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?

a. Set up hypotheses and indicate level of significance

b. Indicate the appropriate test statistic

c. Set up decision rule

d. Compute the test statistic

e. Compute the overall mean and SSB

a) Null Hypothesis:Ho :μGroup1Group2Group3Group4

Alternate Hypothesis:Ha:Not all group means are equal

level of significance =0.05

b) appropriate test statistic is F(3,16)

c) Decision rule: Reject HO if test statsitic F>3.239

D)applying ANOVA on above data:

 Source of Variation SS df MS F Between Groups 11225.35 3 3741.78 46.039 Within Groups 1300.40 16 81.28 Total 12525.75 19

test statistic F =46.039

e)overall mean =468.75

SSB =11225.35

#### Earn Coins

Coins can be redeemed for fabulous gifts.