Question

eBook A factorial experiment was designed to test for any significant differences in the time neede 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. lorm English to foreign language translations Language Spanish French German 15 System 1 9 14 19 13 18 18 System 2 6 18 24 10 20 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a 05 Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. F Pvalue Source of Variation Sum of Squares Degrees of Freedom Mean Square

Answer 1

applying ANOVA on above data:

Source of Variation	SS	df	MS	F	P-value
factor A	5.33	1	5.33	0.62	0.4626
factor B	208.67	2	104.33	12.04	0.0079
Interaction	28.67	2	14.33	1.65	0.2679
Within	52.00	6	8.67
Total	294.67	11

p value for factor A : p value >0.10

factor A is not significant

p value for factor B : p value >0.01

factor B is significant

p value for interaction : p value >0.10

interaction is not significant