In the normal process of simple random sampling (SRS), samples are almost always drawn without replacement.Why is this a problem for the assumptions involved with a true SRS?
A) Because the samples are drawn without replacement, there will never be enough samples to accurately calculate a meaningful statistic.
B) Because the samples are drawn without replacement, the process is not really random.
C) Because the samples are drawn without replacement, the samples are not truly independent, as the probability of one sample is affected by previous selections.
D) Because the samples are drawn without replacement, this creates complexity, which violates the assumption of simplicity.

Question

Quizplus · Accepted Answer

In true SRS, each sample should be independent of the others, meaning that the probability of selecting a particular sample does not depend on the selection of any other sample. However, when samples are drawn without replacement, the probability of selecting a particular sample is affected by previous selections, making the samples not truly independent. This violates one of the assumptions of a true SRS.

In the Normal Process of Simple Random Sampling (SRS), Samples