Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.

c. Stratified sample

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Identify the strata within the population. In this case, you might divide the students into different groups based on characteristics such as year of study, major, or performance level.

Ensure that each stratum is mutually exclusive and collectively exhaustive, meaning every student belongs to one and only one stratum, and all students are included in the strata.

Determine the number of students to sample from each stratum. This can be proportional to the size of the stratum or equal across strata, depending on the research goals.

Randomly select students from each stratum. Use a random sampling method such as drawing names from a hat or using a random number generator to ensure each student has an equal chance of being selected within their stratum.

Combine the selected students from each stratum to form the final sample of six students, ensuring that the sample reflects the diversity of the population as represented by the strata.

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Stratified Sampling

Stratified sampling is a method of sampling that involves dividing a population into smaller groups, known as strata, that share similar characteristics. A random sample is then taken from each stratum. This technique ensures that each subgroup is adequately represented in the sample, improving the accuracy and representativeness of the results.

Population and Sample

In statistics, the population refers to the entire group that you want to draw conclusions about, while a sample is a subset of the population that is used to represent the whole. Sampling is crucial because it allows researchers to gather insights without needing to study the entire population, which is often impractical or impossible.

Random Sampling

Random sampling is a technique where each member of the population has an equal chance of being selected. This method helps to eliminate bias in the selection process, ensuring that the sample is representative of the population. In stratified sampling, random sampling is applied within each stratum to maintain the randomness and representativeness of the sample.

Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.c. Stratified sample