2. (5 points) It is advertised that the average braking distance for a small car travelling at 65 miles per hour equals 110 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 106 feet. Assume that the population standard deviation is 22 feet. a. Construct the 95% confidence interval for the population average braking distance based on the sample results. b. Use a = 0.05 to determine if the average braking distance less than 110 feet. Use the critical value approach. c. Repeat the test on part b with the p-value approach. d. Use a = 0.01 to determine if the average braking distance differs from 110 feet. Use the critical value approach. e. Repeat the test on part d with the p-value approach