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A Two-Way ANOVA Summary Table Is Shown Below The Critical Value for The

Question 66

Multiple Choice

A Two-Way ANOVA Summary Table is shown below.
 Source SS d.f.  MS  F  Factor A 13.9726.994.99 Factor B 3.6721.831.31 Interaction A × B 10.8142.701.93 Within (error)  50.40361.4 Total 78.84844\begin{array}{lrrcc}\text { Source } & {\mathrm{SS}} & \text { d.f. } & \text { MS } & \text { F } \\\text { Factor A } & 13.97 & 2 & 6.99 & 4.99 \\\text { Factor B } & 3.67 & 2 & 1.83 & 1.31 \\\text { Interaction A } \times \text { B } & 10.81 & 4 & 2.70 & 1.93 \\\text { Within (error) } & 50.40 & 36 & 1.4 & \\\text { Total } & 78.848 & 44 & &\end{array}

The critical value for the FF -test using α=0.05\alpha = 0.05 , d.f.N. =2= 2 , and d.f.D =36= 36 is 3.263.26 . Then,


A) only the null hypothesis concerning Factor A and the Interaction (A ×B) effect should be rejected.
B) only the null hypothesis concerning Factor A should be rejected.
C) only the null hypothesis concerning Factor B should be rejected.
D) all of the null hypotheses should be accepted.

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