A factorial experiment was designed to test for any significant differences in t

Question

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

a. Complete the following ANOVA table (to 2 decimals, if necessary).

1.. The p-value for Factor A is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

2.What is your conclusion with respect to Factor A?

a.Factor A is significant

b.Factor A is not significant

3. The p-value for Factor B is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

4.What is your conclusion with respect to Factor B?

a.Factor B is significant

b.Factor B is not significant

5. The p-value for the interaction of factors A and B is

a. less than .01

b. between .01 and .025

c. between .025 and .05

d.between .05 and .10

e. greater than .10

6. what is your conclusion with respect to the interaction of Factor A and B?

a. the interaction of factor A and B is significant

b. the interaction of factor A and B is not significant

Language Spanish French German System 1 7 9 15 11 13 19 System 2 6 18 17 10 20 23

Explanation / Answer

1.. The p-value for Factor A is

d.between .05 and .10

2.What is your conclusion with respect to Factor A?

b.Factor A is not significant

3. The p-value for Factor B is

a. less than .01

4.What is your conclusion with respect to Factor B?

a.Factor B is significant

5. The p-value for the interaction of factors A and B is

e. greater than .10

6. what is your conclusion with respect to the interaction of Factor A and B?

b. the interaction of factor A and B is not significant

Source of Variation Sum of Squares Degree of Freedom Mean Square F p-value Facor A(system) 33.3 1 33.3 3.8 0.098 Factor B(Language) 206.0 2 103.0 11.9 0.008 Interaction 40.7 2 20.3 2.4 0.177 Error 52.0 6 8.7 Total 332.0 11

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