A factorial experiment was designed to test for any significant differences in t
ID: 3242627 • Letter: A
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.
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.
Complete the following ANOVA table (to 2 decimals, if necessary).
The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18
What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem 19
The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20
What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem 21
The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22
What is your conclusion with respect to the interaction of Factors A and B?
SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significant
Explanation / Answer
Complete the following ANOVA table :
Analysis of Variance for Time
Source DF SS MS F P
System 1 12.000 12.000 1.38 0.284
Language 2 128.667 64.333 7.42 0.024
System*Language 2 18.000 9.000 1.04 0.410
Error 6 52.000 8.667
Total 11 210.667
The p-value for Factor A is greater than .10
What is your conclusion with respect to Factor A-Factor A is not significant
The p-value for Factor B is between .01 and .025
What is your conclusion with respect to Factor B?-Factor B is significant
The p-value for the interaction of factors A and B is greater than .10
What is your conclusion with respect to the interaction of Factors A and B-The interaction of factors A and B is not significant
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