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 10 14 16 18 Spanish German System 1 15 18 19 25 System 2 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use ? = a. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places Source of Variation Sum of Squares Degrees of Freedom Factor A Factor B Mean Square p-value 162 2 81 9.35 0140 8.33 8.33 96 3650 Interaction 88.67 2 44.33 5.12 0510 Error 52.00 6 8.67 Total 311.00

Explanation / Answer

(you need to put factor A values in factor B and vice versa)

applyinng two way ANOVA on above data:

Source of Variation SS df MS F P-value factor A 8.33 1 8.33 0.96 0.3650 factor B 162 2 81 9.35 0.0143 Interaction 88.67 2 44.33 5.12 0.0504 error 52 6 8.67 Total 311 11

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