A factorial experiment was designed to test for any significant differences in t

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). Round p-value to four decimal places.

The p-value for Factor A is (Pick one): less than .005, between .005 and .0125, between .0125 and .025, between .025 and .05, greater than .05

What is your conclusion with respect to Factor A? (Pick one)
Factor A is significant / Factor A is not significant

The p-value for Factor B is (Pick one): less than .005, between .005 and .0125, between .0125 and .025, between .025 and .05, greater than .05

What is your conclusion with respect to Factor B? (Pick one)
SelectFactor B is significant / Factor B is not significant

The p-value for the interaction of factors A and B is (Pick one): less than .005, between .005 and .0125, between .0125 and .025, between .025 and .05, greater than .05

What is your conclusion with respect to the interaction of Factors A and B? (Pick one)
The interaction of factors A and B is significant / The interaction of factors A and B is not significant

Language Spanish French German System 1 7 14 12 11 18 16 System 2 9 12 17 13 14 23

Explanation / Answer

FACTOR A IS NOT SIGNIFICANT

P VALUE IS  GREATER than .05

FACTOR B IS SIGNIFICANT

P VALUE IS BETWEEN.025 and .05

INTERCATION OF FACTOR A AND FACTOR B IS NOT SIGNIFICANT

P VALUE IS GREATER THAN 0.05

SOURCE S.S D.F M.S FCAL P VALUE FACTOR A 8.333 1 8.333 0.962 0.365 FACTOR B 100.667 2 50.333 5.808 0.04 INTERACTION 40.667 2 20.33 2.346 0.177 ERROR 52 6 8.667 TOTAL 201.667 11

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