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 11 10 15 15 14 19 System 2 9 15 18 13 17 24 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 F p-value Factor A 12 1 12 1.38 © 0.2838 x Factor B 104 2 52 6.00 Interaction 24 2 G 12 1.38 Error 52 09 8.67 Total 192 11

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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Missing p values

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
11
10
15
15
14
19
System 2
9
15
18
13
17
24
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
F
p-value
Factor A
12
1
12
1.38
©
0.2838
x
Factor B
104
2
52
6.00
Interaction
24
2 G
12
1.38
Error
52
09
8.67
Total
192
11
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 11 10 15 15 14 19 System 2 9 15 18 13 17 24 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 F p-value Factor A 12 1 12 1.38 © 0.2838 x Factor B 104 2 52 6.00 Interaction 24 2 G 12 1.38 Error 52 09 8.67 Total 192 11
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