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 languag translations with two computerized language translators. Because th type of language translated was also considered a significant factor, translations were made with both systems for three different languag Spanish, French, and German. Use the following data for translation time in hours. Total Sum of Squares-234.67, Sum of Squares due to language translator system-1.33, Sum of Squares due to type of language-160.67, Sum of Squares due to interaction of system with language-20.67 Language Spanish French German 14 18 17 19 14 18 16 System 1 9 13 System 2 6 10 Answer the following four questions. Use 5% level of significance.

Explanation / Answer

from given data below is ANOVA table"

critical value of test statistic for language =5.143

as test statsitic for language is greater than critical value therefore we can conclude that differences due to language types are significant

source SS df MS F Fcrit system 1.33 1 1.33 0.15 5.987 language 160.67 2 80.34 9.27 5.143 interaction 20.67 2 10.34 1.19 5.143 error 52 6 8.67 total 234.67 11

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