Kizspy | Question: 32
(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
FLOWERFLOW.COM
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.
COLORS
SHAPES
Red
Green
Blue
Yellow
Circle
54
67
36
45
44
61
44
41
Square
34
56
36
21
36
58
30
25
Diamond
46
60
34
31
48
60
38
33
Analysis of Variance
Source df
SS
MS
F
P
Colors 3 2711.17
Shapes 2
Interaction 6
Error 12
903.72 72.30
0.000
Total 23
579.00 289.50 23.16
150.33 25.06 2.00
150.00 12.50
3590.50
0.000
0.144
The mean square for the interaction of color and shape is_
