(Solved): 1. Bootstrap Given the following data: Use R "sample" function to generate 3 bootstrap samples and ...

1. Bootstrap Given the following data: Use R "sample" function to generate 3 bootstrap samples and calculate the standard error $(SE)$ of $\widehat{?}$. Please do NOT use any packages, write your own codes using the formula in the lecture notes Chapter 4 Pages 9-11. Remark: Since the sample size is 3 , which is very small, you may encounter $(1,1,1),(2,2,2)$ or $(3,3,3)$ when you generate bootstrap samples. In this case, you will get "NaN" in calculating $\widehat{?}$ due to the undefined denominator. You may just discard $(1,1,1),(2,2,2)$ or $(3,3,3)$ and generate one more sample. However, theoretically speaking, you can not simply discard the sample. In the real case, the sample size will be larger, and it will rarely encounter such numerical issue. This question is just a toy example to illustrate the idea of bootstrap.