Please help me with this, I have no idea how to even approach the problem.

1. Some people believe that higher-octane fuels result in better gas mileage for their car. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in a study. Each participant received 10 gallons of gas and drove their car on a closed course that simulated both city and highway driving. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled with 87-octane or 92-octane fuel first, and the driver did not know which type of fuel was in his or her tank.Test the claim that the mileage from 87 octanes is worse than the mileage from 92 octane using at a significance level of 0.10. The data is attached called "octane".

Octane Data