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: ls mean rating affected by age group and/or by surface type? Mean Ratings of Dashboard Surface Texture Age Group Shiny Satin Pebbled Pattern Youth (under 21) 6.8 6.4 5.6 4.5 Adult (21 to 39) 5.1 6.9 Middle-Age (40 to 61) 4.8 5.1 6.0 5.4 Senior (62 and over) 3.2 4.0 6.5 4.1 Click here for the Excel Data File (a-1) Which type of ANOVA model should be used? One factor completely randomized O Two factor with replication Two factor without replication (a-2) Choose the correct row-effect hypotheses. a. 0- A1 A2 E A3 0 Age group means are the same H1: Not all the Ai are equal to zero Age group means differ b. Ho: A1 A2 A3 0 Age group means are the same H1: All the Ai are equal to zero Age group means differ

Explanation / Answer

a-1) Two factor without replication

a-2) a

c) The texture is not significantly affected by age group or by surface type

a-3) a

b) Please check the order of the answer as it might be different.

Shiny Stain Pebbled Pattern Youth 6.8 6.4 5.6 4.5 Adult 5.1 5.3 6.9 5.5 Middle Age 4.8 5.1 6 5.4 Senior 3.2 4 6.5 4.1

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