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In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) ofthe
In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) ofthe texture of dashboard plastic trim in a mockup of a new fuel cell car. The manufacturer is testing four nish 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 Age Group Shiny Satin Pebbled Pattern Youth (under 21) 6.9 6.0 5.5 4.7 Adult (21 to 39) 5.1 5.5 6.6 5.3 MiddleAge (40 to 61) 4.5 5.2 6.3 5.4 Senior (62 and over) 3.7 4.8 6.9 4.4 Click here for the Excel Data File (a-1) Which type of ANOVA model should be used? '7 One factor completely randomized 7' Two factor with replication 0 Two factor without replication (a-2) Choose the correct roweffect hypotheses. a. Ho: A1 = A2 = A3 = 0 Age group means are the same H1: Not all the Aj are equal to zero c Age group means are the same b. H0: A1 at A2 at A3 a: O o: Age group means are the same H1: All the A]- are equal to zero c Age group means differ 0a (b) Fill in the missing data. (Round your SS values to 3 decimal places, Fvalues to 2 decimal places, and other answers to 4 decimal places.) Table of Means Mean Standard n Deviation 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
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