Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use  = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round p-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           The p-value for Factor A is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21 What is your conclusion with respect to Factor A? SelectFactor A is significant Factor A is not significant Item 22 The p-value for Factor B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23 What is your conclusion with respect to Factor B? SelectFactor B is significant Factor B is not significant Item 24 The p-value for the interaction of factors A and B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 25 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 Item 26

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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 7 8 15
  11 12 19
System 2 6 16 18
  10 18 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). Round p-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          


  2. The p-value for Factor A is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21

    What is your conclusion with respect to Factor A?
    SelectFactor A is significant Factor A is not significant Item 22

  3. The p-value for Factor B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23

    What is your conclusion with respect to Factor B?
    SelectFactor B is significant Factor B is not significant Item 24

  4. The p-value for the interaction of factors A and B is Selectless than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 25

    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 Item 26
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