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.

Sample mean Sample sizePopulation standard deviation

Automatic $406.30 $52 $24

Manual $365.60 $38$29

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.)