A factorial experiment was designed to test for any significant differences in t
ID: 3224321 • 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 significantItem 23
Explanation / Answer
1.
Two-way ANOVA: Data versus System, Language
Source DF SS MS F P
System 1 12 12.000 1.38 0.284
Language 2 248 124.000 14.31 0.005
Interaction 2 8 4 .000 0.46 0.651
Error 6 52 8.667
Total 11 320
2. P-value of System - Factor A - 0.284
Factor A is not significannt since 0.284 > alpha 0.05
3. P-value of System - Factor B - 0.005
Factor B is significannt since 0.005 < alpha 0.05
4. P-value of interaction - 0.651
Interaction is no significant since 0.651 > alpha 0.05
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