Answer to Question #194475 in Statistics and Probability for Daniela(me)

Question

 

3. To determine monthly rental prices of apartment units in the San Francisco area, samples were constructed in the following ways. Categorize each sampling technique described (cluster, convenience, simple random, stratified, systematic).

a) Number all the units in the area and use a random number table to select the apartments to include in the sample.  

b) ​Group the apartment units according to number of bedrooms and then sample from each of the groups.   

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c) Select 5 zip codes at random and include every apartment unit in the selected zip codes.

      ​

d) Look in the newspaper and consider the first twenty apartment units that list rent per month.

       ​

e) Call every 5th apartment complex listed in the yellow pages and record the rents of the units.

       

Answer 1

a) 

Number all the units in the area and use a random number table to select the apartments to include in the sample.  

This is simple random sampling.

b) ​Group the apartment units according to number of bedrooms and then sample from each of the groups.   

This is Stratified random sampling.

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c) Select 5 zip codes at random and include every apartment unit in the selected zip codes.

This is cluster sampling.

      ​

d) Look in the newspaper and consider the first twenty apartment units that list rent per month.

This is Convenience sampling.

       ​

e) Call every 5th apartment complex listed in the yellow pages and record the rents of the units.

This is systematic sampling.