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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