Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the car was set to 60 miles per hour by cruise control, and the mpg were recorded at random times. Suppose that the standard deviation of the population of mpg readings of this vehicle is known to be o = 6.5mpg. The data for mpg values from the experiment is given in Excel under MILEAGE sheet. a. Find the mean and the standard deviation of 20 samples? (2p) b. Based on a 95% confidence level, what is the margin of error for the mean estimate? (2p) c. Given the margin of error computed in part (b), give a 95% confidence interval for u, the mean highway mpg for this vehicle. The vehicle sticker information for the vehicle states a highway average of 27 mpg. Are the results of this experiment consistent with the vehicle sticker? (6p) MPG 5 37.2 21 17.4 24.9 27 36.9 38.8 35.3 32.3 23.9 19 26.1 25.8 41.4 34.4 32.5 25.3 26.5 28.2 22.1