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A researcher notices that many products sold in the United States depict famous

ID: 3313004 • Letter: A

Question

A researcher notices that many products sold in the United States depict famous people or characters. To determine whether this actually influences how much children like these products, the researcher gave children a block of wood. On the top of the block of wood was a sticker of a superhero, a parent, a teacher, or no person at all (just a plain colored sticker). Children were allowed to handle each block of wood for 2 minutes and then were asked to rate how much they liked each block of wood on a pictorial scale. These types of scales are typically used with children because faces are familiar to them. Higher ratings indicated greater liking. Given the following data, test whether liking for the block of wood varied by the type of sticker at a .05 level of significance.

Type of Reinforcement

Superhero

Parent

Teacher

None

4

5

5

3

3

5

4

1

4

4

5

3

4

4

5

5

5

3

4

5

5

4

3

3

4

5

5

1

3

4

3

1

4

2

4

3

5

4

3

4

4

5

4

3

5

4

3

4

4

4

5

1

5

5

4

5


With regard to the SPSS exercise, answer the following questions:

Based on the output shown in SPSS, complete the following F table:

Sources of Variation

SS

df

MS

F Statistic

Sig.

Between groups

Error

Total

Type of Reinforcement

Superhero

Parent

Teacher

None

4

5

5

3

3

5

4

1

4

4

5

3

4

4

5

5

5

3

4

5

5

4

3

3

4

5

5

1

3

4

3

1

4

2

4

3

5

4

3

4

4

5

4

3

5

4

3

4

4

4

5

1

5

5

4

5

Explanation / Answer

Ans:

df(between)=4-1=3

df(error)=56-4=52

ANOVA table:

As,p-value<0.05,we reject null hypothesis.

There is sufficient evidence to conclude that liking for the block of wood varied by the type of sticker

Superhero Parent Teacher None 1 4 5 5 3 2 3 5 4 1 3 4 4 5 3 4 4 4 5 5 5 5 3 4 5 6 5 4 3 3 7 4 5 5 1 8 3 4 3 1 9 4 2 4 3 10 5 4 3 4 11 4 5 4 3 12 5 4 3 4 13 4 4 5 1 14 5 5 4 5 mean= 4.214 4.143 4.071 3 std dev= 0.699 0.864 0.829 1.519
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