Researchers conducted a study to evaluate which of two medications,...

Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more effective in treating headaches. Each patient was administered Drug A for one headache and Drug B for a different headache. The amount of time to pain relief was recorded in the table below. The sample standard deviation of the differences between the relief time of Drug A and the relief time of Drug B is 2.1213. Using a 0.05 significance level, you need to test the claim that the relief time for Drug A is different than the relief time for drug B.

Drug A Relief Time

20

40

30

45

19

27

32

26

Drug B Relief Time

18

36

30

46

15

22

29

25

1. What is the most appropriate statistical test for the given claim? (0.5 points)
2. Two-sample z-test
3. Wilcoxon rank-sum test
4. Two-sample (pooled variance) t-test
5. Two-sample (unpooled variance) t-test
6. Paired t-test