4) Input the mouse example data in R. Use the SAMPLE command in R. Group Treatment 94 197 16 38 99 141 2386.86 Control 52 104 146 10 51 30 40 27 46 56.22 Survival time (in days) Mean For the treatment group alone, find the bootstrap estimates for the mean and its standard error with B 50, 100, 200, 500, 1000 and 10,000. a. b. Repeat the same simulation above but now for the sample median and its standard error. Compare the standard error estimates for the mean and the median and comment on it c. Create a table to represent the simulation results from parts (a) and (b) d. Now using bootstrap methods find an estimate for the median and its standard error for the control group. Use results from parts (b) and (d) to find the estimated standard error for the difference between the medians. e. 4) Input the mouse example data in R. Use the SAMPLE command in R. Group Treatment 94 197 16 38 99 141 2386.86 Control 52 104 146 10 51 30 40 27 46 56.22 Survival time (in days) Mean For the treatment group alone, find the bootstrap estimates for the mean and its standard error with B 50, 100, 200, 500, 1000 and 10,000. a. b. Repeat the same simulation above but now for the sample median and its standard error. Compare the standard error estimates for the mean and the median and comment on it c. Create a table to represent the simulation results from parts (a) and (b) d. Now using bootstrap methods find an estimate for the median and its standard error for the control group. Use results from parts (b) and (d) to find the estimated standard error for the difference between the medians. e