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 suf?cient evidence to indicate that there is a difference in the mean time to relief for the two populations?
|
Brand A:
|
47
|
51
|
45
|
53
|
41
|
55
|
50
|
46
|
45
|
51
|
53
|
50
|
48
|
|
Brand B:
|
44
|
48
|
42
|
45
|
44
|
42
|
49
|
46
|
45
|
48
|
39
|
49
|
|
(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).