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91Ó°ÊÓ

Suppose a person with access to student records at your college has an alphabetical list of currently enrolled students. The person looks at the records of every 10th person (starting with a randomly selected person among the first 10 ) to see whether they have paid their latest tuition bill. What kind of sampling does this illustrate?

Short Answer

Expert verified
The type of sampling illustrated by this procedure is known as Systematic Sampling.

Step by step solution

01

Understanding the Given Scenario

First, carefully read the given problem. A person is checking not all student records but selecting every 10th person, in alphabetical order, starting from a random person among the first 10. The students are not selected randomly per se, but rather there is a system being followed.
02

Identifying the Sampling Technique

The individual selects 'every 10th person' from an alphabetical list of students. This indicates that the sample is not being randomly or arbitrarily chosen, but rather according to a set pattern (i.e., every 10th person). This method is a type of systematic sampling, where items are ordered and then chosen at regular intervals to be part of the sample.

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Key Concepts

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

Sampling Techniques
When researchers or statisticians need to gather information, they often can't collect data from every individual in a population due to time, cost, or practicality constraints. Thus, they use sampling techniques to select a representative subset of the population which can provide insights into the whole. There are various sampling methods, each with its advantages and specific use cases. Simple Random Sampling is quite straightforward; it ensures that every member of a population has an equal chance of being chosen. Systematic Sampling, which is highlighted in the given exercise, involves selecting members at regular intervals from an ordered list. Stratified Sampling divides the population into subgroups and randomly samples from each subgroup proportionally. Lastly, Cluster Sampling involves dividing the population into clusters and randomly selecting whole clusters for study.

Choosing the right sampling technique is crucial. It affects the quality and accuracy of the data collected, as well as the validity of any conclusions made based on that data.
Simple Random Sampling
Considered one of the most basic and fair sampling methods, Simple Random Sampling ensures that every individual has an equal probability of being selected. This method is akin to drawing names out of a hat. In this method, every possible sample of the desired size has the same chance of being chosen. The benefit of this approach is that it minimizes sampling bias and offers a straightforward process for selection. However, it requires a complete list of the population and can be impractical for large populations. When data are collected using this method, statistical analysis can typically be applied without needing complex formulas, which simplifies the inferential process.
Statistical Sampling
Statistical Sampling refers to the process of selecting a subset of a population to estimate characteristics of the whole population. It's a cornerstone of statistical analysis because it allows for collecting and analyzing data that would be impossible to harness in its entirety. Statistical sampling techniques are used in hypothesis testing, estimating population parameters, and in making predictions about a population from the sample. When executed correctly, statistical sampling can provide reliable results without examining every single case. Key considerations in statistical sampling include the size of the sample, the sampling method used, and potential sources of bias or error in the selection process.
Data Collection Methods
Apart from determining which sampling method to use, deciding on the data collection methods is another critical step in the research process. There are many ways to collect data, including surveys, interviews, questionnaires, observations, and experimentations. The collection method depends largely on the research objective and the nature of the data needed. Quantitative data collection methods involve structured techniques such as online surveys, face-to-face interviews, or systematic observation. Qualitative data collection methods like focus groups or open-ended surveys are better for gathering in-depth insights. Effective data collection methods ensure that the information is accurate, consistent, and reliable, leading to more trustworthy results in statistical analysis.

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