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What are the differences between a survey, an observational study, and an experiment? A population consists of all the members of a group of interest. A sample is a subset of the population.
Type of Study: Survey
Sample: The students in the study
Population: The student body
We are told that the randomly selected group of students is asked to fill the following form.
Our goal is to determine whether the given situation describes a survey, an experiment, or an observational study, then identify the sample and suggest a population from which it may have been selected. Let's do these things one at a time.
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A group of high school students is randomly selected and asked to complete the form shown. |
To do so, let's first recall the different types of studies and their definitions.
| Study Type | Definition |
|---|---|
| Survey | Data are collected from responses given a sample regarding their characteristics, behaviors, or opinions. |
| Observational Study | Members of a sample are measured or observed without being affected by the study. |
| Experiment | The sample is divided into two groups — an experimental group that undergoes a change and a control group that does not undergo a change. The effect on the experimental group is then compared to the control group. |
In our situation, the data are obtained from opinions given by people who return the form. Therefore, the situation describes a survey.
A population consists of all the members of a group of interest. Since it may be impractical to examine every member of a population, a sample — a subset of the population — is sometimes selected to represent the population. The sample can then be analyzed to draw conclusions about the entire population.
Let's consider our situation.
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A group of high school students is randomly selected and asked to complete the form shown. |
Here, the population consists of the student body. The sample consists of the students who were randomly selected and participated in the study.