MAS202_-_Test3_-_FA_2024_2917.webp
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MAS202_-_Test3_-_FA_2024_2917.webp

Kizspy | Question: 88
(Choose 1 answer)
(See picture)
A. 25.06
Β. 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 a = 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
Shapes
2711.17
903.72
72.30
0.000
579.00
0.000
150.33
25.06 2.00
0.144
150.00
12.50
289.50
23.16
2
Interaction 6
Error 12
Total 23
3590.50
The mean square for the interaction of color and shape is

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