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	10	13
	13	14	17
System 2	5	16	16
	9	18	22

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use  = .05.

Complete the following ANOVA table (to 2 decimals, if necessary). Round p-value to four decimal places. PLEASE PAY ATTENTION TO DECIMAL PLACES. THANK YOU :)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Factor A
Factor B
Interaction
Error
Total

The p-value for Factor A is greater than .05

What is your conclusion with respect to Factor A?
Factor A is not significant

The p-value for Factor B is between .0125 and .025

What is your conclusion with respect to Factor B?
Factor B is significant

The p-value for the interaction of factors A and B is greater than .05

What is your conclusion with respect to the interaction of Factors A and B?
The interaction of factors A and B is not significant

Answer 1

SOURCE OF VARIATION	S.S	D.F	M.S	F	P VALUE
FACTOR A	8.33	1	8.33	0.96	0.3650
FACTOR B	134.00	2	67.00	7.73	0.0219
FACTOR A* FACTOR B	48.67	2	24.33	2.81	0.1377
ERROR	52.00	6	8.67
TOTAL	243.00	11

The p-value for Factor A is greater than .05
Conclusion with respect to Factor A
Factor A is Not significant

The p-value for Factor B is between .0125 and .025

Conclusion with respect to Factor B
Factor B is significant

The p-value for the interaction of factors A and B is greater than .05

Conclusion with respect to the interaction of Factors A and B: The interaction of factors A and B is not significant