Can I please get this in 15min?

2. (50 pts.) A researcher wanted to see whether cars that supposedly do not need high-octane gasoline get more miles per gallon using regular or high octane gas. They test several cars, using both types of gas in each car at different times. The mileage for each gas type for each car is in the following table. Assume the population distribution is normal. Car A B C D E F G H Regular 15 23 21 35 42 28 19 32 31 24 High-octane 18 21 25 34 30 19 27 34 20 a. Does using high-octane gasoline improve the gas mileage at the 5% significance level? b. Construct a 95% confidence interval for the mean difference in gas mileage. April 20, 2022 Math 140 Test 3 c. What is the point estimate of this interval? d. What is the margin of error of this interval