A factorial experiment was designed to test for any significantdifferences in the time needed to perform English to foreignlanguage translations with two computerized language translators.Because the type of language translated was also considered asignificant factor, translations were made with both systems forthree different languages: Spanish, French, and German. Use thefollowing data for translation time in hours.
| Language |
| Spanish | French | German |
System 1 | 7 | 14 | 14 |
| 11 | 18 | 18 |
System2 | 9 | 14 | 19 |
| 13 | 16 | 25 |
Test for any significant differences due to language translatorsystem (Factor A), type of language (Factor B), and interaction.Use  = .05.
- Complete the following ANOVAtable (to 2 decimals, if necessary). Round p-value to fourdecimal places.
Source ofVariation | Sum ofSquares | Degrees ofFreedom | Mean Square | F | p-value |
Factor A | | | | | |
Factor B | | | | | |
Interaction | | | | | |
Error | | | | | |
Total | | | | | |
- The p-value forFactor A is Selectless than .005between .005 and .0125between .0125and .025between .025 and .05greater than .05Item 21
What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem22
- The p-value forFactor B is Selectless than .005between .005 and .0125between .0125and .025between .025 and .05greater than .05Item 23
What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem24
- The p-value for theinteraction of factors A and B is Selectless than .005between .005and .0125between .0125 and .025between .025 and .05greater than.05Item 25
What is your conclusion with respect to the interaction of FactorsA and B?
SelectThe interaction of factors A and B is significantTheinteraction of factors A and B is not significantItem 26