We took 15 football players and 20 rugby players. We measure the time for them to run 100 meters. The football players have a mean of 16.3 seconds and a standard deviation of 2.1 seconds. The rugby players have a mean of 18.1 seconds and standard deviation of 2.8 seconds. Assuming normality we want to see if there is enough evidence that the football players run the 100 meters faster than the rugby players. Show clearly your work and the 5 steps of hypothesis testing.