What are the independent variables and their levels? What is the dependent variable?
(A) Independent variables are Gender, Marital Status
Dependent variable is Happiness score
State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses?
(B) Ho: There is no difference between Happiness scores for Gender and there is no difference between happiness scores for marital status. Also, there is no interaction between Gender and Marital status.
Ha: There is a significant difference between Happiness scores for Gender or Happiness scores for Marital status. There is significant interaction between Gender and Marital status
Graphic
What are the degrees of freedom for 1) gender, 2) marital status, 3) Interaction between gender and marital status, and 4) error or within variance?
(C) (A) 1 (b) 2 (c) 2 (d) 94
Calculate the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.
(D) (a) 68.15 (b) 63.685 (c) 20.95 (d) 9.20
Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
(E) (a) 7.408 (b) 6.922 (c) 2.277
Identify the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
(F) (a) 3.9423 (b) 3.0933 (c) 3.0933
If alpha is set at .05, what conclusions can you make?
(G) Conclusion: There is evidence of a significant difference between Happiness scores for Gender. There is evidence of a significant difference between Happiness scores for marital status. There is no sufficient evidence of an interaction between Gender and Marital status.
ANOVA Table:
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