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... definition of a chi-squared distribution with two degrees of freedom) a random sample of size 1000 from a χ2(2) distribution. Similarly, adding the squares of the first three columns gives a random sample from a χ2(3) distribution, and forming the column (st1)2+(st2)2+ (st3)2+(st4)2 yields a random ...
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... properties of the shape, mean, and standard deviation of the sampling distribution of the mean for samples taken from a distribution that is decidedly not normal. It involves a lot of repeated random sampling to create distributions of means for different sample sizes. Because Fathom automates the s ...
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Populations and samples - The University of Reading

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... approximately 0.2399, which is fairly high. The sample data, therefore, does not provide us with sufficient information doubt the claim. The distribution of X is given to be approximately normal. The ratio n/N = (50/400) is greater than 0.05. Hence, we shall use finite correction factor. Thus, if th ...
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... develop the idea that it is n, the absolute size of the sample, and not n/N, the size of the sample relative to the population, that determines the dispersion of the sample results. I have found it useful to have students compare the graphs in three different ways. First, I have them increase the sa ...
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Taylor's law

Taylor's law (also known as Taylor’s power law) is an empirical law in ecology that relates the variance of the number of individuals of a species per unit area of habitat to the corresponding mean by a power law relationship.
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