Question

A pharmaceutical company tested three formulations of a pain relief medicine for migraine headache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of three drug formulations. The subjects were instructed to take the drug during their next migraine headache episode and to report their pain on a scale of 1 = no pain to 10 = extreme pain 30 minutes after taking the drug. Using ? = 0.05, can it be concluded that a significant difference exists in the average pain relief among the three formulations? Use the Excel ANOVA output shown here to answer questions 9 through 13. SUMMARY Groups Count Sum Average Variance Drug A 9 34 3.777777778 0.944444444 Drug B 9 53 5.888888889 1.361111111 Drug C 9 53 5.888888889 1.861111111 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 26.74074074 2 13.37037037 9.626666667 0.000851726 3.402826105 Within Groups 33.33333333 24 1.388888889 Total 60.07407407 26

          A pharmaceutical company tested three formulations of a pain relief medicine for migraine headache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of three drug formulations. The subjects were instructed to take the drug during their next migraine headache episode and to report their pain on a scale of 1 = no pain to 10 = extreme pain 30 minutes after taking the drug. Using ? = 0.05, can it be concluded that a significant difference exists in the average pain relief among the three formulations? Use the Excel ANOVA output shown here to answer questions 9 through 13.

SUMMARY
Groups Count Sum Average Variance
Drug A 9 34 3.777777778 0.944444444
Drug B 9 53 5.888888889 1.361111111
Drug C 9 53 5.888888889 1.861111111

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 26.74074074 2 13.37037037 9.626666667 0.000851726 3.402826105
Within Groups 33.33333333 24 1.388888889

Total 60.07407407 26

A pharmaceutical company tested three formulations of a pain relief medicine for migraine headache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of three drug formulations. The subjects were instructed to take the drug during their next migraine headache episode and to report their pain on a scale of 1 = no pain to 10 = extreme pain 30 minutes after taking the drug. Using ? = 0.05, can it be concluded that a significant difference exists in the average pain relief among the three formulations? Use the Excel ANOVA output shown here to answer questions 9 through 13.

SUMMARY
Groups Count Sum Average Variance
Drug A 9 34 3.777777778 0.944444444
Drug B 9 53 5.888888889 1.361111111
Drug C 9 53 5.888888889 1.861111111

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 26.74074074 2 13.37037037 9.626666667 0.000851726 3.402826105
Within Groups 33.33333333 24 1.388888889

Total 60.07407407 26

Added by Michael H.

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