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).
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
(Be sure to subtract in the same direction).
| City (mpg) | Highway (mpg) | Difference (mpg) |
| 18.4 | 28.5 | |
| 26.3 | 32 | |
| 22.7 | 30.7 | |
| 19.7 | 29.5 | |
| 21.3 | 31.8 | |
| 17.9 | 21.3 | |
| 24.1 | 23.2 | |
| 25.2 | 25 |
What are the correct hypotheses? (Select the correct symbols and values.)
H0: Select an answer μ s₁² μ₁ p σ₁² x̄₂ x̄₁ μ(d) ? ≠ ≤ ≥ = < > Select an answer x̄₁ p 0 x̄₂ μ₂ μ μ₁ s₁² σ₁²
H1: Select an answer μ₁ x̄₁ x̄₂ μ₂ p μ(d) μ σ₂² s₂² ? ≤ > = ≥ ≠ < Select an answer x̄₂ 0 x̄₁ μ₂ μ p s₁² σ₁² μ₁
df =
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 left, to the right, between or left and right of the t-score(s).
Shade: Left of a valueRight of a valueBetween two values2 regions. Click and drag the arrows to adjust the values.
Decision: Select an answer Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis Accept the alternative hypothesis .
Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is not enough evidence to support The sample data supports There is sufficient evidence to warrant rejection of the claim that the mean difference in miles per gallon is higher for cars on the city streets.
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