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In: Statistics and Probability

Data provides the analysis of six samples of each of four types of cereal grain grown...

Data provides the analysis of six samples of each of four types of cereal grain grown in a certain region to determine thiamin content (mg/g). Thiamin content values (mg/g) Wheat 5.2 4.5 6.0 6.1 6.7 5.8 Barley 6.5 8.0 6.1 7.5 5.9 5.6 Maize 5.8 4.7 6.4 4.9 6.0 5.2 Oats 8.3 6.1 7.8 7.0 5.5 7.2

(a) Calculate SSTr and SSE

(b) Calculate MSTr and MSE

(c) Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level = 0:05 test. What is your conclusion?

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