Expedia. com would like to estimate the difference between the average rental price of a car with an automatic transmission and the average rental price of a car with a manual transmission at London’s Heathrow airport. A random sample of 50 cars with an automatic transmission had an average weekly rental of $ 405.80. A random sample of 36 cars with manual transmission had an average weekly rental of $ 339.20. Assume the population standard deviation for weekly rentals of cars with automatic transmissions is $ 23 and for manual transmission is $ 26.
a. Construct a 95% confidence interval to estimate the difference in the average cost of a one week rental between these two types of cars at Heathrow.
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?