A company claims that its medicine, brand A, provides faster relief from pain than another company's medicine, brand B. A random sample from each brand gave the following times (in minutes) for relief. Do the data present sufficient evidence to indicate that there is a difference in the mean time to relief for the two populations?

(a) Use the ANOVA approach to test the appropriate hypotheses. Use α = 0.01.
(b) What assumptions are necessary for the conclusion in part (a)?
(c) Test the appropriate hypothesis by using the two-sample t-test for comparing population means. Compare the value of the t-statistic to the value of the F-statistic calculated in part (a)

Transcribed Image Text:

Brand A47 5145 53 41 55 50 46 4551 53 50 48 Brand B: 44 48 42 45 44 42 49 46 45 48 39 49