Two high schools are competing in a track meet. The next event is the one hundred meter dash. The coach of the Speedyville Cheetahs has asked you to construct an interval estimate of how much faster the opposing team's sprint unit is than the Cheetahs' sprinters. The Cheetahs' coach tells you that five of his sprinters average 11.5 seconds in the 100 meter dash and that their times have a standard deviation of 0.15 seconds. He says that his runners' times are normally distributed.
The Cheetahs' coach also scouted the other team, the Fleettown Rockets. He was able to observe six of their runners. The Rockets' sprinters had an average time of 11.35 seconds with a standard deviation of 0.2 seconds. The Cheetahs' coach believes that the Rockets' times are normally distributed as well.
Construct a 95% confidence interval the Coach to compare the means of the two teams' sprint units.