Researchers conducted a study to evaluate which of the 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 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?

2)what is the null hypothesis?

3)what is the alternative hypothesis?

4)what critical value should be used to test the given hypothesis?

5)what is the value of the test statistic to test the given hypothesis?

6)what is the conclusion based on the given data?