3. Fifteen trainees in a technical program are randomly assigned to three different types of instructional approaches, all of which are concerned with developing a specified level of skill in computer-assisted design. The achievement test scores at the conclusion of the instructional unit are reported in Table along with the mean performance score associated with each instructional approach. Use the analysis of variance procedure to test the null hypothesis that the three-sample means were obtained from the same population, using the 5 percent level of significance for the test.
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Step-by-step explanation:
Fifteen trainees in a technical program are randomly assigned to three different types of instructional approaches, all of which are concerned with developing a specified level of skill in computer-assisted design. The achievement test scores at the conclusion of the instructional unit are reported in the table below, along with the mean performance score associated with each instructional approach (high scores are better than low scores). Use the analysis of variance procedure to test the null hypothesis that the three sample means were obtained from the same population, using the 5 percent level of significance for the test.
Instructional
method
Test
scores
Total
scores
Mean test
scores
A1
86
79
81
70
84
400
80
A2
90
76
88
82
89
425
85
A3
82
68
73
71
81
375
75
Best Answer
n = 5 replications a = 3 treatment alpha,a = 0.05 overall mean u=(80+85+75)/3 = 80 SS treatment = 5 * [(80-80)^2 + (85-80)^2 + (75-80)^2] SS
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