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. a. Identify the response variable for this experiment. __________________________________(2)

b. What is the experimental unit? __________________________________(2)

Below is the ANOVA table for this analysis.

Source df SS MS F P-value

error 2 28.222 114.111 11.908 .0003

treatments 24 28.444 1.185

total 26 56.666

c. Conduct the appropriate hypothesis test at the 5% significance level. (6 points)

Ho:_______________________________________________

Ha:_______________________________________________ _________________________________________________

Conclusion:_______________________________________ _________________________________________________ _________________________________________________ _________________________________________________

Answer 1

(a)

the response variable for this experiment : Pain for migraine headache sufferers.

(b)

the experimental unit: 27 volunteers selected for the experimentation

(c)

(i)

H0: Null Hypothesis: (There is no significant difference between mean pain of three formulations of a pain relief medicine for migraine headache sufferers. )

(ii)

Ha: Alternative Hypothesis: (There is asignificant difference between mean pain of three formulations of a pain relief medicine for migraine headache sufferers. ) (Claim)

(iii)

Since P value = 0.0003 is less than = 0.05, the difference is significant. Reject null hypothesis.

Conclusion:

The data support theclaim that there is asignificant difference between mean pain of three formulations of a pain relief medicine for migraine headache sufferers.