(b) A study of the properties of metal plate-connected trusses used for roof support yielded the axial-stiffness index (kN/m) for plate lengths 0.10, 0.15, 0.20, 0.25, and 0.30 m as shown in Table Q2(b). Does variation in plate length have any effect on true average axial stiffness? State and test the relevant hypotheses using analysis of variance (ANOVA) with a = 0.01. Display your results in an ANOVA table.

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(b) A study of the properties of metal plate-connected trusses used for roof
support yielded the axial-stiffness index (kN/m) for plate lengths 0.10,
0.15, 0.20, 0.25, and 0.30 m as shown in Table Q2(b). Does variation in
plate length have any effect on true average axial stiffness? State and test
the relevant hypotheses using analysis of variance (ANOVA) with a =0.01.
Display your results in an ANOVA table.
Table Q2(b): Data of axial-stiffness index (kN/m) for metal plate-
connected trusses
Plate
Axial-stiffness index (kN/m)
length (m)
1
2
3
4
5
6
7
0.10
34.93
46.27
35.14
36.89
35.79
39.52
34.99
0.15
45.43
39.23
40.79
45.70
37.40
39.42
43.13
0.20
44.34
41.38
39.66
40.35
48.93
46.31
41.50
43.16
0.25
39.17
51.17
52.13
46.39
43.41
40.97
0.30
46.03
49.92
47.44
46.40
53.49
49.85
52.63
Transcribed Image Text:(b) A study of the properties of metal plate-connected trusses used for roof support yielded the axial-stiffness index (kN/m) for plate lengths 0.10, 0.15, 0.20, 0.25, and 0.30 m as shown in Table Q2(b). Does variation in plate length have any effect on true average axial stiffness? State and test the relevant hypotheses using analysis of variance (ANOVA) with a =0.01. Display your results in an ANOVA table. Table Q2(b): Data of axial-stiffness index (kN/m) for metal plate- connected trusses Plate Axial-stiffness index (kN/m) length (m) 1 2 3 4 5 6 7 0.10 34.93 46.27 35.14 36.89 35.79 39.52 34.99 0.15 45.43 39.23 40.79 45.70 37.40 39.42 43.13 0.20 44.34 41.38 39.66 40.35 48.93 46.31 41.50 43.16 0.25 39.17 51.17 52.13 46.39 43.41 40.97 0.30 46.03 49.92 47.44 46.40 53.49 49.85 52.63
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