Afactorial 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 10 13
13 14 17
system 2 4 17 18
8 19 24
test for any significant differences due to language translator system (factor a), type of language (factor b), and interaction. use = .05.

a) complete the following anova table (to 2 decimals, if necessary).

source of variation sum of squares degrees of freedom mean square f
factor a
factor b
interaction
error
total
b) the p-value for factor a is

what is your conclusion with respect to factor a?

c) the p-value for factor b is