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	6	11	10
	10	15	14
System2	5	18	14
	9	20	20

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

1. 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

   
   
2. The p-value forFactor A is
   1. less than .005
   2. between .005 and .0125
   3. between .0125 and .025
   4. between .025 and .05
   5. greater than .05

1. What is your conclusion with respect to Factor A?
   1. Factor A is significant
   2. Factor A is not significant
      
2. The p-value for Factor B is
   1. less than .005
   2. between .005 and .0125
   3. between .0125 and .025
   4. between .025 and .05
   5. greater than .05
      
      What is your conclusion with respect to Factor B?
      1. Factor B is significant
      2. Factor B is not significant
         
3. The p-value for the interaction of factors A and B is
   1. less than .005
   2. between .005 and .0125
   3. between .0125 and .025
   4. between .025 and .05
   5. greater than .05
      
      What is your conclusion with respect to the interaction of FactorsA and B?
      1. The interaction of factors A and B is significant
      2. The interaction of factors A and B is not significant