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Math

Math Snap

PROBLEM

Arrange in order the steps required to obtain a systematic random sample.
(i) Instructions
Divide the population size by the sample size and round down, calling the result kk.
Select every kk th population unit thereafter.
Randomly select one of the first kk population units as the starting point.

STEP 1

1. The population size and sample size are known.
2. The goal is to obtain a systematic random sample from the population.

STEP 2

1. Calculate the interval size k k .
2. Randomly select a starting point.
3. Select every k k -th unit from the starting point.

STEP 3

Calculate the interval size k k by dividing the population size by the sample size and rounding down.
k=Population SizeSample Size k = \left\lfloor \frac{\text{Population Size}}{\text{Sample Size}} \right\rfloor

STEP 4

Randomly select one of the first k k population units as the starting point.

SOLUTION

Select every k k -th population unit thereafter to form the sample.

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