UW Stout administration wants to learn more about how Stout students are coping with academic life after the Covid public health crisis. The college randomly selects 400 of the 9619 students attending this spring and sends them an email survey. Of the 400 students selected, 238 return the surveys.

What is the sample?

Question

UW Stout administration wants to learn more about how Stout students are coping with academic life after the Covid public health crisis. The college randomly selects 400 of the 9619 students attending this spring and sends them an email survey. Of the 400 students selected, 238 return the surveys.

What is the sample?

BlackTom AI · Accepted Answer

The problem describes a study where 400 students were randomly selected from a population of 9619, and out of those 400, 238 returned the surveys.

Option interpretation: In sampling terminology, the population is the entire group of interest (all 9619 Stout students). The sample is the actual subset of the population that we observe or measure to draw inferences about the population.

First, consider what constitutes the sample in this scenario: it is the group of individuals from whom data were obtained. Here, data were obtained from the 238 students who returned the surveys. Those 238 individuals are the ones included in the analysis of survey responses, making them the sample.

Why the other potential interpretations (if any existed) would be incorrect: if we spoke of the 400 students who were selected, that set represents the sampling frame or the initial selected group, but not the final sample since responses were not obtained from all of them. If we referred to all 9619 students as the sample, that would be the population. If we described only the respondents as representing the population parameter, that would conflate the sample with a population measure rather than labeling the observed subset.

In summary, the correct understanding is: The sample consists of the 238 students who returned the surveys. The 400 selected were the sampling frame or initial selection, and the 9619 students form the population. The 238 respondents constitute the actual data-collection subset used for analysis.

STAT 130-007 Chapter 8 Quiz

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