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	13	13
	13	17	17
System 2	7	18	15
	11	20	21

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.

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

Answer 1

Source	SS	df	MS	F	p-value
Factor 1	8.33	1	8.33	0.96	0.3647
Factor 2	122.00	2	61.00	7.04	0.0267
Interaction	20.67	2	10.33	1.19	0.3664
Error	52.00	6	8.67
Total	203.00	11

There are no significant differences due to the language translator system (Factor A).

There are no significant differences due to the type of language (Factor B).

There is no significant interaction.

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