


Solution:
Mean Sum of squares between groups =
SS between groups/ 2 = 100/2= 50
Mean Sum of Squares within groups(Error) = SSE/42= 50/42= 1.1905
Variance Ratio F= MSS between groups/ MSE = 50/1.1905 = 41.999
Critical value: Tabulated F _{0. 05} for 2 and 42 d. f is 3.22
Since calculated F > tabulated F at 0.05 level of significance, Reject Null hypothesis.
Option a) is correct. Reject the null hypothesis. The calculated F is larger than the critical value.
Option c) F can be interpreted as the proportion of variance in the dependent variable that is accounted for by the independent variable.
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