Variability , Screen 12

It is mentioned that :

In the diagram below, we will:

  • Take all possible samples of size n=2 from the population [0,3,6] with σ**2=6.

  • Compute the sample variance s**2 for each sample.

The samples table shows different samples ie; no samples are same. Is this possible using Simple Random Sampling.

Hey there!

I might not be understanding you correctly here — are you asking if it’s possible to find all the possible samples from a population without duplicating an already existing sample using SRS? It would be possible if you sampled without replacement, but I’m not entirely clear how that would be relevant to this particular screen.

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