Question

a lake tahoe community college instructor is interested in the mean number of days lake tahoe community college math students are absent from class during a quarter. the instructor takes her sample by gathering data on five randomly selected students from each lake tahoe community college math class. which type of sampling did she use? \\(\bigcirc\\) cluster sampling \\(\bigcirc\\) simple random sampling \\(\bigcirc\\) stratified sampling \\(\bigcirc\\) convenience sampling

Explanation:

To determine the sampling type, we analyze each option:

• Cluster sampling: Involves dividing the population into clusters and randomly selecting entire clusters. Here, we're not selecting entire classes (clusters) but students from each class, so not cluster.
• Simple random sampling: Involves randomly selecting individuals from the entire population without any grouping. Here, we have groups (math classes) and select from each, so not simple random.
• Stratified sampling: Involves dividing the population into strata (groups with similar characteristics) and then taking a sample from each stratum. The math classes can be considered strata, and we take 5 students from each class (stratum), which fits stratified sampling.
• Convenience sampling: Involves selecting individuals who are easiest to reach. Here, we're not just picking convenient students but sampling from each class, so not convenience.

Answer:

stratified sampling