Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.01 significance level, test the claim that the mpg on the highway is better than in the city.
Do cars really get better mileage per gallon on the highway?
The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.01 significance level, test the claim that the mpg on the highway is better than in the city.
MPG on the Highway
| 32.6 | 35.5 | 36 | 34 |
| 31.3 | 30 | 33.1 | 31.9 |
| 28.3 | 29.1 | 27.8 | 28.3 |
| 40.8 | 35.1 | 31.6 | 37 |
| 28.3 | 29.9 | 37.8 | 27.1 |
| 33.2 | 34.2 |
MPG in the City
| 23.5 | 25.7 | 22.6 | 24.4 |
| 24.9 | 27.9 | 27.7 | 26.2 |
| 26.4 | 24.7 | 22 | 23.1 |
| 22.3 | 25.1 | 26.6 | 25.2 |
| 23.7 | 21.8 | 23.8 | 25.1 |
| 25.6 | 22.2 |
What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)
H0:
H1:
Original Claim = Select an answer H₀ H₁ Correct
df =
Based on the hypotheses, find the following:
Test Statistic =
Critical value(s) =
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