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 7 6 6 5 5 4 3 Adult (21 to 39) 5 5 5 3 6 2 5 9 Middle Age (40 to 61) 4 5 5 1 6 7 5 5 Senior (62 and over) 3 9 4 5 6 1 4 1 (a 1) Which type of ANOVA model should be used multiple choice 1 Two factor, with replication Two factor, without replication One factor, completely randomized (a 2) Choose the correct row effect hypotheses a H 0 A 1 A 2 A 3 0 Age group means are the same H 1 Not all the A j are equal to zero Age group means differ b H 0 A 1 A 2 A 3 0 Age group means are the same H 1 All the A j are equal to zero Age group means differ multiple choice 2 a b (a 3) Choose the correct column effect hypotheses a H 0 B 1 B 2 B 3 0 Surface type means are the same H 1 Not all the B k are equal to zero Surface type means differ b H 0 B 1 B 2 B 3 0 Surface type means are the same H 1 Not all the B k are equal to zero Surface type means differ multiple choice 3 a b (b) Fill in the missing data (Round your SS valuesto 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 (c) Choose the correct statement multiple choice 4 The texture is significantly affected by age group and by surface type The texture is not significantly affected by age group or by surface type The texture is not significantly affected by surface type, but it is affected by age group The texture is not significantly affected by age group, but it is affected by surface type

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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

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)	6.7	6.6	5.5	4.3
Adult (21 to 39)	5.5	5.3	6.2	5.9
Middle-Age (40 to 61)	4.5	5.1	6.7	5.5
Senior (62 and over)	3.9	4.5	6.1	4.1

(a-1)Which type of ANOVA model should be used? multiple choice 1

Two factor, with replication
Two factor, without replication
One factor, completely randomized

(a-2)Choose the correct row-effect hypotheses.

a.	H₀:A₁=A₂=A₃= 0	Age group means are the same
	H₁: Not all theA_jare equal to zero	Age group means differ
b.	H₀:A₁A₂A₃ 0	Age group means are the same
	H₁: All theA_jare equal to zero	Age group means differ

multiple choice 2

(a-3)Choose the correct column-effect hypotheses.

a.	H₀:B₁=B₂=B₃= 0	Surface type means are the same
	H₁: Not all theB_kare equal to zero	Surface type means differ
b.	H₀:B₁B₂B₃ 0	Surface type means are the same
	H₁:Not all theB_kare equal to zero	Surface type means differ

multiple choice 3

(b)Fill in the missing data.(Round yourSSvaluesto 3 decimal places,Fvalues 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

(c)Choose the correct statement. multiple choice 4

The texture is significantly affected by age group and by surface type.
The texture is not significantly affected by age group or by surface type.
The texture is not significantly affected by surface type, but it is affected by age group.
The texture is not significantly affected by age group, but it is affected by surface type.