please use R code

Plant Shoot Root 4.42 3.76 5.81 5.40 4.65 3.91 4.77 4.29 5.25 4.69 4.75 3.93 G- 5.5 G- Carbohydrate Concentration 4.5 3.5 Shoot RootScientists want to know if a specific bean plant variety shows evidence of having a higher mean carbohy- drate concentration in its shoot than in its root. Six bean plants had their carbohydrate concentration (in percent by weight) measured both in the shoot and in the root. The following results were obtained. A table and graph of the data are provided below. 1) explain why we need to consider the sample of differences (Shoot-Root) instead of the two samples of data separately when making inference. 2) Construct the relevant histogram and ggnorm plots to check the normality assumptions of the paired t-test. Explain 34111213129119! _r_1_o_t the normality assumption of the paired t-test seems to be well met. 3) Does this data give us strong evidence that the mean carbohydrate concentration in the shoot is different than that in the root? Use or = 0.01 to make conclusions with the paired t-telst 4) The scientists decide to also perform a Wilcoxon signed rank test on the data, because of the heavy tails and small sample size. Perform the test in R and report the test statistic and p value. Compare the evidence against the null to that found with the t test in part (c)