Question

In: Statistics and Probability

A factorial experiment was designed to test for any significant differences in the time needed to...

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 8 9 11
12 13 15
System 2 6 13 16
10 15 22

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
Factor B
Interaction
Error
Total

Solutions

Expert Solution

Excel:

Data - Data analysis

ANOVA
Source of Variation SS df MS F P-value
Columns 98 2 49 5.653846 0.041662
Sample 16.33333 1 16.33333 1.884615 0.21891
Interaction 32.66667 2 16.33333 1.884615 0.231672
Within 52 6 8.666667
Total 199 11

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