I don’t know how to handle this Statistics question and need guidance.

- Every sample of size 6 has equal chance (randomly choose 6 students out of 30). Answer following questions: (a) How many possible samples?(b) p(s) = ?(c) ns = ?(d) Number of sample containing unit k?(e) First order inclusion probabilities?(f) Second order inclusion probabilities
- If the design has a fixed sample size n, then pi ik> pi i +pi k -1
- Give a brief example of surveys with the following properties. You should identify and define enough of the population, sampling frame, sample design and data collection to be convinving in your answers.
- The survey is not a probability sample.
- The survey is a probability sample but does not have a measurable design AND is not a systematic sample (SY).
- The survey is a probability sample with a measuable design, but there is likely to be a problem with some other aspect of the survey (e.g., non response or response error).
- The survey has a great design, but is simply impractical due to cost and/or time constraints.

4. 2.6 from SSW (Särndal, Swensson, Wretman)

5. using the given data to running R code As an exercise, we will estimate the population of Iowa in the year 2000 based on a sample of counties.