Question

The sampling procedure and the situation is given in the following table:

• A. a–ii, b–iv, c–iii, d–i
• B. a–ii, b–i, c–iv, d–iii
• C. a–iv, b–iii, c–ii, d–i
• D. a–iii, b–ii, c–iv, d–i

Hint:

Systematic Sampling: \[ K=\frac{N}{n} \] Select every \(K^{th}\) unit after a random start.

Answer 1

The Correct Option is B

Step 1: Simple Random Sampling.
Every unit has equal probability. \[ a \rightarrow ii \]

Step 2: Stratified Random Sampling.
Population divided into homogeneous strata. \[ b \rightarrow i \]

Step 3: Cluster Sampling.
Population divided into clusters. \[ c \rightarrow iv \]

Step 4: Systematic Sampling.
Every \(K^{th}\) unit selected. \[ d \rightarrow iii \] \[ \boxed{a-ii,\ b-i,\ c-iv,\ d-iii} \] Hence, \[ \boxed{\text{Option (B)}} \]