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 6 13 11 10 17 15 System 2 13 14 11 15 20 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Factor A 5.33 5.33 .66 0 .4400 Factor B 104.67 52.33 6.04 .0210 Interaction 12.67 6.33 .73 .5200 Error 52.00 8.67 Total 174.67 11

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.

  Language
  Spanish French German
System 1 6 13 11
  10 17 15
System 2 7 13 14
  11 15 20

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

Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places.

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
6
13
11
10
17
15
System 2
13
14
11
15
20
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05.
Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places.
Source of Variation Sum of Squares Degrees of Freedom Mean Square
p-value
Factor A
5.33
5.33
.66 0
.4400
Factor B
104.67
52.33
6.04
.0210
Interaction
12.67
6.33
.73
.5200
Error
52.00
8.67
Total
174.67
11
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Transcribed Image Text

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 6 13 11 10 17 15 System 2 13 14 11 15 20 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Factor A 5.33 5.33 .66 0 .4400 Factor B 104.67 52.33 6.04 .0210 Interaction 12.67 6.33 .73 .5200 Error 52.00 8.67 Total 174.67 11