A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were:

Can you conclude that the mean pain level is less with drug B?

a. State the null and alternate hypotheses.

b. Compute the test statistic.

c. State a conclusion. Use the α = 0.05 level of significance.

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Drug A Drug B 1 2 3 634 5 1 5 Subject 4 5 6 7 5 7 1 55 5 5 2 4 +2