Question: 43
(Choose 1 answer)
(See picture)
A. 25.06
B. 12.50
C. 903.72
D. 289.50
E. None of the other choices is correct
The marketing manager of a company producing a new cereal aimed for children wants to
examine the effect of the color and shape of the box's logo on the approval rating of the cereal.
He combined 4 colors and 3 shapes to produce a total of 12 designs. Each logo was presented to
2 different groups (a total of 24 groups) and the approval rating for each was recorded and is
shown below. The manager analyzed these data using the α = 0.05 level of significance for all
inferences.
SHAPES
Circle
Red
54
44
Square
34
36
Diamond
46
COLORS
EITTI
Green
Blue
67
36
Yellow
45
61
44
41
56
36
21
58
30
25
60
34
31
48
60
38
33
Analysis of Variance
SS
Shapes 2
Source df
Colors 3 2711.17 903.72 72.30
579.00 289.50 23.16
MS
F
P
0.000
0.000
Interaction 6
150.33 25.06 2.00
0.144
Error 12
Total 23
150.00 12.50
3590.50
The mean square for the interaction of color and shape is
