A low profile tire is an automobile tire that has a short sidewall height, which is the distance between the tire rim and the road. These tires provide better performance at the expense of gas mileage. The Ford Taurus was chosen to measure the effect these tires have on a car€™s gas mileage. Eleven Tauruses with standard tires were selected, and the gas mileage obtained on one tank of gas was measured for each. Low profile tires were then installed on the same cars. Using the same drivers, the gas mileage was again recorded. The results are as follows and can be found in the Excel file tires.xlsx.

Using α = 0.05, perform a hypothesis test to determine if the gas mileage obtained using standard tires is higher than the gas mileage obtained using low profile tires.

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Low Low Car Standard Profile Car Standard Profile 21.5 22.4 2 22.3 20.1 3 24.0 25.6 4 19.3 19.5 5 22.3 21.7 19.0 7 25.5 20.0 8 19.5 9 23.9 21.4 10 22.9 22.4 1 19.7 25.3 16.2 6 26.5