/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Off-Campus Housing. A university... [FREE SOLUTION] | 91Ó°ÊÓ

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Off-Campus Housing. A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. The housing office obtains a list of the 12,304 students who live in off-campus housing and have not yet graduated and mails a questionnaire to a randomly selected group of 200 of these students. Only 78 questionaires are returned. a. What is the population in this study? Be careful: about what group does the office want information? b. What is the sample? Be careful: from what group does the office actually obtain information? The important message in this problem is that the sample can redefine the population about which information is obtained.

Short Answer

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a. All 12,304 off-campus students; b. 78 returned questionnaires of 200.

Step by step solution

01

Identify the Population

The population in this study refers to the entire group about which the housing office wants to gain information. Since they are interested in the rent paid by students for off-campus housing, the population encompasses all of the 12,304 students who live off-campus and have not yet graduated.
02

Determine the Sample

The sample is the specific group from which the office actually collects data. In this instance, the sample is the 78 students who returned the questionnaire from the 200 who were randomly selected and surveyed.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Population in Statistics
In statistics, the term "population" refers to the entire group that you want to draw conclusions about. In our case, the population is crucial to understanding rental patterns among students living off-campus. The population consists of all 12,304 students who live off-campus and have not yet graduated from the university.
The concept of population is essential because it defines the group you are interested in. It is important to remember that the population includes everyone in the specified group, not just those who provide data. Understanding this helps ensure that any findings or results apply to the entire group you are interested in.
A clear definition of the population is the first step in any statistical study. This clarity ensures that the data collected can help answer the research question or solve the problem being investigated.
Sample in Statistics
A "sample" in statistics is a subset of the population from which you actually collect data. It is nearly always impractical to collect data from the entire population, so sampling provides a manageable way to gather insights.
In the exercise, the sample consists of the 78 students who returned their questionnaires. Although 200 students were initially selected, the actual sample only includes those who provided data back to the university's housing office.
A sample should ideally be representative of the population, capturing its diversity and characteristics. This representativeness ensures that conclusions or estimates drawn from the sample can credibly apply to the broader population.
It is important to understand that the sample can sometimes restrict the population about which you're obtaining information. As such, sampling methods are crucial to how accurate and reliable your data and predictions will be.
Data Collection Methods
The process of data collection is about gathering and measuring information on variables of interest in a systematic way. It's important to choose the right data collection methods to ensure the validity and reliability of the data.
Mailed questionnaires, like in the exercise, are a common method; however, they often come with challenges, especially low response rates, as seen with only 78 out of 200 returned. This can lead to non-response bias, where those who don't respond might systematically differ in meaningful ways from those who do.
To mitigate such effects, researchers could consider combining methods, like face-to-face interviews or online surveys, to increase response rates and gain a fuller picture. Additionally, incentives can be used to encourage more participation.
Choosing the right data collection method is as important as determining the population and the sample. The method not only affects data quality but also how well the results can be generalized to the population.

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Most popular questions from this chapter

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