While Reviewing Staffing Plans for a New Pilot Plant,Colin Chenaux,VP $\alpha$

While reviewing staffing plans for a new pilot plant,Colin Chenaux,VP of Operations at Clovis Chemicals,Inc.,designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian,and participatory for supervisor's style,and (2) technical manuals,training films,and multimedia for training method. Three qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin's data produced the following ANOVA table.
Using $\alpha$ = .05,the appropriate decision for "supervisor's style" effects is _____________.

A) reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
B) do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂ = $\mu$ ₃
C) reject the null hypothesis $\mu$ ₁ = $\mu$ ₂
D) do not reject the null hypothesis $\mu$ ₁ = $\mu$ ₂
E) do nothing