Anova approach to test the appropriate hypotheses

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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 -statistic calculated in part (a).

Reference no: EM13966054

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