## 3. Fifteen trainees in a technical program are randomly assigned to three different types of instructional approaches, all of which are conc

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.

## Answers ( )

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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