The following data were obtained from an independent-measures study comparing the trainees’ test scores from four different training sections. a) Complete the table above and calculate the F-value by using the Source Table. b) Are there any significant differences in trainees’ test scores between the four training sections? Prove your answer by using a one-tailed test with a 0.05 level of significance.

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The following data were obtained from an independent-measures study comparing the
trainees’ test scores from four different training sections.

a) Complete the table above and calculate the F-value by using the Source Table.

b) Are there any significant differences in trainees’ test scores between the four
training sections? Prove your answer by using a one-tailed test with a 0.05 level of
significance.

Section (X-M)² Section (X-M)² Section (X-M)² Section (X-M)²
1
2
3
4
15
13
14
12
14
15
15
15
13
16
16
11
17
12
12
M = 15
M = 14
M = 13
T = 75
T = 70
T = 65
SS₂ =
SS3 =
SS4=
10
13
17
16
14
M = 14
T = 70
SS₁ =
16
1
9
4
0
0
9
0
1
4
1
0
1
4
4
1
4
0
4
1
N = 20
G = 280
ΣΧ = 3994
Transcribed Image Text:Section (X-M)² Section (X-M)² Section (X-M)² Section (X-M)² 1 2 3 4 15 13 14 12 14 15 15 15 13 16 16 11 17 12 12 M = 15 M = 14 M = 13 T = 75 T = 70 T = 65 SS₂ = SS3 = SS4= 10 13 17 16 14 M = 14 T = 70 SS₁ = 16 1 9 4 0 0 9 0 1 4 1 0 1 4 4 1 4 0 4 1 N = 20 G = 280 ΣΧ = 3994
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