In: Statistics and Probability
One argument to be made about curling at a very elite level, like the men’s world championships, is that all the teams are equally highly skilled and whoever wins is mostly a function of chance (or use the term “luck” if you prefer). You’ve decided to test this idea by looking at the number of points scored by the Canadian team in comparison to the number of points scored by their competitors in each of their games. At the time of setting this exam, the Canadian team has played 8 roundrobin games. The following table contains the scores of the Canadian team and their opponents for each of those 8 games. Do you have enough evidence to claim (at α = .05) that there is a significant difference in the number of points scored by the Canadians and their opponents?
Canadians 6 |11 | 9 | 8 | 10| 7 | 3 | 4
Opponent 5 | 3 | 5 | 6 | 2 | 4 | 9 | 9