A new synthetic surface has been placed on a university football field, and the team's physician wants to decide whether it has had any effect on the number of knee injuries suffered in a game. Since he has been with the team, it has experienced a mean of l = 0.7 knee injuries per game
a. If the new surface has no effect, what is the expected number of knee injuries in the first 5 games on the new surface?
b. State a null and alternative hypothesis.
c. Suppose that there are a total of y = 7 knee injuries in the first 5 games, how likely is a deviation from expected of this magnitude or greater to occur by chance?
d. If the team's physician sets a = 0.10, what should he conclude about the effect of the new surface on knee injuries?
e. What caveats about the design should be taken into account when the conclusion is being drawn?