Question

n 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 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 Age Group Youth (under 21) 6.4 5.6 6.9 6.0 6.5 4.5 5.5 Adult (21 to 39) Middle-Age (40 to 61) Senior (82 and over) 5.1 4.8 3.2 5.1 4.0 4.1 (a-1) Which type of ANOVA model should be used? One factor completely randomized Two factor with replication Two factor without replication (a-2) Choose the correct row-effect hypotheses Age group means are the same Age group means differ Hy: Not all the A, are equal to zero Hy: All the Ay are equal to zero Age group means are the same Age group means differ (a-3) Choose the correct column-effect hypotheses e Surface type means are the same 仁Surface type means drer 仁Surface type means are to same e-Surface type means differ HI Not all tho Bk are equal to zero H: All the By are less than zero O a (b) Fil in the missing data (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.) MacBook Pro 2 3 4 5 6

Answer 1

n Mean SD
Shiny 4 4.975 1.475

Satin 4   5.200 0.983  
Pebbled 4 6.250 0.569  

Pattern   4 4.875 0.685  

n Mean SD
Youth 4 5.825 1.014

Adult 4    5.700 0.816
Middle-Age 4   4.450 1.425  

Senior 4 4.875 0.685  

ANOVA TABLE

Source DF    SS    MS F-Value P-Value

AgeGroup 3 4.625 1.5417 1.93 0.195

Texture 3 4.785   1.5950 2.00 0.185
Error 9 7.180    0.7978
Total 15 16.590