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	6	13	11
	10	17	15
System 2	4	16	15
	8	18	21

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 .05Item 21

What is your conclusion with respect to Factor A?

- Select your answer -Factor A is not significantFactor A is significantItem 22

The p-value for Factor B is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23

What is your conclusion with respect to Factor B?

- Select your answer -Factor B is not significantFactor B is significantItem 24

The p-value for the interaction of factors A and B is - Select your answer -less 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?

- Select your answer -The interaction of factors A and B is not significantThe interaction of factors A and B is significant

Answer 1

Anova: Two-Factor With Replication
SUMMARY	Spanish	French	German	Total
System 1
Count	2	2	2	6
Sum	16	30	26	72
Average	8	15	13	12
Variance	8	8	8	15.2
System 2
Count	2	2	2	6
Sum	12	34	36	82
Average	6	17	18	13.66667
Variance	8	2	18	41.06667
Total
Count	4	4	4
Sum	28	64	62
Average	7	16	15.5
Variance	6.666667	4.666667	17
ANOVA
Source of Variation	SS	df	MS	F	P-value
Factor A	8.33	1	8.33	0.96	0.3647
Factor B	204.67	2	102.33	11.81	0.0083
Interaction	24.67	2	12.33	1.42	0.3120
Error	52.00	6	8.67
Total	289.67	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 .005 and .0125

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.