In: Statistics and Probability
Brad Pitt conducts a study comparing average numbers of people who are eaten by zombies. Do zombies prefer healthy people, people with an autoimmune disease, or people with cancer? He (carefully) observes several roving bands of zombies and collects the following data:
Healthy |
Autoimmune |
Cancer |
|
Number of People Eaten |
59 |
22 |
25 |
48 |
23 |
30 |
|
61 |
19 |
29 |
Complete the ANOVA Table below (please use the back of this page
for your manual calculations – SHOW YOUR WORK!!),
and below the ANOVA Table, write your conclusion and
interpretation of the results of your ANOVA test.
ANOVA Table:
Source of Variation |
SS |
df |
MS |
F statistic |
Between Samples |
||||
Within Samples |
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Total |
(leave blank) |
Critical F (Fc):
Conclusion & Interpretation:
Applying ANOVA:
for 0.05 level and (2,6) degree of freedom , critical F =5.143
Conclusion and interpretation: as test statistic 50.475 is higher than critical value, we reject Ho.
There is sufficient evidence at 0.05 level to conclude that there is a preference by the status of health in Zombies.