A study seeks to estimate the difference in the mean fuel economy (measured in miles per gallon) for vehicles under two treatments: driving with underinflated tires versus driving with properly inflated tires. To quantify this difference, the manufacturer randomly selects 12 cars of the same make and model from the assembly line and then randomly assigns six of the cars to be driven 500 miles with underinflated tires and the other six cars to be driven 500 miles with properly inflated tires. Here are summary statistics and dotplots of the results:Group NamenmeanSDminQ1medQ3max1: Underinflated616.3330.75315.2515.7516.3751717.252: Properly inflated618.2921.49516.51718.12519.7520.2What is the correct 90% confidence interval for the true difference in the population means (underinflated – properly inflated)? Use the conservative df.Find the t-table here.