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 typ

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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) 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
Age Group Shiny Satin Pebbled Pattern
Youth (under 21) 6.4 6.5 5.0 4.7
Adult (21 to 39) 5.8 5.6 6.5 5.4
Middle-Age (40 to 61) 4.8 5.5 6.2 5.5
Senior (62 and over) 3.2 4.0 6.6 4.2
 

 

The ANOVA model is Two factor without replication

Row effect hypotheses- H0A1 = A2 = A3 = 0

H1: Not all the Aj are equal to zero

Column-effect hypotheses- H0B1 = B2 = B3 = 0

H1: Not all the Bk are equal to zero

Fill in the missing data. in the table of Means (Round your SS values to 3 decimal places, values to 2 decimal places, and other answers to 4 decimal places.) 

 

Table of Means
Mean
Std. Dev
Shiny
Satin
Pebbled
Pattem
Youth (Under 21)
Adult (21 to 39)
Middle-Age (40 to 61)
Senior (62 and Over)
Total
Transcribed Image Text:Table of Means Mean Std. Dev Shiny Satin Pebbled Pattem Youth (Under 21) Adult (21 to 39) Middle-Age (40 to 61) Senior (62 and Over) Total
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