In: Statistics and Probability
A large city wants to conduct a survey about its public transportation system. The intended population is all current residents, regardless of whether or not they use public transportation. Match each scenario below with one of the following sampling methods.
A. Convenience Sample
B. Cluster Sample
C. Simple Random Sample
D. Stratified Sample
E. Systematic Sample
F. Voluntary Response Sample
G. None of the above
1. Advertise on local television and radio, inviting residents to call a toll-free number and complete the survey. Use all of the responses from those who are current residents.
2. Choose 6 postal ZIP codes at random, then survey all residents living in each of the chosen ZIP codes.
3. Assume the population of all current residents consists of 15% who never ride the bus, 23% who ride the bus once per week, 17% who ride the bus every weekday, and 45% who ride the bus every day. Choose 200 current residents as follows: randomly select 30 who never ride the bus, 46 who ride the bus once per week, 34 who ride the bus every weekday, and 90 who ride the bus every day.
4. Randomly choose a bus route and a day of the week, and ride the bus on that day for one month. Survey those on the same bus who happen to be current residents.
5. From all current residents, choose a set of 355 completely at random (each possible set of 355 current residents is equally likely to be the chosen sample).
Soln
Simple Random Sampling
If all possible samples of n objects are equally likely to occur, the sampling method is called simple random sampling.
Stratified sampling
The researcher divides the population into separate groups, called strata. Then, a probability sample (often a simple random sample) is drawn from each group.
Systematic Sampling
We create a list of every member of the population. From the list, we randomly select the first sample element from the first k elements on the population list. Thereafter, we select every kth element on the list.
Cluster Sampling
The researcher divides the population into separate groups, called clusters. Then, a simple random sample of clusters is selected from the population. The researcher conducts his analysis on data from the sampled clusters.
Convenience Sample
A convenience sample is one of the main types of non-probability sampling methods. A convenience sample is made up of people who are easy to reach.
1) Option F ie Voluntary Response Sample
2) Option B ie Cluster Sample
3) Option A ie Convenience Sample
4) Option E ie Systematic Sample
5) Option C ie Simple Random Sample