In a market research study, members of a consumer test panel are asked to rate t

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

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.)

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?

Explanation / Answer

We will use MINITAB software to solve this problem

Mean   stdev
Youth (Under 21) 5.775   0.97327
Adult (21 to 39) 5.725   0.34857
Middle-Age (40 to 61)   5.450   0.80452
Senior (62 and over) 4.650   0.86473
Shiny 5.150   1.06184
Satin 5.375   0.76608
Pebbled 6.125   0.42647
Pattern 4.950   0.76649

b)

Two-way ANOVA: Mean Ratings of Dashboard Surface Texture versus ROW`, COL

Source DF SS MS F P
ROW` 3 3.245 1.08167 1.46 0.291
COL 3 3.165 1.05500 1.42 0.300
Error 9 6.690 0.74333
Total 15 13.100

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