Question: Is there a significant difference in the fuel efficiency of a car for regular unleaded and premium unleaded gas? To test this hypothesis, an analyst

Is there a significant difference in the fuel efficiency of a car for regular unleaded and premium unleaded gas? To test this hypothesis, an analyst randomly selected 15 drivers for a study. They were to drive their cars for one month on regular unleaded and for one month on premium unleaded gas. The participants drove their own cars for this experiment. The average sample difference was 1.32 L/100 km in favour of the premium unleaded, and the sample standard deviation of difference was 2.08 L/100 km. For α = 0.01, does the test show enough evidence for the analyst to conclude that there is a significant difference in fuel efficiency between regular unleaded and premium unleaded gas? Assume the differences in fuel efficiency figures are normally distributed in the population.

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