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 14 15 11 18 19 System 2 6 15 19 10 17 25 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use x=.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 The p-value for Factor A is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21 What is your conclusion with respect to Factor A? - Select your answer -Factor A is not significantFactor A is significantItem 22 The p-value for Factor B is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23 What is your conclusion with respect to Factor B? - Select your answer -Factor B is not significantFactor B is significantItem 24 The p-value for the interaction of factors A and B is - Select your answer -less 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 your answer -The interaction of factors A and B is not significantThe interaction of factors A and B is significantItem 26

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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	14	15
	11	18	19
System 2	6	15	19
	10	17	25

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

The p-value for Factor A is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 21

What is your conclusion with respect to Factor A?

- Select your answer -Factor A is not significantFactor A is significantItem 22

The p-value for Factor B is - Select your answer -less than .005between .005 and .0125between .0125 and .025between .025 and .05greater than .05Item 23

What is your conclusion with respect to Factor B?

- Select your answer -Factor B is not significantFactor B is significantItem 24

The p-value for the interaction of factors A and B is - Select your answer -less 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 your answer -The interaction of factors A and B is not significantThe interaction of factors A and B is significantItem 26

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