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

(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) 6.1        6.2        5.1        4.8          Adult (21 to 39) 5.2        5.1        6.9        5.5          Middle-Age (40 to 61) 4.4        5.6        6.9        5.6          Senior (62 and over) 3.0        4.2        6.3        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.)

   

Table of Means Mean n Std. Dev     Shiny                        Satin                        Pebbled                        Pattern                        Youth (Under 21)                        Adult (21 to 39)                        Middle-Age (40 to 61)                        Senior (62 and over)                        Total                    ANOVA Table   Source SS df MS F p-value   Rows (Age Group)                  Columns (Surface)                  Error            Total      

Explanation / Answer

SUMMARY Count Sum Average Std Dev Youth 4 22.2 5.55 0.704745817 Adult 4 22.7 5.675 0.83416625 Middle-Age 4 22.5 5.625 1.021028893 Senior 4 17.6 4.4 1.378404875 Shiny 4 18.7 4.675 1.31497782 Satin 4 21.1 5.275 0.846069343 Pebbled 4 25.2 6.3 0.848528137 Pattern 4 20 5 0.697614985 ANOVA Source of Variation SS df MS F P-value F crit Rows 4.4725 3 1.490833333 2.069803317 0.174622765 3.862548358 Columns 5.9225 3 1.974166667 2.740840725 0.105274891 3.862548358 Error 6.4825 9 0.720277778 Total 16.8775 15

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