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	7	12	14
	11	16	18
System 2	9	12	18
	13	14	24

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

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		-value
Factor A
Factor B
Interaction
Error
Total

The p-value for Factor A is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05

Answer 1

For the given data using  Anova: Two-Factor With Replication in Excel we get output as

Source of Variation	SS	df	MS	F	P-value	F crit
Sample	12	1	12	1.384615	0.28388	5.987378
Columns	146	2	73	8.423077	0.018114	5.143253
Interaction	18	2	9	1.038462	0.409936	5.143253
Within	52	6	8.6666667
Total	228	11