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 Spanish French German System 1 9 14 13 13 18 17 System 2 4 14 20 8 16 26 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. 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 Mean Square F p-value Factor A Factor B II Interaction Jul Error Total

Answer 1

Sum of Squares Degrees of Freedom F P-value Mean Square 1.333 1 0.15 0.7084 1.33 228.67 2 114.333 13.19 0.0064 Source of Variation Factor A Factor B Interaction Error Total 88.67 2 5.12 0.0505 44.333 8.667 52.00 6 370.67 11 The p-value for Factor A is greater than 0.05 Conclusion: Factor A is not significant Thep-value for Factor B is between 0.005 and 0.0125 Conclusion: Factor B is significant The p-value for the interaction of Factor A and B is greater than 0.05 Conclusion: Interaction of Factor A and B is not significant