**Text Transcription for Educational Website:**---### Nitrogen Oxide Emissions in Vehicles**Problem 4: Nitrogen Oxide Emissions in Cars**In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed,| Car | 1 | 2 | 3 | 4 | 5 | 6 | 7 ||-----|------|------|------|------|------|------|------|| Nitrogen oxide emission (g/mi) | 0.13 | 0.18 | 0.15 | 0.09 | 0.12 | 0.18 | 0.08 |**a. Construct a 95% confidence interval** for the mean amount of nitrogen oxide emissions for all cars.**b. What effect would increasing the level of confidence have on the length of the interval?**### Explanation:- **Table**: The table lists the nitrogen oxide emissions for seven different cars. The emissions are measured in grams per mile for each car. The values are as follows: - Car 1: 0.13 g/mi - Car 2: 0.18 g/mi - Car 3: 0.15 g/mi - Car 4: 0.09 g/mi - Car 5: 0.12 g/mi - Car 6: 0.18 g/mi - Car 7: 0.08 g/mi- **Confidence Interval Construction**: - A confidence interval gives a range of values that, with a certain level of confidence (e.g., 95%), is believed to contain the true mean of the population. - Constructing a 95% confidence interval involves calculating the mean and standard deviation from the sample data, then using these to find the interval.- **Effect of Increasing Confidence Level**: - Increasing the level of confidence tends to widen the confidence interval. This is because a higher confidence level means you want to be more certain that the interval contains the true mean, thus requiring a broader range.---

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Description: **Text Transcription for Educational Website:**---### Nitrogen Oxide Emissions in Vehicles**Problem 4: Nitrogen Oxide Emissions in Cars**In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results app

Here, sample size = n = 7. Sample mean: x=0.13+...+0.087=0.13 Sample standard deviation:…

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In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed, 4. Car 1 2 3 4 6 7 Nitrogen oxide emission (g/mi) 0.13 0.18 0.15 0.09 0.12 0.18 0.08 a. Construct a 95% confidence interval for the mean amount of nitrogen oxide emissions for all cars. b. What effect would increasing the level of confidence have on the length of the interval?

In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed, 4. Car 1 2 3 4 6 7 Nitrogen oxide emission (g/mi) 0.13 0.18 0.15 0.09 0.12 0.18 0.08 a. Construct a 95% confidence interval for the mean amount of nitrogen oxide emissions for all cars. b. What effect would increasing the level of confidence have on the length of the interval?

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**Text Transcription for Educational Website:**

---

### Nitrogen Oxide Emissions in Vehicles

**Problem 4: Nitrogen Oxide Emissions in Cars**

In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed,

| Car | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|-----|------|------|------|------|------|------|------|
| Nitrogen oxide emission (g/mi) | 0.13 | 0.18 | 0.15 | 0.09 | 0.12 | 0.18 | 0.08 |

**a. Construct a 95% confidence interval** for the mean amount of nitrogen oxide emissions for all cars.

**b. What effect would increasing the level of confidence have on the length of the interval?**

### Explanation:

- **Table**: The table lists the nitrogen oxide emissions for seven different cars. The emissions are measured in grams per mile for each car. The values are as follows:
- Car 1: 0.13 g/mi
- Car 2: 0.18 g/mi
- Car 3: 0.15 g/mi
- Car 4: 0.09 g/mi
- Car 5: 0.12 g/mi
- Car 6: 0.18 g/mi
- Car 7: 0.08 g/mi

- **Confidence Interval Construction**:
- A confidence interval gives a range of values that, with a certain level of confidence (e.g., 95%), is believed to contain the true mean of the population.
- Constructing a 95% confidence interval involves calculating the mean and standard deviation from the sample data, then using these to find the interval.

- **Effect of Increasing Confidence Level**:
- Increasing the level of confidence tends to widen the confidence interval. This is because a higher confidence level means you want to be more certain that the interval contains the true mean, thus requiring a broader range.

---

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