In a market research study, members of a consumer test panel are asked to rate t
ID: 2909111 • Letter: I
Question
In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) of the texture of dashboard plastic trim in a mockup of a new fuel cell car. The manufacturer is testing four finish textures. Panelists are assigned randomly to evaluate each texture. The test results are shown below. Each cell shows the average rating by panelists who evaluated each texture. Research question: Is mean rating affected by age group and/or by surface type?
Mean Ratings of Dashboard Surface Texture
(b) Fill in the missing data. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)
Mean Ratings of Dashboard Surface Texture
Age Group Shiny Satin Pebbled Pattern Youth (under 21) 6.5 6.1 5.5 4.4 Adult (21 to 39) 5.3 5.9 6.5 5.7 Middle-Age (40 to 61) 4.6 5.1 6.8 5.2 Senior (62 and over) 3.4 4.7 6.2 4.6Explanation / Answer
SUMMARY
Count
Sum
Average
Variance
Youth(under 21)
4
22.5
5.625
0.835833
Adult
4
23.4
5.85
0.25
middle
4
21.7
5.425
0.909167
Senior
4
18.9
4.725
1.315833
Shiny
4
19.8
4.95
1.683333
Satin
4
21.8
5.45
0.436667
Pebbled
4
25
6.25
0.31
Pattern
4
19.9
4.975
0.349167
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Rows
2.836875
3
0.945625
1.547211
0.26859
3.862548
Columns
4.431875
3
1.477292
2.417112
0.133544
3.862548
Error
5.500625
9
0.611181
Total
12.76938
15
SUMMARY
Count
Sum
Average
Variance
Youth(under 21)
4
22.5
5.625
0.835833
Adult
4
23.4
5.85
0.25
middle
4
21.7
5.425
0.909167
Senior
4
18.9
4.725
1.315833
Shiny
4
19.8
4.95
1.683333
Satin
4
21.8
5.45
0.436667
Pebbled
4
25
6.25
0.31
Pattern
4
19.9
4.975
0.349167
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