Question

Determine the number of samples to be taken from the given population of participants with consideration of the defined strata. (10 points) Level SASTE SBAHM SITE SNAHS Total First Year 80 125 44 180 Second Year 94 135 54 231 Third Year 78 156 62 160 Fourth Year 88 132 46 126 Fifth Year 45 38 68 105 Total 80 125 44 180 Level SASTE SBAHM SITE SNAHS Total First Year Second Year Third Year Fourth Year Fifth Year Total .

Answer 1

In stratified sampling, the population is divided into strata, and samples are taken from each group in proportion to its size. Examples provided cover different sampling methods, including stratified and cluster sampling, in various scenarios.

Step-by-step explanation:

The question pertains to the determination of the number of samples from different strata within a population, for the purpose of conducting stratified sampling. In stratified sampling, the population is divided into distinct subgroups, known as strata, and samples are taken from each stratum in proportion to its size in the population. This technique ensures that each subgroup is appropriately represented in the sample.

For example, when determining the type of sampling method used, we can analyze the scenarios given:

• a. The soccer coach is using stratified sampling because players are selected from predefined age groups, which are the strata.
• b. The pollster's method is an example of cluster sampling, as all personnel from selected companies (the clusters) are interviewed.
• c. The educational researcher is employing stratified sampling by ensuring equal representation of male and female teachers.

To conduct a stratified random sample in a high school, for example, one could divide the students by year (freshman, sophomore, junior, or senior) and then take a simple random sample from each class year.