Question

a nursing student is studying how long it takes patients to receive relief from minor to moderate headache from two different pain relievers. He assigns subjects randomly and independently to two groups; one group receives pain reliever A; the other group receives pain reliever B, a new product on the market. Each subject reports the time (in minutes) to be relieved of the headache pain. Is there sufficient evidence to suggest, on average, the new pain reliever B has a faster recovery time?

product A: 19.9, 22, 19.4, 20.7, 20.4, 19.4, 18.5, 20.7, 21, 18.7, 20.6, 19.5

product B: 17.5, 18, 17, 18.2, 19.4, 17.8, 18.4, 17.4, 18.8, 19

Answer 1

P-value = 0.00003

Since P-value is less than significance level 0.05, we reject the null hypothesis.

Conclusion : There is sufficient evidence to suggest, on average, the new pain reliever B has a faster recovery time.