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a. Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine vitamin B-1 content, resulting in

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a. Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine vitamin B-1 content, resulting in the following data (mgfg}. Please visualize the data and then investigate if at least two of the grains differ with respect to true average vitamin B-1 content at 5% level. wheat 5.2 4.5 5.0 5.1 5.? 5.8 barleyr 5.5 5.0 5.1 T.5 5.9 5.5 maize 5.5 4.? 5.4 4.9 5.0 5.2 oats 5.3 5.1 T.B T.0 5.5 T.2 b. In an experiment to determine if the amount of paint coverage depends either on the brand of paint or on the brand of roller used,1 gallon of each of four brands of paint was applied using each of three brands of roller, resulting in the following analysis table. Please ll up all missing entries (1?) in the table and show your calculations, and then assess whether paint and roller brand has any effect on coverage at 5% level respectively. 0f Sum Sq Hean Sq F value Pr(>F) roller 17 77777 1g_00 77777 77-77-77 Paint '? 159_53 77'??? 77'??? 777'??? Residuals '? '?'?'?'?'? 5.?8

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