Question

using the class roster available in the main page of this experience, construct a sample of size 6 using each method and provide explanation of how you arrived at the answer.?

Answer 1

To create a sample of size 6, different methods like simple random sampling, systematic sampling, stratified sampling, and cluster sampling can be used. Each method requires a different approach to selecting individuals for the sample.

Step-by-step explanation:

To construct a sample of size 6 using different methods from a class roster, we can apply the following sampling techniques:

• Simple Random Sampling: Assign each student on the class roster a unique number. Use a random number generator to select six unique numbers corresponding to the students in the roster.
• Systematic Sampling: Choose a starting point at random from the class roster and then select every nth name until you have a sample of size 6. Make sure the roster is ordered randomly to avoid bias.
• Stratified Sampling: If the class has some natural groupings (for instance, by major or year), divide the roster into these groups and then draw random samples from each group proportionally to obtain a total of six students.
• Cluster Sampling: Divide the class roster into clusters, perhaps by tutorial groups or project teams, and then randomly select whole clusters until the sample size reaches 6.

For example, if we are using systematic sampling and the class has 30 students, we may start with the third student on the roster (chosen at random) and pick every fifth student afterward to create our sample of 6 students.