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A college dean is interested in the quiz performance of students in a English course. After...

A college dean is interested in the quiz performance of students in a English course. After the final exam, students are randomly selected from three different sections of the English course. What can be conclude with an α of 0.01? The data are below.

section 1 section 2 section 3
84
68
74
65
41
82
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-way ANOVA

b) Obtain/compute the appropriate values to make a decision about H0.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η2 =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

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


e) Regardless of the H0 decision in b), conduct Tukey's post hoc test for the following comparisons:
2 vs. 3: difference =  ; significant:  ---Select--- Yes No
1 vs. 2: difference =  ; significant:  ---Select--- Yes No

f) Regardless of the H0 decision in b), conduct Scheffe's post hoc test for the following comparisons:
1 vs. 2: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

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