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 12 15 11 16 19 System 2 5 16 18 18 24 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = 0.05. 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 F p-value Factor A Factor B Interaction Error Total

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
12
15
11
16
19
System 2
16
18
18
24
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = 0.05.
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
F
p-value
Factor A
Factor B
Interaction
Error
Total
00
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 7 12 15 11 16 19 System 2 16 18 18 24 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = 0.05. 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 F p-value Factor A Factor B Interaction Error Total 00
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