Please answer question 1

organize your work so Use a = 0.05 in any problem unless otherwise specified. 1. To trap harmful pests in farm fields, boards covered with a sticky material are set up, and the number of insects trapped are counted. Experimenters placed six boards each of four colors at different locations in a field of oats and measured the number of cereal leaf beetles trapped by each board. The following data were obtained Board color # of insects trapped Blue 16 11 20 21 14 7 Green 37 32 20 29 37 32 White 21 12 14 17 13 20 Yellow 45 59 48 46 38 47 (a) Test if these different colored boards are equally effective in attracting the insects. What model did you use and what are the underlying assump- tions? (b) Suppose each of these colors represent a different brand-name, and the 4 brands used in this experiment represent a random selection from all pos- sible brands. The question of interest is whether there is significant vari- ation between the effectiveness of the boards with different brand names. What alternate model will be appropriate in such a case, and what as- sumptions go with it? Test the appropriate hypothesis and estimate the model parameters. (Hint: you may not need many additional calculations for answering this part of the problem) [10+8=18) atained from an experiment which was run using a