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

Spanish French German
System1 8 10 12
12 14 16

System2 6 14 16
10 16 22

Test for any significant differences due to language translator, type of language and interaction. Use a=.05

Answer 1

For main effects

Factor (Language translator) confirms that there is no significance difference between two levels of language translator of main effect at 5% level of significance.

Factor (Types of language) confirms that there is no significance difference between three levels of types of language at 5% level of significance.

also,

For interaction effect between language translator and types of language, there is no significant difference that the interaction between language translator and types of language at 5% level of significance.

Explanation:

see attached.