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 Mean Range 1 80.5 78.7 81.0 80.4 80.1 n A2 D3 D4 און 2 R 79.6 79.6 80.4 80.3 80.8 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 3 78.9 79.4 79.7 79.4 80.6 4 80.5 79.6 80.4 80.8 78.8 5 79.7 80.6 80.5 80.0 81.1

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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**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 the text or provided in the lecture to calculate the following based on the sample and your answers from question 1.

|        |        |
|--------|--------|
| n      |        |
| A2     |        |
| D3     |        |
| D4     |        |
| \(\bar{x}\) |   |
| \(\bar{R}\) |   |

**Explanation:**
- **Question 1** requires students to calculate the mean (average) of each column of sample data and the range (difference between the maximum and minimum values) for the same.
- **Question 2** prompts students to use statistical factors (A2, D3, D4) to further analyze the sample data based on calculations from Question 1, typically using control chart formulas.
- The two tables illustrate how data is organized for computation, and students must fill in the blue-shaded areas with their calculated answers.
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 the text or provided in the lecture to calculate the following based on the sample and your answers from question 1. | | | |--------|--------| | n | | | A2 | | | D3 | | | D4 | | | \(\bar{x}\) | | | \(\bar{R}\) | | **Explanation:** - **Question 1** requires students to calculate the mean (average) of each column of sample data and the range (difference between the maximum and minimum values) for the same. - **Question 2** prompts students to use statistical factors (A2, D3, D4) to further analyze the sample data based on calculations from Question 1, typically using control chart formulas. - The two tables illustrate how data is organized for computation, and students must fill in the blue-shaded areas with their calculated answers.
**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**: [Enter calculation here]
- **Lower control limit**: [Enter calculation here]
- **In control?**: [Yes/No]

**Range Chart**

- **Upper control limit**: [Enter calculation here]
- **Lower control limit**: [Enter calculation here]
- **In control?**: [Yes/No]

**Explanation:**

The chart consists of two sections: the Mean Chart and the Range Chart. Each section has an entry for Upper Control Limit, Lower Control Limit, and a decision point for determining if the process is within control limits. These entries are to be filled based on statistical calculations from previously gathered data. The control charts help in monitoring the stability and variability of processes over time.
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**: [Enter calculation here] - **Lower control limit**: [Enter calculation here] - **In control?**: [Yes/No] **Range Chart** - **Upper control limit**: [Enter calculation here] - **Lower control limit**: [Enter calculation here] - **In control?**: [Yes/No] **Explanation:** The chart consists of two sections: the Mean Chart and the Range Chart. Each section has an entry for Upper Control Limit, Lower Control Limit, and a decision point for determining if the process is within control limits. These entries are to be filled based on statistical calculations from previously gathered data. The control charts help in monitoring the stability and variability of processes over time.
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