An entomologist was testing the behavior o. a biocontrol insect - comparing the quantity of leaves eaten by insects of either the intended target plant or one of two other closely related plant species. The entomologist had raised 50 biocontrol insects to their second instar, and randomly assigned an equal number of insects to reeu upon each species. Unfortunately, some of the insects died in the course of the study so the replicates of each treatment are incomplete. The resulting data follow lang. upe- 10 Non *ag copedto 1 Nama get species 2 24 41 34 25 24 28 22 25 34 35 Count ty of leaf mass cor.stimed (in mg) 45 36 29 26 30 39 31 Is there any difference in leaf consumption among these three groups? (a) write out the linear additive model for this study and define all symbols. (b) Analyze the data using SAS (include your SAS program and only the PERTINEN 1 results). (c) What can you conclude about the experiment. 2. A dean at a small college velieves there may be a difference in the mean age of the faculty in different departments. He obtains the following information about faculty ages (in years) from four random departments: Department Age (years) Mathematics 29 35 31 32 English 45 37 42 38 36 Foreign Languages 27 32 29 History 43 39 (a) Write out the linear additive model for this study and define all symbols. (b) Construct the ANOVA table, calculating the sums of squares by hand! Show your work! (c) What can you conclude about the experiment