A college dean is interested in the exam performance of studentsin a History course. After the final exam, students are randomlyselected from three different section of the History course. Whatcan be conclude with an α of 0.01? The data are below.

section 1	section 2	section 3
82 68 74 65 41 75 64 77 40 78 69	90 82 82 77 75 82 81 91 70 90 82	94 81 87 82 72 77 81 87 67 86 77

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).
η² =  ;  ---Select--- na trivialeffect small effect medium effect large effect

d) Make an interpretation based on theresults.

At least on section differs on the final exam.None of thesections differ on the final exam.    

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