Questions
STA304H1 S Module 4 Practice Problems
Multiple dropdown selections
The University Hospital Network (UHN) Links to an external site. is interested in learning about the different wait times for elected surgeries. The UHN consists of multiple hospitals (e.g., Toronto General, Princess Margaret, etc.) with multiple departments (e.g., Pediatric, Oncology, etc.). From previous studies the UHN believes that the different hospitals have similar wait times, but the different departments do not. Fill in the blanks of the following two statements. Statement 1: If the UHN decided to perform cluster sampling it is best to have [ Select ] Princess Margaret oncology hospitals departments be [ Select ] strata clusters systematic sampling list . Statement 2: If the UHN decided to perform stratified sampling it is best to have [ Select ] departments Toronto General hospitals pediatric be strata .
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Step-by-Step Analysis
Let’s break down the two sampling scenarios and match the units to be sampled at each stage.
Option analysis for Statement 1: 'If the UHN decided to perform cluster sampling it is best to have [Select] Princess Margaret oncology hospitals departments be [Select] clusters'
- First blank possibilities: hospitals vs departments. In cluster sampling, you divide the population into natural groups (clusters) and randomly select entire clusters to study. The natural groupings within UHN are the hospitals (e.g., Toronto General, Princess Margaret, etc.). Therefore, the appropriate unit to serve as clusters is 'hospitals'. Using 'departments' as clusters would be less natural because departments exist within hospitals, not as separate, independent clusters across the entire network, and you’d still have to sample within those units. So 'hospitals' is the sensible choice here.
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