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 | 9 | 13 | 11 |
| 13 | 17 | 15 | |
| System 2 |
6 | 16 | 20 |
| 10 | 18 | 26 | |
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). Round p-value to four 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 Selectless than .005between
.005 and .0125between .0125 and .025between .025 and .05greater
than .05Item 21
What is your conclusion with respect to Factor A?
SelectFactor A is significantFactor A is not significantItem
22
The p-value for Factor B is Selectless than .005between
.005 and .0125between .0125 and .025between .025 and .05greater
than .05Item 23
What is your conclusion with respect to Factor B?
SelectFactor B is significantFactor B is not significantItem
24
The p-value for the interaction of factors A and B is
Selectless 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?
SelectThe interaction of factors A and B is significantThe
interaction of factors A and B is not significant
