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 9 13

15 13 17

System2 6 15 18

19 17 24

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use= .05.

1. Complete the following ANOVA table (to 2 decimals, if necessary). Roundp-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

1. Thep-value for Factor A isSelect

less than .005

between .005 and .0125

between .0125 and .025

between .025 and .05

greater than .05

1. What is your conclusion with respect to Factor A?Select

Factor A is significant

Factor A is not significant

1. Thep-value for Factor B isSelect

less than .005

between .005 and .0125

between .0125 and .025

between .025 and .05

greater than .05

1. What is your conclusion with respect to Factor B?Select

Factor B is significant

Factor B is not significant

1. Thep-value for the interaction of factors A and B isSelect

less than .005

between .005 and .0125

between .0125 and .025

between .025 and .05

greater than .05

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

The interaction of factors A and B is significant

The interaction of factors A and B is not significant