Reference no: EM132474261
1.) The mayor of a small city (of approximately 60,000 people) has been requested to sign off on a new expansion to the high school which will be funded by an increase in property taxes. The different views of this can be wide ranging, especially given individual citizens' demographics such as the number of children they have, do they own property, etc... As such, the mayor is interested in the townspeople's view of the proposal; specifically whether or not they support the new construction and tax increase. The mayor is planning on taking a sample of citizens to get their opinions. The mayor is planning on doing a mail survey simply asking citizens if they are or are not in favor of the proposal. The mayor has several ways to obtain a sample.
The city is broken into 9 distinct neighborhoods. Each neighborhood is a relatively homogeneous collection of people with similar ages, demographics and socio-economic status. The neighborhoods are named for the directions they are in from the center of the city. They are referred to as: NE, E, SE, S, SW, W, NW, N and C. The "C" stands for center and is the neighborhood in the dead center of the city. Roughly 6650 people live in each neighborhood.
More so, each neighborhood is split further into smaller city blocks with approximately 50 blocks each. Each block has about the same number of people living on it. Further, the mayor has access to city records giving the names and addresses of all citizens in the city. The picture on the following page gives you a general idea of how the city is broken up, it does not include all blocks but is meant to give you the "flavor" of the organization.
How should the mayor sample in order to get a simple random sample, a cluster sample and a stratified sample? That is the goal of this section of the test.
1. How should the mayor sample to get a Simple Random Sample?
2. How should the mayor sample to get a Stratified Sample?
3. How should the mayor sample to get a Cluster Sample?
4. Should a census be used? Why or why not?
5. Which do you think is the most correct method, especially given the mayors goals?