pulling 50 names from a hat grade separating all students by grade level, and selecting 10 students from each Sampling Method a. Simple Random the students in your math class b. Convenience dividing by population by voting precinct, and sampling everyone in the c. Stratified d. Systematic e. Cluster

To address the problem of selecting students from a hat based on grade levels, we can analyze the sampling methods mentioned. Here’s a breakdown of each method: 1. **Simple Random Sampling**: This method involves selecting students randomly from the entire population without any specific criteria. For example, if you randomly select 10 students from your math class without considering their grade levels, that would be simple random sampling. 2. **Convenience Sampling**: This method involves selecting students based on ease of access. For instance, if you decide to sample students who are readily available in a specific location, such as those present in a particular classroom or area, that would be convenience sampling. 3. **Stratified Sampling**: This method involves dividing the population into distinct subgroups (strata) and then randomly selecting samples from each subgroup. In your case, separating students by grade level and selecting 10 students from each grade is an example of stratified sampling. 4. **Systematic Sampling**: This method involves selecting every nth individual from a list or sequence. For example, if you have a list of students and you decide to select every 5th student, that would be systematic sampling. 5. **Cluster Sampling**: This method involves dividing the population into clusters (often geographically) and then randomly selecting entire clusters to sample. For example, if you divide students by their classrooms and randomly select a few classrooms to include all students from those classrooms, that would be cluster sampling. ### Summary of Sampling Methods: - **a. Simple Random**: Randomly selecting students from the entire class. - **b. Convenience**: Sampling students who are easily accessible. - **c. Stratified**: Separating students by grade and selecting 10 from each. - **d. Systematic**: Selecting every nth student from a list. - **e. Cluster**: Randomly selecting entire groups or clusters of students. In your scenario, the correct sampling method for selecting 10 students from each grade level is **c. Stratified**.