Question

A researcher wanted to conduct a study to assess the influence of social exclusion on stress...

A researcher wanted to conduct a study to assess the influence of social exclusion on stress eating among African American women. In this study, participants played a computer-based simulated game of catch with 3 other participants in which the participants were either included or excluded and saw either African American or Caucasian faces. Specifically, the 20 participants were randomly assigned into 1 of the following 4 groups: Group 1 in which participants saw African American faces and were included, Group 2 in which participants saw Caucasian faces and were included, Group 3 in which participants saw African American faces and were excluded, and Group 4 in which participants saw Caucasian faces and were excluded. After playing the game for 5 minutes, participants were provided 130 grams of snack foods and were left alone for an additional 5 minutes. The data in the table below show the amount(s) of food (in grams) participants ate:

Group 1

Group 2

Group 3

Group 4

75

90

115

130

55

80

110

125

69

60

100

120

73

75

113

128

50

85

105

117

Total(s)

322

390

543

620

According to this data, is there a difference in the mean number of grams of food participants ate at a 5% level of significance?

1. Set up hypotheses and indicate level of significance.

H0:

H1:

α =

2. Indicate the appropriate test statistic.

3. Set up decision rule.

df1 = k – 1 = ________________________________________________________

df2 =N – k = ________________________________________________________

Reject H0 if F > _____________________________________________________

4. Compute the test statistic.  

            

Group 1

Group 2

Group 3

Group 4

n1 =

n2 =

n3 =

n4 =

1=

2=

3=

4=

Compute the overall mean: =

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