To detect the presence of harmful insects in farm fields, we can put up boards covered with a sticky material and examine the insects trapped on the boards. Which colours attract insects best? Experimenters placed six boards of each of four colours at random locations in a field of oats and measured the number of cereal leaf beetles trapped. Here is the data:
(a) Use all steps of an appropriate statistical method to determine whether there are differences in the means of the number of cereal leaf beetles, in terms of colour preference, based on the numbers trapped on the different coloured boards.
(b) If appropriate, carry out post-hoc multiple comparisons of group means. Explain your results. If you choose to not conduct post-hoc tests, explain why.
(c) State any assumptions you have made and assess whether these are met with this data.
You need to demonstrate understanding of statistical inference for numerical variables. You must provide a copy of relevant JMP output for your answer. You may calculate by hand, but you must show appropriate working.