Analgesics A pharmaceutical company tested three for-mulations of a pain relief medicine for migraine head-ache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of threedrug formulations. The subjects were instructed to takethe drug during their next migraine headache episode andto report their pain on a scale of 1 = no pain to 10 =extreme pain 30 minutes after taking the drug. a) State the null and alternative hypotheses, being care-ful to talk about Drug and Pain levels as well as parameters.b) Perform an ANOVA on these data. What can youconclude?c) Check the assumptions and conditions for an ANOVA.Do you have any concerns about the experimentaldesign or the analysis?d) (Optional) Perform a multiple comparisons test todetermine which drugs differ in terms of mean painlevel reported.Drug Pain Drug Pain Drug PainA 4 B 6 C 6A 5 B 8 C 7A 4 B 4 C 6A 3 B 5 C 6A 2 B 4 C 7A 4 B 6 C 5A 3 B 5 C 6A 4 B 8 C 5A 4 B 6 C 5

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Analgesics A pharmaceutical company tested three for-
mulations of a pain relief medicine for migraine head-
ache 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) State the null and alternative hypotheses, being care-
ful to talk about Drug and Pain levels as well as
parameters.
b) Perform an ANOVA on these data. What can you
conclude?
c) Check the assumptions and conditions for an ANOVA.
Do you have any concerns about the experimental
design or the analysis?
d) (Optional) Perform a multiple comparisons test to
determine which drugs differ in terms of mean pain
level reported.Drug Pain Drug Pain Drug Pain
A 4 B 6 C 6
A 5 B 8 C 7
A 4 B 4 C 6
A 3 B 5 C 6
A 2 B 4 C 7
A 4 B 6 C 5
A 3 B 5 C 6
A 4 B 8 C 5
A 4 B 6 C 5
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