A bank has a list of 1,500 account holders. A sample of 75 account holders is to be drawn from the list by systematic random sampling. The sampling interval is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 20
In systematic random sampling, every k-th member of the list is taken, where the sampling interval is
\( \displaystyle k = \frac{N}{n} \)
Here N = 1500 and n = 75, so
\( \displaystyle k = \frac{1500}{75} = 20 \)
So one account holder is chosen at random from the first 20 on the list, and then every 20th account holder after that.