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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 which is stratified by town to investigate (the minimum investigated unit is administrative village) the total population of Heshun county in Shanxi province in 1998, require that the standard deviation of the estimated total population isn't greater than 12626 （ namely, the mean variance of the estimated total population isn't greater than 1500 in the software ） , the administrative village size of each town is known . A ccording to the previous investigated results, the standard deviation of village population in each layer can be estimated .

 

Sampling box:

326 administrative villages of Heshun county
 

Layer:

10 towns

 

Sampling method:

Stratified random sampling

 

Objective:

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

 

Condition:

  1. The estimated standard deviation of the total population isn't greater than 12626 ;
  2. According to the previous investigated results, estimate the standard deviation of the village population of each layer (town) （ standard deviation is the root of the mean of sum of squares of deviations, which reflects the dispersion degree of this layer ） as follows:
In the table: CODE is the town number, NAME is the town name, NUM is the administrative village size of this town, STDEV is the standard deviation of the population of this town surveyed previously.
Request:
  1. Total optimal sample size and sample size of each layer (town) (attain the accuracy requirement and the least cost) ;
  2. Distribute the samples;
  3. Estimate the total population and sampling accuracy of Heshun county according to the sampling sites and the investigated data.
 

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