One of the best success stories in big data is the use of statistical algorithms to translate text from one language to another. In an attempt to tap this market, a company will assess three statistical approaches in translating four languages into English: German, Mandarin, Spanish, and French. Thirty-six third-grade level books written in the different languages are randomly assigned to each translation algorithm. A panel of experts then scores (0 lowest, 100 highest) each translation. Data is provided below. With the assistance of statistical software, and at 5% significance,

a) Is the interaction statistically significant?
b) Is factor Language relevant?
c) Is factor Algorithm relevant?

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Algorithm 1 2 3 German 33 29 18 31 35 22 45 41 30 Language Mandarin 25 17 22 35 29 30 39 38 31 Spanish 26 28 29 48 44 50 48 59 51 French 32 27 24 53 43 42 39 47 40