..$6.6 Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has pro- duced the following results:

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problems S6.6, s6.7a-d, S6.8a and S6.9. Problems may be solved using QM for windows software or maually

**Designing Operations - Educational Exercise**

---

**Page 266: Part 2**

**Overview:**

This page contains exercises on designing operations with a focus on statistical process control and quality management. The exercises involve calculating control limits and interpreting data for monitoring manufacturing processes.

---

**Exercise Descriptions:**

1. **Exercise on Chicken Breasts (π):**
   - Objective: Calculate X-chart limits for monitoring caloric content in chicken breasts.
   - Instructions:
     - Determine control limits based on four and three standard deviations.
     - Discuss implications of using different standard deviations.

2. **Exercise S6.5:**
   - Ross Hopkins monitors a filling process with an average of 705 mL and range of 6 mL.
   - Task: Calculate upper and lower control limits for mean and range using a sample size of 10.

3. **Exercise S6.6:**
   - Evaluate precision-cut wire samples over 24 hours.
   - Data Table:
     - Contains hourly readings for mean (\(\bar{X}\)) and range (R).
   - Task: Develop control charts and identify patterns or causes for concern.

4. **Exercise S6.7:**
   - Control diameter in a Shanghai forging process with piston samples.
   - Data Table:
     - Displays mean and range for five days.
   - Tasks:
     - Calculate averages, control limits, and assess control based on nominal diameter of 155 mm.

5. **Exercise S6.8:**
   - Analyze bowling ball production for weight deviations.
   - Provide a set of average weights over multiple days.
   - Task: Establish control chart limits and discuss variations when using different standard deviations.

6. **Exercise S6.9:**
   - Organic Grains LLC checks net weight of loaves to ensure proper weight with statistical process control.
   - Data Table:
     - Shows weights for different loaf samples.
   - Task: Assess if the process is within control.

7. **Exercise S6.10:**
   - Investigate control measures in ingredient ounces.
   - Sample size and standard deviation provided for control chart limits.
   - Task: Determine control limits and process stability.

8. **Exercise S6.11:**
   - Analyze process stability with taken samples of steel rods.
   - Task: Draw conclusions about control.

---

**Detailed Diagrams:**

- **Data Tables:**
  - Organized with columns for metrics such as averages
Transcribed Image Text:**Designing Operations - Educational Exercise** --- **Page 266: Part 2** **Overview:** This page contains exercises on designing operations with a focus on statistical process control and quality management. The exercises involve calculating control limits and interpreting data for monitoring manufacturing processes. --- **Exercise Descriptions:** 1. **Exercise on Chicken Breasts (π):** - Objective: Calculate X-chart limits for monitoring caloric content in chicken breasts. - Instructions: - Determine control limits based on four and three standard deviations. - Discuss implications of using different standard deviations. 2. **Exercise S6.5:** - Ross Hopkins monitors a filling process with an average of 705 mL and range of 6 mL. - Task: Calculate upper and lower control limits for mean and range using a sample size of 10. 3. **Exercise S6.6:** - Evaluate precision-cut wire samples over 24 hours. - Data Table: - Contains hourly readings for mean (\(\bar{X}\)) and range (R). - Task: Develop control charts and identify patterns or causes for concern. 4. **Exercise S6.7:** - Control diameter in a Shanghai forging process with piston samples. - Data Table: - Displays mean and range for five days. - Tasks: - Calculate averages, control limits, and assess control based on nominal diameter of 155 mm. 5. **Exercise S6.8:** - Analyze bowling ball production for weight deviations. - Provide a set of average weights over multiple days. - Task: Establish control chart limits and discuss variations when using different standard deviations. 6. **Exercise S6.9:** - Organic Grains LLC checks net weight of loaves to ensure proper weight with statistical process control. - Data Table: - Shows weights for different loaf samples. - Task: Assess if the process is within control. 7. **Exercise S6.10:** - Investigate control measures in ingredient ounces. - Sample size and standard deviation provided for control chart limits. - Task: Determine control limits and process stability. 8. **Exercise S6.11:** - Analyze process stability with taken samples of steel rods. - Task: Draw conclusions about control. --- **Detailed Diagrams:** - **Data Tables:** - Organized with columns for metrics such as averages
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