A factorial experiment was designed to test for any significant differences in t

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 language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours Language French 14 18 17 19 Spanish German System 1 15 17 23 System 2 9 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05 a. Complete the following ANOVA table (to 2 decimals, if necessary) Source of Variation Sum of Squares Degrees of Freedom Mean Square F Factor A FactorB Interaction Error Total

Explanation / Answer

applying two way ANOVA on above table:

Source of Variation SS df MS F factor A 16.33 1.00 16.33 1.88 factor B 204.67 2.00 102.33 11.81 Interaction 40.67 2.00 20.33 2.35 Within 52.00 6.00 8.67 Total 313.67 11.00

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