The matched-pairs t-test is not an appropriate way to analyze data consisting of measurements of annual income for each twin for 100 randomly selected pairs of twins (Option B).
Here's why:
1. The matched-pairs t-test is typically used when each observation in one sample can be paired or matched with an observation in the other sample. In this case, the income data for each twin in a pair of twins are not independent of each other because they share genetic and environmental factors. Therefore, they are not considered independent pairs for the purpose of a matched-pairs t-test.
2. Using a matched-pairs t-test in this scenario would not account for the lack of independence between the income measurements of twins, potentially leading to incorrect conclusions about the significance of any differences observed.
In summary, the matched-pairs t-test is not suitable for analyzing income data from pairs of twins due to the lack of independence between the measurements within each pair.
