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

4.1   

(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) 6.6        6.7        5.6        4.6          Adult (21 to 39) 5.3        5.8        6.0        5.6          Middle-Age (40 to 61) 4.2        5.5        6.0        5.5          Senior (62 and over) 3.7        4.0        6.1       

4.1   

Explanation / Answer

applying one way ANOVA on above data:

SUMMARY mean n std dev Shiny 4.95 4 1.2871 Satin 5.5 4 1.1225 Pebbled 5.925 4 0.2217 Pattern 4.95 4 0.7234   Youth (under 21) 5.875 4 0.9845   Adult (21 to 39) 5.675 4 0.2986   Middle-Age (40 to 61) 5.3 4 0.7703   Senior (62 and over) 4.475 4 1.0966

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