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

question 79

Multiple Choice

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:
$\begin{array}{lll}&&&\text { Treatments }\\&&\mathrm{A} & \mathrm{B} & \mathrm{C} \\&\mathrm{~M}&\mathrm{X}=20 & \mathrm{X}=18 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5 \\\text { subjects } \\&\mathrm{~N}&\mathrm{X}=12 & \mathrm{X}=14 & \mathrm{X}=16 \\&&\mathrm{~N}=5 & \mathrm{~N}=5 & \mathrm{~N}=5\end{array}$
The following is the incomplete summary table of multifactor analysis of variance.Complete the table and answer the following questions.
$\begin{array}{ll}\text { Source of variation } & S S & \underline { \text { df }} & \underline { \text { MS}} & \underline { \text { F}}\\\hline \text { Between columns } & 0 \\\text { Between rows } & 120 \\\text { Interaction } & \\\hline \text { Between groups } & 200 \\\text { Within groups } & \\\hline \text { Tntal } & 454\end{array}$
-Refer to Exhibit 7-11.Assume that the F ratios for between rows and interaction are statistically significant, but the F ratio for between columns is not statistically significant.In accepting these results, is it possible that

• A) we make only Type I errors.
• B) we make only Type II errors.
• C) we make both Type I and Type II errors.
• D) we make neither Type I nor Type II errors.

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The analysis of the effect of a particular tax on the distribution of economic welfare among entities in the economy.

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The rate at which taxes are applied to the income of a person or a company.

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