Please provide the answer with R code. Thank you!

2. A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population. She randomly assigns now = 8 to the old diet. and anew = 5 to a new diet. including the additive. The cows are housed in 13 widely separated pens. After two weeks. she milks each cow and records the milk produced in pounds: lOld Diet: 43, 51. 44. 47, 38. 4'5, 40, 35 New Diet: 4?, 75, 85. 100, 58 Let an\". and Judd he the population mean milk productions for the new and old diets, respectively. She wishes to test H0 : anew pom : 0 against HA : anew Judd 7E 0 using c: = 0.05. (a) lGraph the data as you see t. \"-"hy did you choose the graph(s} that you did and what does it (do they) tell you? (b) Choose a test appropriate for the hypotheses and justify your choice based on your answer to part (a). Then perform the test by computing a p-value. and making a reject or not reject. decision. Finally. state your conclusion in the context of the