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What Sampling Method would be best? AP Statistics Name Date Period Identify the

ID: 3360678 • Letter: W

Question

What Sampling Method would be best? AP Statistics Name Date Period Identify the explanatory and response variable. Determine which sampling method would be best for each scenario: Simple Random Sample, Systematic, St Describe your method (may use a flowchart). ratified, or Clustering Texas Education Agency would like to survey current high school students on their opinions regarding graduation requirements. TE high school students based on their size of high school. 1. A wants to sample an appropriate representation of all Variable(s): Sampling Method Describe method: The Panther Prowler wants to run an article on the average monthly income of juniors and seniors at OHS. 2. Variable(s): Sampling Method: Describe method: OHS campus police do not have time to check every student vehicle for a proper parking permit. They have time to check one vehicle for every ten parked in the parking lot. 3. Variable(s): Sampling Method: Describe method: 4. Using a list of approximate calories in servings of food sold by the cafeteria, parents want to know approximately how many calories students are consuming during lunch on a daily basis Variable(s): Sampling Method: Describe method: 5. The school murse would like to know the average height and weight of students in each of the four grade levels. Variable(s) Sampling Method: Describe method:

Explanation / Answer

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1) A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. An example of asimple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees.

So, this is a case of simple random sampling.

There are many methods to proceed with simple random sampling. The most primitive and mechanical would be the lottery method. Each member of the population is assigned a unique number. Each number is placed in a bowl or a hat and mixed thoroughly. The blind-folded researcher then picks numbered tags from the hat. All the individuals bearing the numbers picked by the researcher are the subjects for the study. Another way would be to let a computer do a random selection from your population. For populations with a small number of members, it is advisable to use the first method but if the population has many members, a computer-aided random selection is preferred.

Variable: opinion about graduation requirements.

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