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. 0° 20 4° 6° Ho: B1 B₂=B3 =B4=ßs=0 Ha: no B, = 0 0 Ho: a, = az = az = a4 = 0 Minoa, = 0 ⒸH₁: α₁ = α₂ = α3 = α4 = 0 H: at least one a, # 0 Source A B Error Total 1 45.2 44.3 42.5 43.9 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=ßs=0 H: at least one 8, +0 df 2 42.2 44.5 42.5 45.9 SS B 3 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 39.7 38.5 42.5 47.6 MS 4 36.7 38.0 42.4 37.5 f 5 45.8 47.5 48.7 56.3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 99E
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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 = ß3 =B4 = ß5 = 0
H₂: no B₁ = 0
Source
ⒸH₂: α₁ = α₂ = x3 = α4 = 0
H₂: no α₁ = 0
0 Ho: a1 = 02 = az = 04 = 0
H: at least one a, # 0
A
B
Error
Total
1
45.2
44.3
42.5
43.9
Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses.
Ho: P₁ = B₂ = B3 =B4 = ß5 = 0
H₂: at least one ß, * 0
df
2
42.2
44.5
42.5
45.9
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
SS
B
3
39.7
38.5
42.5
47.6
MS
4
36.7
38.0
42.4
37.5
f
5
45.8
47.5
48.7
56.3
State the conclusion in the problem context.
Reject H. The data suggests that there is an angle of pull effect.
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 = ß3 =B4 = ß5 = 0 H₂: no B₁ = 0 Source ⒸH₂: α₁ = α₂ = x3 = α4 = 0 H₂: no α₁ = 0 0 Ho: a1 = 02 = az = 04 = 0 H: at least one a, # 0 A B Error Total 1 45.2 44.3 42.5 43.9 Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses. Ho: P₁ = B₂ = B3 =B4 = ß5 = 0 H₂: at least one ß, * 0 df 2 42.2 44.5 42.5 45.9 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 SS B 3 39.7 38.5 42.5 47.6 MS 4 36.7 38.0 42.4 37.5 f 5 45.8 47.5 48.7 56.3 State the conclusion in the problem context. Reject H. The data suggests that there is an angle of pull effect.
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