A clothing store wants to investigate customer preferences between four different types of clothes designs. Twenty customers were selected as the experimental units. Each customer was given one of four designs and was requested to give scores between 0 (dislike extremely) to 10 (like extremely). Five customers were randomly assigned to each of the four designs. The results are in the table below:

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A clothing store wants to investigate customer preferences between four different types of
clothes designs. Twenty customers were selected as the experimental units. Each customer
was given one of four designs and was requested to give scores between 0 (dislike
extremely) to 10 (like extremely). Five customers were randomly assigned to each of the
four designs. The results are in the table below:
Customer
Design
1
2
3
4
A
8
10
7
7
5
4
7
5
C
10
7
9
6
8
D
9
7
7
5
6
a) Identify the appropriate model and its assumptions.
b) Assume that all assumptions to perform ANOVA are satisfied. Test whether the four
clothes designs have different effect on customer scores. Use a = 0.05.
Transcribed Image Text:A clothing store wants to investigate customer preferences between four different types of clothes designs. Twenty customers were selected as the experimental units. Each customer was given one of four designs and was requested to give scores between 0 (dislike extremely) to 10 (like extremely). Five customers were randomly assigned to each of the four designs. The results are in the table below: Customer Design 1 2 3 4 A 8 10 7 7 5 4 7 5 C 10 7 9 6 8 D 9 7 7 5 6 a) Identify the appropriate model and its assumptions. b) Assume that all assumptions to perform ANOVA are satisfied. Test whether the four clothes designs have different effect on customer scores. Use a = 0.05.
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