Kindly solve this statistical question showing step by step for easy understanding. Thanks

Twenty insects were used in an experiment to examine the effect on their activity level, y, of 3 standard preparations of a chemical. The insects were randomly assigned, 4 to receive each of the preparations and & to remain untreated as controls. Their activity levels were metered from vibrations in a test chamber and were as follows: Activity levels (y) Totals Control 43 40 65 51 33 39 54 62 387 Preparation A 73 55 61 65 254 Preparation B 84 63 51 72 270 Preparation C 46 91 84 71 292 For these data Ly = 1,203 , _y' = 77,249. (1) Conduct an analysis of variance test to establish whether the data indicate significant differences amongst the results for the four treatments. [7] (ii) (a) Complete the following table of residuals for the data and analysis in part (i) above: Control ? 16.6 2.6 -15.4 -9.4 5.6 13.6 Preparation A 9.5 -8.5 -2.5 1.5 Preparation B 16.5 ? -16.5 4.5 Preparation C ? -2 (b) Make a rough plot of the residuals against the treatment means. (c) State the assumptions underlying the analysis of variance test conducted in part (i). (d) Comment on how well the data conform to these assumptions in the light of the residual plot. [8] (Hib) It is suggested that any differences can be explained in terms of a difference hetween controls on the one hand and treated groups on the other. Comment on any evidence for this and state how you would formally test for this effect (but do not carry out the test). 14) [Total 19]It is necessary to simulate samples from a distribution with density function f(x) = 6x(1-x] 0