Mathematics Homework Help
Mathematics Homework Help. One question of statistics
- Consider a population of 8 units (y1, …, y8) = (15, 34, 35, 36, 11, 17, 36, 15). Sup- pose you take a simple random sample of size 3 with replacement.
- List all possible values of the sample total T.
- Find the sampling distribution of the sample total T .
- Let zi = 1 if unit i is selected into the sample and zi = 0 otherwise. Calculate the correlation of zi,zj.
- Recalculate the sampling distribution of T when sampling without replace- ment.
- Recalculate the correlation of zi , zj when sampling without replacement.
- Calculate mean and variance of the sample total T for both sampling withand without replacement distributions.
HI, I need someone to deal with this question 1, and also, I will provide some useful R code. thx