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Suppose That xx Is a Normally Distributed Variable on Each of Two Populations

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Suppose that xx is a normally distributed variable on each of two populations. Independent samples of sizes n1n _ { 1 } and n2n _ { 2 } , respectively, are selected from the two populations.The standard deviation of all possible differences between the two sample means equals the square root of the difference of the population variances each divided by the corresponding sample size.


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