Kizspy | Question: 28
(Choose 1 answer)
(See picture)
A. numerator f=2; denominator df=12
B. numerator df=2; denominator df=23
C. numerator df=12; denominator df=2
D. numerator df=23; denominator df=2
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 \alpha=0.05 level of significance for all inferences.
COLORS
SHAPES
Circle
Red
Green
Blue
Yellow
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
903.72
72.30
0.000
Shapes
2
579.00 150.33
289.50
23.16
0.000
Interaction 6
25.06 2.00
0.144
Error 12
150.00
12.50
Total 23
3590.50
What degrees of freedom should be used to determine the critical value of the F ratio against which to test for differences between shapes?
