Answer :
Sure! Let's work through the problem step-by-step:
1. Understand the Problem: We're looking to calculate the ratio of the difference in the means of two teams to the mean absolute deviation of Team B.
2. Identify the Given Data:
- The mean time for Team A is 59.32 seconds.
- The mean time for Team B is 59.1 seconds.
- The mean absolute deviation (MAD) for Team B is 1.5 seconds.
3. Calculate the Difference in Means:
- Subtract the mean of Team B from the mean of Team A:
[tex]\[
\text{Difference in Means} = \text{Mean of Team A} - \text{Mean of Team B} = 59.32 \, \text{s} - 59.1 \, \text{s} = 0.22 \, \text{s}
\][/tex]
4. Calculate the Ratio:
- Divide the difference in means by the mean absolute deviation of Team B:
[tex]\[
\text{Ratio} = \frac{\text{Difference in Means}}{\text{MAD of Team B}} = \frac{0.22}{1.5} \approx 0.15
\][/tex]
5. Conclusion:
- The ratio of the difference in the means of the two teams to the mean absolute deviation of Team B is approximately 0.15.
Therefore, the correct answer to the question is 0.15.
1. Understand the Problem: We're looking to calculate the ratio of the difference in the means of two teams to the mean absolute deviation of Team B.
2. Identify the Given Data:
- The mean time for Team A is 59.32 seconds.
- The mean time for Team B is 59.1 seconds.
- The mean absolute deviation (MAD) for Team B is 1.5 seconds.
3. Calculate the Difference in Means:
- Subtract the mean of Team B from the mean of Team A:
[tex]\[
\text{Difference in Means} = \text{Mean of Team A} - \text{Mean of Team B} = 59.32 \, \text{s} - 59.1 \, \text{s} = 0.22 \, \text{s}
\][/tex]
4. Calculate the Ratio:
- Divide the difference in means by the mean absolute deviation of Team B:
[tex]\[
\text{Ratio} = \frac{\text{Difference in Means}}{\text{MAD of Team B}} = \frac{0.22}{1.5} \approx 0.15
\][/tex]
5. Conclusion:
- The ratio of the difference in the means of the two teams to the mean absolute deviation of Team B is approximately 0.15.
Therefore, the correct answer to the question is 0.15.