5.32 Fuel efficiency of manual and automatic cars, Part I: Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.
City MPG, Automatic | City MPG, Manual | |
---|---|---|
Mean | 16.12 | 19.85 |
SD | 3.58 | 4.51 |
n | 26 | 26 |

The hypotheses for this test are:
The degrees of freedom associated with this test is:
The test statistic is: (please round to two decimal places)
The p-value is:
Interpret the result of the hypothesis test in the context of the problem: