Answer :
We are given the following information for the two teams:
- Team A has a mean of [tex]$59.32$[/tex] seconds.
- Team B has a mean of [tex]$59.10$[/tex] seconds and a mean absolute deviation (MAD) of [tex]$2.4$[/tex] seconds.
Follow these steps to solve the problem:
1. Compute the difference between the means of Team A and Team B:
[tex]$$
\text{Difference} = 59.32 - 59.10 = 0.22 \text{ seconds}.
$$[/tex]
2. Find the ratio of the difference in means to the mean absolute deviation of Team B:
[tex]$$
\text{Ratio} = \frac{0.22}{2.4}.
$$[/tex]
3. Divide to obtain the ratio:
[tex]$$
\frac{0.22}{2.4} \approx 0.09167.
$$[/tex]
4. Rounding to the nearest hundredth gives approximately [tex]$0.09$[/tex].
Thus, the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B is [tex]$0.09$[/tex].
- Team A has a mean of [tex]$59.32$[/tex] seconds.
- Team B has a mean of [tex]$59.10$[/tex] seconds and a mean absolute deviation (MAD) of [tex]$2.4$[/tex] seconds.
Follow these steps to solve the problem:
1. Compute the difference between the means of Team A and Team B:
[tex]$$
\text{Difference} = 59.32 - 59.10 = 0.22 \text{ seconds}.
$$[/tex]
2. Find the ratio of the difference in means to the mean absolute deviation of Team B:
[tex]$$
\text{Ratio} = \frac{0.22}{2.4}.
$$[/tex]
3. Divide to obtain the ratio:
[tex]$$
\frac{0.22}{2.4} \approx 0.09167.
$$[/tex]
4. Rounding to the nearest hundredth gives approximately [tex]$0.09$[/tex].
Thus, the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B is [tex]$0.09$[/tex].