A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of t
he boys. She randomly selects 10 girls from the class and then randomly selects 10 boys. She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10. She does the same thing for the boys. She pairs each girl with the boy having the same number. She then performs a paired Do you think that in this situation a paired is the most appropriate procedure?
A matched pair design is used when we have two different observation about a certain experiment for each subject such that there is a natural pairing between the two population.
In the scenario described above, we have 20 subjects of which 10 are boys and 10 are girls.
Matching boys and girls having similar numbers does not depict natural pairing and thus using a matched paired test would be inappropriate. The test to use for such experiment is the two population t test.
