A college dean is interested in the exam performance of studentsin a biology course. After the final exam, students are randomlyselected from three different section of the biology course. Whatcan be conclude with an α of 0.05? The data are below.
| section 1 | section 2 | section 3 |
|---|
74
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 =Â Â ; test statistic =Â Â
Decision:Â Â ---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.   Â
e) Conduct Tukey's Post Hoc Test for the followingcomparisons:
1 vs. 2: difference =Â Â ;significant:Â Â ---Select--- Yes No
2 vs. 3: difference =Â Â ;significant:Â Â ---Select--- Yes No
f) Conduct Scheffe's Post Hoc Test for thefollowing comparisons:
2 vs. 3: test statistic =Â Â ;significant:Â Â ---Select--- Yes No
1 vs. 2: test statistic =Â Â ;significant:Â Â ---Select--- Yes No
