Sampling survey to the total population of Heshun county in Shanxi province in year 1998

Description:

We need to take some samples from 326 administrative villages to investigate (the minimum investigated unit is administrative village) the total population of Heshun county in Shanxi province in 1998, require that the absolute error isn't greater than 10000 when s ignificance l evel is 0.05. According to the previous investigated results, the standard deviation of each village population is about 350.

Sampling method:

Simple random sampling

Objective:

To estimate the total population of Heshun county in year 1998 by sampling

Condition:

1. Significance l evel is 0.05;
   
2. The absolute error of the estimated total population isn't greater than 10000;
   
3. The expectation estimation of standard deviation of each village population is 350.

Request:

1. Optimal sample size, namely, the least administrative village size to meet the estimation requirement ;
2. Distribute the samples, namely, extract the administrative village number that need to be investigated from the sampling box by entire random way.
3. Estimate the total population and sampling accuracy of Heshun county according to the sampling sites and investigated data.