person | Suite 1 | Suite 2 | Suite 3 | Suite 4 | Suite 5 |
---|---|---|---|---|---|
1 | 3.08 | 2.36 | 2.00 | 3.00 | 2.68 |
2 | 2.60 | 3.04 | 2.56 | 2.88 | 1.92 |
3 | 3.44 | 3.28 | 2.52 | 3.44 | 3.28 |
4 | 3.04 | 2.68 | 1.88 | 3.64 | 3.20 |
Worksheet 05: Introduction to Cluster Sampling
Worksheet
A student wants to estimate the average GPA in their dorm. Obtaining a listing of all students in the hall and conducting an SRS would take a lot of time. Instead, since each of the 100 suites in the hall have 4 students, the student randomly samples 5 suites and collects GPA data for each student in the suite. A summary table is shown below.
Using hand written equations, estimate the average GPA for all students living in that dorm, with a proper 95% CI. Interpret your interval