Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Kindly answer question 3
![**Question 3.** Based on your answers from questions 1 and 2, calculate the upper and lower control limits for mean and range charts, and decide if the process is in control.
### Mean Chart
- **Upper control limit:** [Empty space for calculation]
- **Lower control limit:** [Empty space for calculation]
- **In control?:** [Empty space for decision]
### Range Chart
- **Upper control limit:** [Empty space for calculation]
- **Lower control limit:** [Empty space for calculation]
- **In control?:** [Empty space for decision]
**Explanation of Charts:**
The chart contains two parts:
1. **Mean Chart**: This section is designated to record the upper and lower control limits for the mean of the dataset. It also provides a space to indicate whether the process is in control based on these calculations.
2. **Range Chart**: Similarly, this section is for calculating the upper and lower control limits for the range within the dataset and determining if the process is in control.
Both sections include spaces for calculations and a final decision on process control.](https://content.bartleby.com/qna-images/question/6284458a-c451-4ba7-ab77-93b2b1dd91dd/fb6002cb-5e45-408d-9a7b-264e7614b891/lxe8pl3_processed.jpeg)
Transcribed Image Text:**Question 3.** Based on your answers from questions 1 and 2, calculate the upper and lower control limits for mean and range charts, and decide if the process is in control.
### Mean Chart
- **Upper control limit:** [Empty space for calculation]
- **Lower control limit:** [Empty space for calculation]
- **In control?:** [Empty space for decision]
### Range Chart
- **Upper control limit:** [Empty space for calculation]
- **Lower control limit:** [Empty space for calculation]
- **In control?:** [Empty space for decision]
**Explanation of Charts:**
The chart contains two parts:
1. **Mean Chart**: This section is designated to record the upper and lower control limits for the mean of the dataset. It also provides a space to indicate whether the process is in control based on these calculations.
2. **Range Chart**: Similarly, this section is for calculating the upper and lower control limits for the range within the dataset and determining if the process is in control.
Both sections include spaces for calculations and a final decision on process control.
Transcribed Image Text:**Question 1.** The latest Samsung Update has a nominal time of 80 minutes. The results provided are from samples of five observations. Calculate the mean and range for each column.
| SAMPLE | 1 | 2 | 3 | 4 | 5 |
|--------|-----|-----|-----|-----|-----|
| 1 | 80.5| 79.6| 78.9| 80.5| 79.7|
| 2 | 78.7| 79.6| 79.4| 79.6| 80.6|
| 3 | 81.0| 80.4| 79.7| 80.4| 80.5|
| 4 | 80.4| 80.3| 79.4| 80.8| 80.0|
| 5 | 80.1| 80.8| 80.6| 78.8| 81.1|
| **Mean** | | | | | |
| **Range** | | | | | |
**Question 2.** Use factors from Table 10.3 in text or provided in the lecture to calculate the following based on the sample and your answers from question 1.
| | |
|------|------|
| n | |
| A₂ | |
| D₃ | |
| D₄ | |
| x̄ | |
| R̄ | |
**Explanation of Graphs and Diagrams:**
- **Table for Question 1:** The table lists five samples, each having five observations. The task is to calculate the mean and range for each column, representing different samples. The mean is the average of the five observations in each column, and the range is the difference between the maximum and minimum values in each column.
- **Table for Question 2:** This table requires values to be filled in using factors from an external Table 10.3 not shown here. The factors like A₂, D₃, and D₄ are statistical constants used in control charts or other statistical calculations, depending on the sample size (n). The symbols x̄ and R̄ represent the overall mean
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