Question

A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized laguage translators. Because the type of language translated was also considered asignificant factor, translations were made with both systems far three diferent languages: Spanish, French, and German. Use the follawing data for translatian time in hours Language French 12 16 13 15 Spanish German 13 17 14 20 System1 Systom 2 Test ror any significant differences due to language translator system (Factor A), type of language(Factor B), and interaction. Use α B. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places. .05. P-value Source af Variation Sum af Squares Degrees of Freedom Mean SquareF Factor A Factor B Error Tatal b. The o-value for Factor A is Select What is Select r conclusion with respect to Factor A? C. The ρ-value for Factor B is | Select What is Select r conclusion with respect to Factor B? d. The p-value for the interaction of factors A and B is | Select r conclusion with respect to the interaction of Factors A and B? What is Select

Answer 1

H₀: There is no significant difference due to language translator system(factor A) , type of language(factor B) and interaction.

H₁: There is significant difference due to language translator system(factor A) , type of language(factor B) and interaction.

a)

> model<-aov (timefactorA+factorB+factor A factor B,data-data) >summary (model) ry (model)ctor Df Sum Sq Mean Sq F value Pr (>F) factor A factor B factor A:factor B 1 24.50 24.50 3.178 0.11247 Residuals 1 3.00 3.00 0.389 0.55010 1 112.50 112.50 14.595 0.00509 8 61.67 7.71

Total                              11     201.67

b)

p value of Factor_A is 0.0.55010 > 0.05,do not reject H₀ at 5% level of significance. That there is no significant difference due to language translator system.

c)

p value of Factor_B is 0.00509 < 0.05,reject H₀ at 5% level of significance. That there is significant difference due to type of language.

d)

p value of interaction of factor A and B is 0.11247 > 0.05,do not reject H₀ at 5% level of significance. That there is no significant difference due to interaction.

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