Question #191317

If a population with size 3 has a standard deviation of 2.4, what is thestandard deviation of the sampling distribution of its means? The sampling distribution has a sample size of 2 and all possible samples are drawn without replacements. 


1
Expert's answer
2021-05-11T09:07:02-0400

We have given,


n=3n = 3


σ=2.4\sigma = 2.4


σxˉ=σn\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}


σxˉ=2.43\sigma_{\bar x} = \dfrac{2.4}{\sqrt{3}}


σxˉ=1.38\sigma_{\bar x} = 1.38



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