Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets. (Be sure to subtract in the same direction).

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Do cars get better gas mileage on the highway?

The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets.
(Be sure to subtract in the same direction).

**Table: Mileage Comparison**

| City (mpg) | Highway (mpg) | Difference (mpg) |
|------------|---------------|------------------|
| 27.7       | 31.9          | -4.20            |
| 17.6       | 16.5          | 1.10             |
| 18.8       | 27.5          | -8.70            |
| 28.2       | 34.6          | -6.40            |
| 21.3       | 26.4          | -5.10            |
| 19.1       | 30.4          | -11.3            |
| 28.3       | 26.7          | 2.00             |
| 20.0       | 24.1          | -4.10            |

**Hypothesis Testing Section**

- **What are the correct hypotheses?**
  - (Select the correct symbols and values.)

\[ H_0: \] 
- [Select an answer] [Symbol Dropdown] [Select an answer]

\[ H_1: \]
- [Select an answer] [Symbol Dropdown] [Select an answer]

**Original Claim:**
- [Select an answer]

**Degrees of Freedom**

\[ df = \]
- [Input field]
Transcribed Image Text:**Table: Mileage Comparison** | City (mpg) | Highway (mpg) | Difference (mpg) | |------------|---------------|------------------| | 27.7 | 31.9 | -4.20 | | 17.6 | 16.5 | 1.10 | | 18.8 | 27.5 | -8.70 | | 28.2 | 34.6 | -6.40 | | 21.3 | 26.4 | -5.10 | | 19.1 | 30.4 | -11.3 | | 28.3 | 26.7 | 2.00 | | 20.0 | 24.1 | -4.10 | **Hypothesis Testing Section** - **What are the correct hypotheses?** - (Select the correct symbols and values.) \[ H_0: \] - [Select an answer] [Symbol Dropdown] [Select an answer] \[ H_1: \] - [Select an answer] [Symbol Dropdown] [Select an answer] **Original Claim:** - [Select an answer] **Degrees of Freedom** \[ df = \] - [Input field]
Based on the hypotheses, find the following:

- **Test Statistic** = _______ (Round to three decimal places.)

- **Critical value(s)** = _______ (Round to three decimal places.)

- **p-value** = _______ (Round to four decimal places.)

Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop-down menu to shade to the right, between, or left and right of the t-score(s).

- **Shade:** Left of a value. Click and drag the arrows to adjust the values.

(Graph Explanation: It shows a bell-shaped curve representing the sampling distribution. The horizontal axis ranges from -4 to 4, marked with tick marks. A blue shaded region is shown to the left of -1.5, indicating the critical region.)

- **Decision:** [Select an answer]

- **Conclusion:** [Select an answer] the claim that the mean difference in miles per gallon is higher for cars on the city streets.
Transcribed Image Text:Based on the hypotheses, find the following: - **Test Statistic** = _______ (Round to three decimal places.) - **Critical value(s)** = _______ (Round to three decimal places.) - **p-value** = _______ (Round to four decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop-down menu to shade to the right, between, or left and right of the t-score(s). - **Shade:** Left of a value. Click and drag the arrows to adjust the values. (Graph Explanation: It shows a bell-shaped curve representing the sampling distribution. The horizontal axis ranges from -4 to 4, marked with tick marks. A blue shaded region is shown to the left of -1.5, indicating the critical region.) - **Decision:** [Select an answer] - **Conclusion:** [Select an answer] the claim that the mean difference in miles per gallon is higher for cars on the city streets.
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