Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the F
Posted: Thu May 05, 2022 8:53 pm
Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the F ratio and test the hypothesis that the group means are equal. Source of Sum of Squares Degrees of Freedom Variation Between groups 1,176 637 1,813 3 13 Within groups Total 16 State the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂#... #HK = H₁ H₁ H₂ HK ... = OB. Ho: H₁ H₂ HK H₁ H₁ H₂ HK oc Hoi HH2 - HK H₁: H₁ H₁ for at least one pair μ₁,₁ O D. Ho: H₁ μ; for at least one pair μ₁.Mj H₁ H₁ H₂ HK Compute mean squares for between groups and within groups and compute the F ratio. Source of Sum of Degrees of Mean Variation Squares Freedom Squares F Ratio Between groups 1,176 3 Within groups 637 13 Total 1,813 16 (Type integers or decimals.) Determine the critical value, FK-1,n-Ka, at the 0.01 level of significance. FK-1.n-Kax=(Round to two decimal places as needed.) Test the hypothesis that the group means are equal at the 0.01 level of significance. Since the F ratio is than FK-1,n-K,a the null hypothesis. There is evidence to conclude that there is a difference in the group means.