A researcher is interested in investigating whether people perform better at dexterity tests while listening to classical music
or with no music. He designs a dexterity test which he intends to give to participants with and without classical music playing. Do you think that a paired , a two-sample , a paired Z-test, or a two sample Z-test would be more appropriate in this situation
In the scenario given above, the paired t test will be more appropriate simply because of the natural pairing which exists. Two different results can be obtained from each of the subjects, thus creating a natural pair. Since the same subject are exposed to both treatment, thus we have a test result obtained with classical music playing and another test result while classical music isn't playing both from each single subject. Hence, making it the more appropriate test for the situation described.
