A firm is trying to higher new management trainees. After the preliminary interview the potential trainees are ranked into four (4) groups: Poor, Fair, Good and Excellent. The firm then administers three computer-based aptitude tests to evaluate the Verbal Ability, Data Interpretation and Problem Solving of the prospective management trainee. The candidates are allowed to take each test twice and the higher grade is reported. The scores obtained are listed in the following table: Test Type Subject Type Verbal Ability 65 Data Problem Interpretation Solving 71 69 73 78 Poor Fair 75 75 70 65 78 82 76 75 68 69 72 68 78 74 79 Good Excellent 64 72 83 84 (d) Using R-Studio, derive the analysis of variance table. Ensure that you provide the code used and relevant output tables. (e) State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. () Using R-Studio, carry out relevant tests to determine if the assumptions of the ANOVA analysis were violated. Carefully discuss your findings quoting relevant statistics. (Provide the code used and relevant output tables ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A firm is trying to higher new management trainees. After the preliminary interview
the potential trainees are ranked into four (4) groups: Poor, Fair, Good and
Excellent. The firm then administers three computer-based aptitude tests to
evaluate the Verbal Ability, Data Interpretation and Problem Solving of the
prospective management trainee. The candidates are allowed to take each test twice
and the higher grade is reported. The scores obtained are listed in the following
table:
Test Type
Subject Type Verbal
Ability
Data
Problem
Interpretation Solving
Poor
65
68
69
71
75
75
Fair
Good
Excellent
74
64
83
79
72
84
72
69
73
78
70
65
68
78
82
78
76
75
(d) Using R-Studio, derive the analysis of variance table. Ensure that you provide
the code used and relevant output tables.
(e) State the null hypothesis(es), the decision rule for a = 0.05 and make the
decision for each hypothesis.
() Using R-Studio, carry out relevant tests to determine if the assumptions of
the ANOVA analysis were violated. Carefully discuss your findings quoting
relevant statistics. (Provide the code used and relevant output tables
Transcribed Image Text:A firm is trying to higher new management trainees. After the preliminary interview the potential trainees are ranked into four (4) groups: Poor, Fair, Good and Excellent. The firm then administers three computer-based aptitude tests to evaluate the Verbal Ability, Data Interpretation and Problem Solving of the prospective management trainee. The candidates are allowed to take each test twice and the higher grade is reported. The scores obtained are listed in the following table: Test Type Subject Type Verbal Ability Data Problem Interpretation Solving Poor 65 68 69 71 75 75 Fair Good Excellent 74 64 83 79 72 84 72 69 73 78 70 65 68 78 82 78 76 75 (d) Using R-Studio, derive the analysis of variance table. Ensure that you provide the code used and relevant output tables. (e) State the null hypothesis(es), the decision rule for a = 0.05 and make the decision for each hypothesis. () Using R-Studio, carry out relevant tests to determine if the assumptions of the ANOVA analysis were violated. Carefully discuss your findings quoting relevant statistics. (Provide the code used and relevant output tables
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