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 (function) was pulled once at each angle. The data appears in the accompanying table.
1
2
3
4
5
0°
45.3
42.4
39.6
36.5
45.5
20
44.5
44.3
38.5
38.0
47.5
A
40°
42.7
42.5
42.6
42.5
48.7
6°
43.5
45.8
47.6
37.7
56.1
Does the data suggest that true average separation force is affected by the angle of pull? State the appropriate hypotheses.
$H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$
$H_1: \text{at least one } \alpha_i \neq 0$
$H_0: \alpha_1 = \alpha_2 = \alpha_3 = \alpha_4 = 0$
$H_1: \text{no } \alpha_i = 0$
$H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$
$H_1: \text{no } \beta_i = 0$
$H_0: \beta_1 = \beta_2 = \beta_3 = \beta_4 = \beta_5 = 0$
$H_1: \text{at least one } \beta_i \neq 0$
Test the hypotheses at level 0.01 by first constructing an ANOVA table (SST = 390.38, SSA = 53.00, and SSB = 243.94). (Round your answers to two decimal places.)
Source
df
SS
MS
A
B
Error
Total
F
$F_{0.01}$
