1. An auto manufacturer makes a type of car that is known to have an average mileage of 31.5 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of eight cars. The mileages for this sample of cars are shown below: 32.8 31.9 30.4 33.3 32.2 31.5 33.6 31.0 The sample mean and sample standard deviation are calculated to be 32.1 mpg and 1.1 mpg, respectively. Mileages are known to follow a normal distribution. (a) Cal-Inate- a 95% condence interval for the true mean mileage with the new smaller engine. (1)) Provide an interpretation of the interval in {a}