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In simple random sampling, all samples of a given size are equally likely. Is that true in systematic random sampling? Explain your answer.

Short Answer

Expert verified

No. It is not true in the case of systematic random sampling.

Step by step solution

01

Step 1. Given information.

The statement given in the question is "In simple random sampling, all samples of a given size are equally likely." We have to tell if it is also true for systematic random sampling.

02

Step 2. Explanation.

All samples are equally likely in simple random sampling since they all have an equal chance of being included in the sample.

We divide the population size by the sample size and indicate the rounded number as m in systematic sampling, and then choose a random number between 1 and m in simple random sampling.

As a result, with systematic sampling, all samples are not equally likely.

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