A social psychologist is interested in how optimism is relatedto life satisfaction. A sample of individuals categorized asoptimistic were asked about past, present, and projected futuresatisfaction with their lives. Higher scores on the lifesatisfaction measure indicate more satisfaction. Below are thedata. What can the psychologist conclude with ? = 0.01?

past	present	future
22 24 27 26 28	27 28 29 30 30	24 27 25 28 29

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-wayANOVA

b) Compute the appropriate test statistic(s) tomake a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) andindicate magnitude(s).
?² =  ;  ---Select--- na trivialeffect small effect medium effect large effect

d) Make an interpretation based on theresults.

At least one of the temporal means is different on lifesatisfaction.None of the temporal means is different on lifesatisfaction.    

e) Conduct Tukey's Post Hoc Test for the followingcomparisons:
1 vs. 3: difference =  ;significant:  ---Select--- Yes No
2 vs. 3: difference =  ;significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for thefollowing comparisons:
2 vs. 3: test statistic =  ;significant:  ---Select--- Yes No
1 vs. 3: test statistic =  ;significant:  ---Select--- Yes No