7.25 Fuel economy. Although the Environmental Protection Agency (EPA) establishes the tests to determine the fuel economy of new cars, it often does not perform them. Instead, the test protocols are given to the car companies, and the companies perform the tests themselves. To keep the industry honest, the EPA runs some spot checks each year. Recently, the EPA announced that Hyundai and Kia must lower their fuel economy estimates for many of their models." Here are some city miles per gallon (mpg) values for one of the models the EPA investigated: MILEAGE 28.0 25.7 25.8 28.0 28.5 29.8 26.9 28.3 29.8 27.2 26.7 27.7 30.2 30.4 29.5 28.0 Give a 95% confidence interval for u, the mean city mpg for this model.

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### 7.25 Fuel Economy

Although the Environmental Protection Agency (EPA) establishes the tests to determine the fuel economy of new cars, it often does not perform them. Instead, the test protocols are given to the car companies, and the companies perform the tests themselves. To keep the industry honest, the EPA runs some spot checks each year. Recently, the EPA announced that Hyundai and Kia must lower their fuel economy estimates for many of their models.

**Data Investigation:**
The table below presents city miles per gallon (mpg) values for one of the models the EPA investigated:

| Values |
|--------|
| 28.0   |
| 25.7   |
| 25.8   |
| 28.0   |
| 28.5   |
| 29.8   |
| 30.2   |
| 30.4   |
| 26.9   |
| 28.3   |
| 29.8   |
| 27.2   |
| 26.7   |
| 27.7   |
| 29.5   |
| 28.0   |

**Statistical Analysis:**
Calculate a 95% confidence interval for \( \mu \), the mean city mpg for this model. 

**Note:** Confidence intervals are used to estimate the range in which a population parameter will lie with a certain level of certainty, based on sample data.
Transcribed Image Text:### 7.25 Fuel Economy Although the Environmental Protection Agency (EPA) establishes the tests to determine the fuel economy of new cars, it often does not perform them. Instead, the test protocols are given to the car companies, and the companies perform the tests themselves. To keep the industry honest, the EPA runs some spot checks each year. Recently, the EPA announced that Hyundai and Kia must lower their fuel economy estimates for many of their models. **Data Investigation:** The table below presents city miles per gallon (mpg) values for one of the models the EPA investigated: | Values | |--------| | 28.0 | | 25.7 | | 25.8 | | 28.0 | | 28.5 | | 29.8 | | 30.2 | | 30.4 | | 26.9 | | 28.3 | | 29.8 | | 27.2 | | 26.7 | | 27.7 | | 29.5 | | 28.0 | **Statistical Analysis:** Calculate a 95% confidence interval for \( \mu \), the mean city mpg for this model. **Note:** Confidence intervals are used to estimate the range in which a population parameter will lie with a certain level of certainty, based on sample data.
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