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 size Population 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.)
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