A dairy is in the market for a new container-lling machine and is considering two models, manufactured by company A and company B. Ruggedness, cost, and convenience are comparable in the two models, so the deciding factor is the variability of lls. The model that produces lls with the smaller variance is preferred. If you obtain samples of lls for each of the two models, an Ftest can be used to test for the equality of population variances. Wishing to demonstrate that the variability of lls is less for her model than for her competitor's, a sales representative for company A acquired a sample of 30 lls from her company's model and a sample of 10 fills from her competitor's model. The sample variances were 5A2 = 0.026 and s32 = 0.061, respectively. Does this result provide statistical support at the 0.05 level of significance for the sales representative's claim? State the null and alternative hypotheses. O HO: \"A2 = 032 versus Ha: 6A2 i 032 O HO: \"A2 i 0'32 versus Ha: 0A2 = 032 O HO: \"A2 0'32 0 H0: (IA = 032 versus Ha: 6A2 > 0'32 H0: \"A2 = 032 versus Ha: 6A2