The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 43 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 7 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 5 grams. a. Design an R- and and x-chart for this process.The UCLR equals_______________________grams and the LCLR equals___________________grams.(Enteryour response rounded to two decimal places.) **Title: Factors for Calculating Three-Sigma Limits for the X-Chart and R-Chart**This table presents the factors utilized in the calculation of three-sigma limits for both the X-Chart and R-Chart in statistical process control. These charts are crucial for monitoring process variability and ensuring quality control in manufacturing and other process-driven industries. Below is the detailed transcribed table:| Size of Sample (n) | Factor for UCL and LCL for X-Chart (A₂) | Factor for LCL for R-Chart (D₃) | Factor for UCL for R-Chart (D₄) ||--------------------|----------------------------------------|-------------------------------|-------------------------------|| 2 | 1.880 | 0 | 3.267 || 3 | 1.023 | 0 | 2.575 || 4 | 0.729 | 0 | 2.282 || 5 | 0.577 | 0 | 2.115 || 6 | 0.483 | 0 | 2.004 || 7 | 0.419 | 0.076 | 1.924 || 8 | 0.373 | 0.136 | 1.864 || 9 | 0.337 | 0.184 | 1.816 || 10 | 0.308 | 0.223 | 1.777 |### Explanation of Columns:1. **Size of Sample (n)**: This column indicates the number of samples or observations taken in a sample group.2. **Factor for UCL and LCL for X-Chart (A₂)**: This factor is used to determine the Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the X-Chart.3. **Factor for LCL for R-Chart (D₃)**: This factor is used to compute the Lower Control Limit (LCL) for the R-Chart.4. **Factor for UCL for R-Chart (D₄)**: This factor is used to compute the Upper Control Limit (UCL) for the R-Chart.The values in the table assist in adjusting

R- chart refers to the control chart that is used to monitor the variability in the process and…

Answered: The Canine Gourmet Company produces…

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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The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process average weight per packet is 43 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 7 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 5 grams.

a. Design an R- and and x-chart for this process.

The UCLR equals_______________________
grams and the LCLR equals___________________grams.

(Enteryour response rounded to two decimal places.)

**Title: Factors for Calculating Three-Sigma Limits for the X-Chart and R-Chart**

This table presents the factors utilized in the calculation of three-sigma limits for both the X-Chart and R-Chart in statistical process control. These charts are crucial for monitoring process variability and ensuring quality control in manufacturing and other process-driven industries. Below is the detailed transcribed table:

| Size of Sample (n) | Factor for UCL and LCL for X-Chart (A₂) | Factor for LCL for R-Chart (D₃) | Factor for UCL for R-Chart (D₄) |
|--------------------|----------------------------------------|-------------------------------|-------------------------------|
| 2 | 1.880 | 0 | 3.267 |
| 3 | 1.023 | 0 | 2.575 |
| 4 | 0.729 | 0 | 2.282 |
| 5 | 0.577 | 0 | 2.115 |
| 6 | 0.483 | 0 | 2.004 |
| 7 | 0.419 | 0.076 | 1.924 |
| 8 | 0.373 | 0.136 | 1.864 |
| 9 | 0.337 | 0.184 | 1.816 |
| 10 | 0.308 | 0.223 | 1.777 |

### Explanation of Columns:

1. **Size of Sample (n)**: This column indicates the number of samples or observations taken in a sample group.
2. **Factor for UCL and LCL for X-Chart (A₂)**: This factor is used to determine the Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the X-Chart.
3. **Factor for LCL for R-Chart (D₃)**: This factor is used to compute the Lower Control Limit (LCL) for the R-Chart.
4. **Factor for UCL for R-Chart (D₄)**: This factor is used to compute the Upper Control Limit (UCL) for the R-Chart.

The values in the table assist in adjusting

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