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	11	13	14
	15	17	18
System 2	9	17	19
	13	19	25

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.

The p-value for Factor A is? What is your conclusion with respect to Factor A? The p-value for Factor B is What is your conclusion with respect to Factor B? The p-value for the interaction of factors A and B is What is your conclusion with respect to the interaction of Factors A and B?

Answer 1

excel: data-data analyis: 2 way ANOVA with replication

Source	SS	df	MS	F	p value
factor A	16.33	1	16.33	1.88	0.2189
factor B	100.67	2	50.33	5.81	0.0395
interaction	32.67	2	16.33	1.88	0.2317
error	52.00	6	8.67
total	201.67	11

p value for factor Ais greater than 0.10
factor A is not significant
p value for factor B is between 0.02 and 0.05
factor B is significant
p value for the interaction of is greater than 0.10
interaction of factor A and factor B is not significant