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 t-test, a two-sample t-test, a paired Z-test, or a two sample Z-test would be more appropriate in this situation? If you think that a paired test is preferable, explain what would constitute a pair. A. A paired t-test is more appropriate since a natural pairing exists. A pair should consist of a person taking the test while listening to classical music and the same person taking the test without music.
B. A two sample t-test is more appropriate since a no natural pairing exists. It is too hard to select two people who are similar and pair them together.
C. A paired Z-test is appropriate because the before and after differences of the dexterity measurements are normally distributed. A pair should consist of a person taking the test while listening to classical music and the same person taking the test without music.
D. A two sample Z-test is more appropriate since a no natural pairing exists because the dexterity measurements are normally distributed.. It is too hard to select two people who are similar and pair them together.
E. It does not matter which test one uses. A two-sample t-test and a paired t-test always give similar results because both tests are t-tests.