Question

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. 1 2 3 4 5 0° 45.2 42.2 39.5 36.8 45.5 2° 44.5 44.2 38.5 38.0 47.1 4° 42.6 42.8 42.9 42.3 48.9 6° 43.5 45.5 47.7 37.7 56.2 Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses. $H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$ $H_a: \text{not all } \alpha_i = 0$ $H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$ $H_a: \text{at least one } \alpha_i \ne 0$ $H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$ $H_a: \text{at least one } \beta_i \ne 0$ $H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$ $H_a: \text{not all } \beta_i = 0$ Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST = 387.87, SSA = 54.18, and SSB = 240.68). (Round your answers to two decimal places.) Source df SS MS F $F_{0.01}$ A 3 B 4 Error 12 Total 15 State the conclusion in the problem context. Fail to reject $H_0$. The data suggests that there is an angle of pull effect. Reject $H_0$. The data does not suggest that there is an angle of pull effect. Fail to reject $H_0$. The data does not suggest that there is an angle of pull effect. Reject $H_0$. The data suggests that there is an angle of pull effect. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Name: 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 57309
Uploaded: 2021-11-26T05:24:32-08:00
Duration: 8 min 7 s
Channel: Ameer Said
Description: 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 57309

          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.

1	2	3	4	5
0°	45.2	42.2	39.5	36.8	45.5
2°	44.5	44.2	38.5	38.0	47.1
4°	42.6	42.8	42.9	42.3	48.9
6°	43.5	45.5	47.7	37.7	56.2

Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses.
$H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$
$H_a: \text{not all } \alpha_i = 0$

$H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$
$H_a: \text{at least one } \alpha_i \ne 0$

$H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$
$H_a: \text{at least one } \beta_i \ne 0$

$H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$
$H_a: \text{not all } \beta_i = 0$

Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST = 387.87, SSA = 54.18, and SSB = 240.68). (Round your answers to two decimal places.)

Source	df	SS	MS	F	$F_{0.01}$
A	3	
B	4	
Error	12	
Total	15	

State the conclusion in the problem context.
Fail to reject $H_0$. The data suggests that there is an angle of pull effect.
Reject $H_0$. The data does not suggest that there is an angle of pull effect.
Fail to reject $H_0$. The data does not suggest that there is an angle of pull effect.
Reject $H_0$. The data suggests that there is an angle of pull effect.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

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 57309

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