university in the region has a population of 10,000 students distributed into 12 courses and four year levels. if you would like to determine the sample,what technique can be applied
To determine a sample from the population of 10,000 students distributed into 12 courses and four year levels, you can apply the technique of stratified sampling.
Stratified sampling involves dividing the entire population into subgroups or strata based on relevant characteristics, in this case, courses and year levels. This technique ensures that each stratum is represented in the sample, in proportion to its size within the population.
Here's how you can apply stratified sampling to determine a sample from this university population:
1. Define the Strata: Identify the relevant characteristics for stratification. In this case, it would be the courses and year levels.
2. Determine the Proportions: Calculate the proportion of students in each course and year level by dividing the number of students in each stratum by the total population.
3. Set the Sample Size: Decide on the desired sample size. For example, if you want a sample of 500 students, you could allocate a proportionate sample size to each stratum based on their proportion in the population.
4. Randomly Select within Strata: Randomly select students from each stratum to form your sample. You can use techniques such as simple random sampling or systematic sampling within each stratum. This ensures representation from each course and year level in the final sample.
By using stratified sampling, you can have a sample that accurately represents the population in terms of course and year level distributions. This technique helps ensure that the results obtained from the sample can be generalized to the entire university population.