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Exhibit 7-11: in a 2 ×\times 3 Experimental Design Three Kinds of Treatments (A, B, and Kinds

Question 19

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Exhibit 7-11: In a 2 ×\times 3 experimental design three kinds of treatments (A, B, and C) were used with two groups of subjects (M and N) .The number of subjects and the mean of each group are as follows:
 Treatments ABC MX=20X=18X=16 N=5 N=5 N=5 subjects  NX=12X=14X=16 N=5 N=5 N=5\begin{array}{lll}&&&\text { Treatments }\\&&\mathrm{A} & \mathrm{B} & \mathrm{C} \\&\mathrm{~M}&\mathrm{X}=20 & \mathrm{X}=18 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5 \\\text { subjects } \\&\mathrm{~N}&\mathrm{X}=12 & \mathrm{X}=14 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5\end{array}
The following is the incomplete summary table of multifactor analysis of variance.Complete the table and answer the following questions.
 Source of variation SS df  MS F Between columns 0 Between rows 120 Interaction  Between groups 200 Within groups  Tntal 454\begin{array}{ll}\text { Source of variation } & S S & \underline { \text { df }} & \underline { \text { MS}} & \underline { \text { F}}\\\hline \text { Between columns } & 0 \\\text { Between rows } & 120 \\\text { Interaction } & \\\hline \text { Between groups } & 200 \\\text { Within groups } & \\\hline \text { Tntal } & 454\end{array}
-Refer to Exhibit 7-11.The value of the mean square between columns is


A) 0.
B) 10.57.
C) 40.
D) 120.

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