Question

x le course A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language tranlations with two computericed language traniators Because the type of language translated was also consideered a signficant factor, tranlations were made with both systems for three dfferent languages: Spanish, French, and German Uhe the fullowing data for transation time in hours Languages Spanish French Germans System 1 11 12 15 12 16 System 2 13 18 11 15 24 Test for any significant differences due to language translator system (Factor A). tvpe of language actor 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 p-value Factor A Factor B Interaction Erron 133 14.78 Total b. The p-value for Factor A is Select What is your conclusion with respect to Factor AM Select c. The p-value for Factor B is Slest What is your conclusion with respect to Factor Bh Select d. The pvalue for the interaction of factors A and B is Select 6%PM

Answer 1

Source of Variation	SS	df	MS	F	P-value
factor A	16.33	1	16.33	1.88	0.2189
factor B	98.00	2	49.00	5.65	0.0417
Interaction	64.67	2	32.33	3.73	0.0885
Within	52.00	6	8.67
Total	231.00	11

b)

p value for factor A : p value >0.10

factor A is not significant

c)

p value for factor B : 0.025 < p value <0.05

factor B is significant

d)

p value for interaction : 0.05 < p value <0.10

interaction is not significant