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	8	10	14
	12	14	18
System 2	8	13	20
	12	15	26

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

Answer 1

Source	SS	df	MS	F	p-value
Factor 1	27.00000	1	27.000000	3.12	.1280
Factor 2	188.66667	2	94.333333	10.88	.0101
Interaction	26.00000	2	13.000000	1.50	.2963
Error	52.00000	6	8.666667
Total	293.66667	11

There is no significant main effect due to the language translator system (Factor A).

There is a significant main effect due to the type of language (Factor B).

There is no significant interaction between the language translator system (Factor A) and the type of language (Factor B).