You randomly select 9 fire-breathing dragons, and the number of knights and princesses eaten by each dragon is measured twice: once when the dragon has eaten Merlin's pills prior to a meal ("WITH PILLS"), and once when the dragon has not eaten these pills prior to a meal ("NO PILLS"). (Assume that appropriate counter-balancing is employed, and that all necessary assumptions for the appropriate hypothesis test have been met.)
The number of knights and princesses that each dragon ate in each condition is listed below:
|
DRAGON
|
|
WITH PILLS
|
|
NO PILLS
|
|
Trogdor
|
|
88
|
|
95
|
|
Smaug
|
|
41
|
|
44
|
|
Gojira
|
|
33.5
|
|
34
|
|
Gamera
|
|
63
|
|
68
|
|
Godzilla
|
|
87
|
|
90
|
|
Mekagojira
|
|
34
|
|
40
|
|
Fred
|
|
81
|
|
90
|
|
Tiamat
|
|
43
|
|
44
|
|
Dr. Lizardo
|
|
7
|
|
5
|
Conduct the appropriate t-test, at a = .05, to determine whether dragons eat fewerknights and princesses when they have consumed Merlin's diet pills prior to a meal.
a) Statistical Hypotheses
b) Decision Rule
c) Calculations
d) Decision
e) Interpretation