Assume that the population consists of all students...

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.
a. Simple random sample
b. Systematic sample
c. Stratified sample
d. Cluster sample

Key Concepts

Simple Random Sampling

This is a sampling method in which every member of the population has an equal chance of being selected. To perform a simple random sample, you would assign a unique identifier to each student and then use a random mechanism, such as a random number generator or drawing names from a hat, to choose six students without any additional adjustment or grouping.

Systematic Sampling

This method involves selecting every kth member from a list after a random start point. For example, if the students are listed in a specific order, you would randomly choose a starting point and then select every nth student until you have collected a total of six students, ensuring a spread throughout the entire class.

Stratified Sampling

In stratified sampling, the population is divided into homogeneous subgroups called strata (such as sections based on gender, performance level, or any relevant characteristic), and then a random sample is drawn from each subgroup. For a class, if there are distinct groups, you would determine how many students each subgroup contributes in order to fairly represent the diversity of the class in your sample of six.

Cluster Sampling

Cluster sampling involves dividing the population into separate groups, known as clusters, usually based on naturally occurring divisions. You then randomly select one or more of these clusters and include all or a random sample of members from the chosen clusters. In the context of a class, clusters might correspond to lab groups or project teams, one of which is randomly selected to obtain your sample of six students.

Transcript

00:01 Assume that the population consists of all students currently in your stats class.

00:05 Describe how to obtain a sample of six students so that the result is a sample of the given type.

00:11 First, simple random.

00:19 Well, a simple random sample, that kind of sampling uses a sample of size n in this place, maybe how many are in your class, in which every sample of size n has an equal chance of being chosen.

00:33 So the population contains all the students in your class, let there be, and students.

00:56 And you could write the name of each student on a separate, let's say, slip of paper.

01:10 And then you could place all slips in a bag.

01:16 And then you can randomly pick six slips from the bag.

01:28 Of course without looking so that they have an equal chance of being chosen.

01:36 The corresponding six students would then be in the sample.

01:43 For systematic sample, systematic sampling is letting every n individual be in a sample as an integer.

02:01 So the population contains all the students in your class, let there be n students in your class again.

02:07 You could, for instance, obtain an you could obtain an alphabetical list of all students in your class, and then you could select every an out of six student on the list, so every sixth one.

02:54 The third kind, a stratified sample.

03:02 The third kind, a stratified sample...

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