3. (40 points) To compare two treatments for solid tumors, two groups of mice were inoculated with a highly malignant neoplasm, and after randomization into the treatments, survival (days) was observed as follows:

Group 0 : 16, 16+, 18+, 19+, 20, 28, 32+

Group 1 : 10, 14, 15, 18, 18, 20+, 21 where "+" indicates censoring.

(a) Give the estimated 18-year survival probabilities, S1(18) and S2(18) based on these data along with the corresponding confidence intervals.

(b) Estimate the median survival time for people in these two groups.

(c) Test whether there is a difference in 18-day survival probability between these two groups. (d) Formally test whether the overall survival curves differ between these two groups.

(e) Produce a plot showing two survival curves and the corresponding test result.

please help with r and explaining