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To address Part 2(b) of the question, we need to interpret the confidence interval calculated in Part 1. Let's analyze it step by step.

### Part 2(b) Analysis
1. **Understanding the Confidence Interval**: The 90% confidence interval for the mean difference in fuel economy (\( \mu_d \)) was found to be \( 1.13 < \mu_d < 2.99 \). This interval does not include zero, which indicates that there is a significant difference between the two tread types in terms of fuel economy.

2. **Answering the Question**: The question asks whether it is reasonable to believe that the mean mileage may be the same for both types of tread. Since the confidence interval does not include zero, this suggests that the mean difference is not zero. Therefore, we can reasonably conclude that the mean mileage is likely not the same for both tread types.

3. **Conclusion**: 
   - **Choice for Dropdown 1**: "does not contain"
   - **Choice for Dropdown 2**: "does not support"

The full answer would be:

> Because the confidence interval **does not contain** 0, it **does not support** the claim that the mean mileage may be the same for both types of tread.

Would you like any further details on the statistical concepts here?

### Related Questions
1. How would the interpretation change if the confidence interval included zero?
2. What would happen to the confidence interval if a 95% confidence level were used instead?
3. How does increasing the sample size affect the confidence interval for the mean difference?
4. What assumptions are necessary for constructing this confidence interval?
5. How would we test if the mean mileage is significantly different using a hypothesis test instead?

### Tip
When interpreting confidence intervals, remember that if zero is within the interval for the difference between two means, there might be no significant difference between the groups.

Based on the confidence interval, is it reasonable to believe that the mean mileage may be the same for both types of tread?

Explore the statistical interpretation of a 90% confidence interval for the mean mileage difference between two tire tread types. Understand why the interval \(1.13 < \mu_d < 2.99\) suggests that the mean mileage may not be the same for both treads.

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