Question

In: Statistics and Probability

Determine whether the following should be classified as simple random, systematic, convenience, stratified, or cluster sampling....

Determine whether the following should be classified as simple random, systematic, convenience, stratified, or cluster sampling.

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      1. Every student in two different 8:00 classes on Tech's campus is selected to complete a survey

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      2. 50 people from each parish in Louisiana are asked political questions

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      3. Students are assigned numbers and a random-number generator selects students to participate in a survey

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      4. A researcher goes to the library to collect some published data

Solutions

Expert Solution

  • Simple Random Sampling: A simple random sample (SRS) of size n is produced by a scheme which ensures that each subgroup of the population of size n has an equal probability of being chosen as the sample.
  • Stratified Random Sampling: Divide the population into "strata". There can be any number of these. Then choose a simple random sample from each stratum. Combine those into the overall sample. That is a stratified random sample.
  • Cluster Sampling: Cluster sampling is a method where the researchers divide the entire population into sections or clusters that represent a population. And then some clusters are chosen as sample.
  • Systematic Sampling: Using systematic sampling method, members of a sample are chosen at regular intervals of a population. It requires selection of a starting point for the sample and sample size that can be repeated at regular intervals.

Convenience sampling: This method is dependent on the ease of access to subjects such as surveying customers at a mall or passers-by on a busy street. It is usually termed as convenience sampling, as it’s carried out on the basis of how easy is it for a researcher to get in touch with the subjects.

ANSWERS

1. Every student in two different 8:00 classes on Tech's campus is selected to complete a survey:

CLUSTER SAMPLING- As every student of the two classes ( ma be treated as cluster) are selected. so this is a cluster sampling.

2. 50 people from each parish in Louisiana are asked political questions

STRATIFIED SAMPLING- as parish in louisiana is considered as strata and samples (50 people) from each strata i.e parish is taken

3. Students are assigned numbers and a random-number generator selects students to participate in a survey

SIMPLE RANDOM SAMPLING- As here each student has an equal chance of being selected.

4. A researcher goes to the library to collect some published data.

CONVENIENCE SAMPLING- As it is convenient for the researcher to collect the published data from a library.


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