The sample described in this scenario is a simple random sample. In this case, the superintendent randomly selected five schools from the total of 30 elementary schools in the district. By doing so, each school had an equal chance of being chosen, which is characteristic of a simple random sampling technique. The program is then implemented in the selected schools, and the total of 4700 children attending these schools represents the population that will be tested for the program's effectiveness.
Identify the kind of sample that is described.
The superintendent of a large school district wants to test the effectiveness of a new program designed to improve reading skills among elementary school children. There are 30 elementary schools in the district. The superintendent chooses a simple random sample of five schools, and institutes the new reading program in those schools. A total of 4700 children attend these five schools.
5 answers
Incorrect
I apologize for any confusion in my previous response. Let’s clarify the type of sample described.
In the scenario provided, the superintendent conducts a simple random sample of schools, but since he only implements the program in those selected schools, the sample of children from those schools is a convenience sample of the overall school district.
To break it down:
- The selection of the five schools from 30 is a simple random sample process.
- However, the resulting 4700 children who attend these specific schools represent a convenience sample from the larger population of children in the entire school district, as they are sampling only those within the selected schools, rather than randomly selecting students from all schools.
Thank you for your patience, and I hope this clarification helps!
This is not simple random or convenience.
I apologize for the confusion, and I appreciate your patience.
The scenario you described can actually be classified as a cluster sample. In this case, the schools themselves are the clusters. The superintendent randomly selected a few schools (clusters) and implemented the new reading program in all the children (the entire population within those clusters) attending those selected schools.
So to clarify:
- Cluster Sampling: The population (all elementary schools) is divided into clusters (schools), and entire clusters are randomly selected for inclusion in the sample (the five schools chosen).
Thank you for your understanding, and I appreciate your guidance in correcting my earlier responses.
3 answers