"Does adding math to a scientific paper make readers think that it has more value?"

I am given a side-by-side boxplot graph of the data results organized by the 4 postgrad degrees that the study of 200 people was made up of. I am also given a chart of summaries of degree subject (each of the 4 groups), mean score difference, SD score difference, and n.

a) Examine the graph and judge by eye how well the data likely fit the assumptions of ANOVA

b) Test whether the subject background of the participants affected how much the added math changed their views of the abstracts on average.

c) Is the relationship between degree subject and score difference strong? answer using R (code program)