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	4	12	19
	8	14	25

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.

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 Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21

What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem 22

The p-value for Factor B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23

What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem 24

The p-value for the interaction of factors A and B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 25

What is your conclusion with respect to the interaction of Factors A and B?

Answer 1

1. ANOVA Table:

i) The p-value for Factor A (system) is 0.708

Correct answer: greater than .05

Here P-value > alpha 0.05 so we conclude that there is no significance difference among the mean levels of System

Answer: Factor A is not significantI

ii) The p-value for Factor B is 0.004

Correct answer: less than .005

Here P-value < alpha 0.05 so we conclude that there is significance dfference among the mean levels of Factor 2 (Language)

Correct answer: Factor B is significant

iii) The p-value for the interaction of factors A and B is 0.156

Correct answer: greater than .05

Here P-value > alpha 0.05 so we conclude that there is no significance difference among the levels of interaction of Factor A and Factor B

Answer: Interaction of Factor A and Factor B is not significantI