Question

given the context of the car measurement data, which issue can be addressed by conducting a statistical analysis of the values?

car weights and highway fuel consumption amounts
weight (lb) \t\t4035 3315 4115 3650 3565
highway fuel consumption (mi/gal) \t26 \t31 \t29 \t29 \t30

(1 point)

○ a relationship exists between the weight of a car and its highway speed.
○ a relationship exists between the weight of a car and its highway gas mileage.
○ a car driving on the highway will get better gas mileage than a car driving in the city.
○ a heavier car will get better highway gas mileage.

Explanation:

• Option A: The data given is about weight and fuel consumption, not highway speed. So this can't be addressed.
• Option B: The data has car weights (lb) and highway fuel consumption (mi/gal). Statistical analysis can check the relationship between these two variables.
• Option C: The data has no information about city driving gas mileage, so this can't be addressed.
• Option D: Looking at the data (e.g., 4035 lb car has 26 mi/gal, 3315 lb car has 31 mi/gal), heavier cars seem to have lower mileage, so this statement is incorrect and not what the data can support for a relationship in the way it's stated.

Answer:

B. A relationship exists between the weight of a car and its highway gas mileage.