In an experiment to assess the effect of the angle of pull on the force required to cause separation in electrical connectors, four different angles (factor A) were used connectors (factor B) was pulled once at each angle. The data appears in the accompanying table. A Ho: B₁ = B₂ = ³3 =B4=B5 = 0 H₂: no B₁ = 0 Ho: α₁ = α₂ = α3 = α4 = 0 H₂: no α = 0 0° 2° 4° 6° O Ho: α₁ = α₂ = α3 = α4 = 0 H₂: at least one a, # 0 Source A B Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses. Ho: B₁ = B₂ = B3 =B4 =B5 = 0 H₂: at least one ß, #0 Error Total 3 4 1 45.2 44.3 42.5 43.9 Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST= 397.02, SSA = 54.44, and SSB = 250.80). (Round your answers to two decimal places.) F0.01 12 19 df ✓ ✓ 2 42.2 44.5 42.5 45.9 B 3 SS 54.44 250.8 91.78 397.02 39.7 38.5 42.5 47.6 4 36.7 38.0 42.4 37.5 MS 5 45.8 47.5 48.7 56.3 18.1467 62.7 7.6483 2.3637 8.7519 f State the conclusion in the problem context. Reject Ho. The data suggests that there is an angle of pull effect. Fail to reject Ho. The data does not suggest that there is an angle of pull effect. ✓ x x x

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter2: Addition Of Common Fractions And Mixed Numbers
Section: Chapter Questions
Problem 15A
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In an experiment to assess the effect of the angle of pull on the force required to cause separation in electrical connectors, four different angles (factor A) were used, and each of a sample of five
connectors (factor B) was pulled once at each angle. The data appears in the accompanying table.
A
0°
2⁰
4°
6°
Ho: B₁ = B₂ = B3 = ß4 = ß5 = 0
H₂: no B₁ = 0
- H₁: α₁ = α₂ = α3 = α4 = 0
Ha: no a, = 0
O Ho: α₁ = α₂ = α3 = α4 = 0
H₂: at least one a, # 0
Source
A
B
Error
Total
Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses.
Ho: B₁ = B₂ =B3 = P4 = ß5 = 0
H₂: at least one , * 0
3
4
1
45.2
44.3
42.5
43.9
Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST=397.02, SSA = 54.44, and SSB = 250.80). (Round your answers to two decimal places.)
F0.01
df
✓
✓
✓
12
19 ✓
2
42.2
44.5
42.5
45.9
SS
54.44
250.8
91.78
397.02
B
3
✓
39.7
38.5
42.5
47.6
✓
4
36.7
38.0
42.4
37.5
MS
5
45.8
47.5
48.7
56.3
18.1467 ✓
✓
✓
62.7
7.6483
f
2.3637 ✓
8.7519
X
State the conclusion in the problem context.
O Reject Ho. The data suggests that there is an angle of pull effect.
O Fail to reject Ho. The data does not suggest that there is an angle of pull effect.
x
X
Transcribed Image Text:In an experiment to assess the effect of the angle of pull on the force required to cause separation in electrical connectors, four different angles (factor A) were used, and each of a sample of five connectors (factor B) was pulled once at each angle. The data appears in the accompanying table. A 0° 2⁰ 4° 6° Ho: B₁ = B₂ = B3 = ß4 = ß5 = 0 H₂: no B₁ = 0 - H₁: α₁ = α₂ = α3 = α4 = 0 Ha: no a, = 0 O Ho: α₁ = α₂ = α3 = α4 = 0 H₂: at least one a, # 0 Source A B Error Total Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses. Ho: B₁ = B₂ =B3 = P4 = ß5 = 0 H₂: at least one , * 0 3 4 1 45.2 44.3 42.5 43.9 Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST=397.02, SSA = 54.44, and SSB = 250.80). (Round your answers to two decimal places.) F0.01 df ✓ ✓ ✓ 12 19 ✓ 2 42.2 44.5 42.5 45.9 SS 54.44 250.8 91.78 397.02 B 3 ✓ 39.7 38.5 42.5 47.6 ✓ 4 36.7 38.0 42.4 37.5 MS 5 45.8 47.5 48.7 56.3 18.1467 ✓ ✓ ✓ 62.7 7.6483 f 2.3637 ✓ 8.7519 X State the conclusion in the problem context. O Reject Ho. The data suggests that there is an angle of pull effect. O Fail to reject Ho. The data does not suggest that there is an angle of pull effect. x X
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