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Stratified Sampling

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Stratified Sampling


1. The problem involves selecting a sample of employees from an organisation with 5 departments, each having a different number of employees. 2. Since the HR manager has a list of all employees and departments vary in size, a stratified sampling method is appropriate. This ensures each department is proportionally represented. 3. The formula for the sample size from each department is: $$ n_i = \frac{N_i}{N} \times n $$ where $n_i$ is the sample size from department $i$, $N_i$ is the number of employees in department $i$, $N$ is the total number of employees, and $n$ is the total sample size desired. 4. Important rules: - The sum of all $n_i$ must equal $n$. - Each $n_i$ should be rounded appropriately to ensure whole employees are selected. 5. Steps to apply: - Calculate total employees $N = \sum_{i=1}^5 N_i$. - Decide total sample size $n$. - Calculate each $n_i$ using the formula. - Select $n_i$ employees randomly from each department. This method ensures fair representation of all departments in the sample, reflecting the organisation's structure accurately.