Question

Two sprinters, Christopher and Nick, want to find out who has the faster time when compared to each of their teams. Christopher has a time of 10.8 seconds, and his team has a mean time of 11.5 seconds and a standard deviation of 0.4 seconds. Nick has a time of 11.1 seconds, and his team has a mean of 11.6 seconds and a standard deviation of 0.2 seconds. Who has the faster time when compared to each of their teams?

a. Christopher
b. Nick
c. The times are equal when compared to each of their teams.
d. There is not enough information.

Answer 1

Christopher has the faster time when compared to his team.

Step-by-step explanation:

To determine who has the faster time when compared to each of their teams, we need to compare Christopher's time with his team's mean time and standard deviation, and compare Nick's time with his team's mean time and standard deviation.

For Christopher, his time of 10.8 seconds is faster than his team's mean time of 11.5 seconds, considering that a lower time is faster. Additionally, Christopher's time is more than one standard deviation below his team's mean time, indicating that he is significantly faster compared to his team.

For Nick, his time of 11.1 seconds is also faster than his team's mean time of 11.6 seconds. However, Nick's time is less than one standard deviation below his team's mean time. This suggests that Nick is faster than his team, but not as significantly as Christopher is. Therefore, the answer is a. Christopher, as he has the faster time when compared to his team.