. In summary, to monitor the dispersion of the production process of Triple Berry Colada, the OM team should use an R-chart and confirm that the process is in control.
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