Final answer:
The question relates to determining if the mean number of touchdowns in a football league or the mean goals scored per game in girls' soccer has decreased, suggesting a statistical analysis such as a hypothesis test is needed.
Step-by-step explanation:
The student's question pertains to a scenario in a youth football (soccer) game where additional players are allowed to be added to a team that is trailing. However, from the context provided, it appears the actual study effort is to determine if there has been a decrease in the mean number of touchdowns in a football league or the mean goals scored per game for girls' soccer teams.
When a football league reports an average (mean) of a certain number of touchdowns or goals per game, and a study is conducted to find if there's been a change, this involves statistical methods. To assess whether there has been a decrease in the mean number of touchdowns or goals, one would typically conduct a hypothesis test.
In this case, the null hypothesis (H0) might state that the mean number of touchdowns or goals is the same as the previously reported figure. The alternative hypothesis (H1) would suggest that the mean has decreased. The calculation of the p-value from collected data would inform whether there is enough evidence to reject the null hypothesis and support the claim that the mean has indeed decreased.