A travel website would like to estimate the difference between the average rental price of a car with automatic transmission versus the average rental price of a car with manual transmission at a certain airport. The table below shows the average one week rental prices for two random samples, as well as the population standard deviations and sample sizes for each type of car Complete parts a and b Sample mean Sample size Population standard deviation Automatic $401 90 53 $24 Manual $349 30 33 $27 a. Construct a 90% confidence interval to estimate the difference in the average cost of a one-week rental between these two types of cars at the airport. Let the cars with automatic transmissions be population 1 and the cars with manual transmissions be population 2 The confidence interval is ($ ] ) (Round to the nearest cent as needed.) b. Based on the results from part a, can you conclude that a difference exists in the average rental price of the two types of cars? Since the confidence interval include $0, there is evidence to conclude that a difference exists in the average price of the two types of cars