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Student loan debt A researcher wants to compare student loan debt for students who attend four-year public universities with those who attend four-year private universities. She plans to take a random sample of 100 recent graduates of public universities and 100 recent graduates of private universities. Which type of random sampling is used in her study design?

Short Answer

Expert verified
The study design uses stratified random sampling.

Step by step solution

01

Understand the Study Design

The researcher aims to compare two groups: graduates from public universities and those from private universities. She plans to take two samples of 100 graduates each from these distinct groups.
02

Define the Sampling Method

In the study, the researcher separately samples from two distinct subpopulations: public universities and private universities. This involves dividing the population into subgroups (or strata) and then sampling from each subgroup.
03

Identify the Sampling Technique

The technique described fits the stratified random sampling method. Each subgroup (stratum) is sampled randomly and independently from one another.

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Key Concepts

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

Stratified Random Sampling
Stratified random sampling is a method used in research to ensure that different subgroups, or strata, within a population are equally represented in the sample. In the context of the exercise, the researcher used stratified random sampling to compare student loan debt between graduates of public and private universities. By creating two strata — one for public university graduates and another for private university graduates — the researcher ensured that each group was represented fairly in the analysis.

This sampling method involves:
  • Dividing the population into distinct subgroups based on shared characteristics or criteria.
  • Randomly selecting samples from each subgroup.
  • Ensuring that the sample size from each subgroup is proportionate to the strata's size in the overall population when necessary.
This approach reduces sampling bias and increases the accuracy of the results, allowing for more meaningful comparisons between the groups.
Educational Research
Educational research is a vital field that investigates and aims to improve teaching and learning methodologies, as well as understanding related factors like student loan debt. In our example, the research project aimed to explore the impact of attending different types of universities on student loan debt. By using a structured approach like stratified random sampling, researchers can isolate the effects of variables like university type and make justified conclusions.

In educational research, a well-organized study design is crucial for gaining insights. Methods like specifying clear research objectives, choosing appropriate sampling techniques, and ensuring data validity are all part of this process. For example, when studying student loan debt, it is critical to:
  • Define clear hypotheses about how and why debt might vary between groups.
  • Use appropriate sampling methods to collect representative data.
  • Analyze the data thoroughly to draw valid conclusions.
These steps are paramount to providing research with actionable findings that can lead to policy changes, better decision-making, and improved educational systems.
Student Loan Debt
Student loan debt is a significant issue facing graduates today. Understanding the differences in debt levels between those who attended public versus private universities can provide valuable insights for policy makers and educational institutions. In the scenario described, the research aims to shed light on these differences by collecting data from graduates who attended different university types.

Factors influencing student loan debt can include:
  • The cost of tuition and fees at different types of universities.
  • The availability of scholarships and financial aid.
  • Personal financial decisions and socioeconomic status.
Conducting studies on student loan debt helps in understanding these factors and can guide future decisions in educational funding and student support strategies. This research is crucial as it potentially identifies disparities and areas needing intervention.
Quantitative Study
A quantitative study involves gathering and analyzing numerical data to understand patterns, relationships, or trends. In the exercise, the researcher applied quantitative methods to compare student loan debts between different groups of university graduates. This type of study uses measurable data and applies statistical analysis to draw conclusions.

Characteristics of a quantitative study include:
  • Structured data collection methods, such as surveys or tests.
  • Use of statistical tools to analyze the data, ensuring reliability and validity.
  • Objective measurement and evaluation of results.
The strength of quantitative studies lies in their ability to provide data-driven insights. Such studies are essential in educational research because they offer a clear, unbiased perspective and contribute to evidence-based policy making.

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Most popular questions from this chapter

Activity: Sampling the states This activity illustrates how sampling bias can result when you use a nonrandom sample, even if you attempt to make it representative: You are in a geography class, discussing center and variability for several characteristics of the states in the contiguous United States. A particular value of center is the mean area of the states. A map and a list of the states with their areas (in square miles) are shown in the figure and table that follow. Area for a state includes dry land and permanent inland water surface. Although we could use these data to calculate the actual mean area, let's explore how well sampling perfoms in estimating the mean area by sampling five states and finding the sample mean. a. The most convenient sampling design is to use our eyes to pick five states from the map that we think have areas representative of all the states. Do this, picking five states that you believe have areas representative of the actual mean area of the states. Compute their sample mean area. b. Collect the sample means for all class members. Construct a dot plot of these means. Describe the distribution of sample means. Note the shape, center, and variability of the distribution. c. Another possible sampling design is simple random sampling. Randomly select five states (using an app or computer program) and compute the sample mean area. d. Collect the sample means from part c of all class members. Construct a dot plot of the sample means using the same horizontal scale as in part b. Describe this distribution of sample means. Note the shape, center, and variability of the distribution. e. The true mean total land area for the 48 states can be calculated from the accompanying table by dividing the total at the bottom of the table by \(48 .\) Which sampling method, using your eyes or using random selection, tended to be better at estimating the true population mean? Which method seems to be less biased? Explain. f. Write a short summary comparing the two distributions of sample means. $$ \begin{array}{lr} \hline \ {\text { Areas of the } 48 \text { States in the Continental U.S. }} \\\ \hline \text { State } & \text { Area (square miles) } \\ \hline \text { Alabama } & 52,419 \\ \text { Arizona } & 113,998 \\ \text { Arkansas } & 53,179 \\ \text { California } & 163,696 \\ \text { Colorado } & 104,094 \\ \text { Connecticut } & 5,543 \\ \text { Delaware } & 2,489 \\ \text { Florida } & 65,755 \\ \text { Georgia } & 59,425 \\ \text { Idaho } & 83,570 \\ \text { Illinois } & 57,914 \\ \text { Indiana } & 36,418 \\ \text { Iowa } & 56,272 \\ \text { Kansas } & 82,277 \\ \text { Kentucky } & 40,409 \\ \text { Louisiana } & 51,840 \\ \text { Maine } & 35,385 \\ \text { Maryland } & 12,407 \\ \text { Massachusetts } & 10,555 \\ \text { Michigan } & 96,716 \\ \text { Minnesota } & 86,939 \\ \text { Mississippi } & 48,430 \\ \text { Missouri } & 69,704 \\ \text { Montana } & 147,042 \\ \text { Nebraska } & 77,354 \\ \text { Nevada } & 110,561 \\ \text { New Hampshire } & 9,350 \\ \text { New Jersey } & 8,721 \\ \text { New Mexico } & 121,589 \\ \text { New York } & 54,556 \\ \text { North Carolina } & 53,819 \\ \text { North Dakota } & 70,700 \\ \text { Ohio } & 44,825 \\ \text { Oklahoma } & 69,898 \\ \text { Oregon } & 98,381 \\ \text { Pennsylvania } & 46,055 \\ \text { Rhode Island } & 1,545 \\ \text { South Carolina } & 32,020 \\ \text { South Dakota } & 77,116 \\ \text { Tennessee } & 42,143 \\ \text { Texas } & 268,581 \\ \text { Utah } & 84,899 \\ \text { Vermont } & 9,614 \\ \text { Virginia } & 42,774 \\ \text { Washington } & 71,300 \\ \text { West Virginia } & 24,230 \\ \text { Wisconsin } & 65,498 \\ \text { Wyoming } & 97,814 \\ \text { U.S. TOTAL } & \mathbf{3 , 1 1 9 , 8 1 9} \\ \hline \end{array} $$

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