Prove that average reduces Variance
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Prove that average reduces Variance
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- How to determine the appropriate tool when the variance is known, variance is unknown and when the central limit theorem is used.Assume that the population consists of only these eleven data points for y and z. Construct one sample for y and one another sample for z by using 5 data points which gives the maximum variance.If you still have some time, you can add your reviews about the contribution of Bessel’s Correction to the variance. Why do we use such correction and can the variance of any possible sample be larger than the variance of the population?When conducting a t-test for independent samples we have 2 ways of computing the variance. One way is to compute the variance for each sample, but this only works if the samples are the same size. If the samples are different sizes, we use a different equation. What is this variance equation that should be used if the two samples are not the same size?