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What does when the sample size and degrees of freedom is sufficiently large the difference between a t distribution and the normal distribution becomes negligible mean?
Wiki User
∙ 15y ago
The t-distribution and the normal distribution are not exactly the same. The t-distribution is approximately normal, but since the sample size is so small, it is not exact. But n increases (sample size), degrees of freedom also increase (remember, df = n - 1) and the distribution of t becomes closer and closer to a normal distribution. Check out this picture for a visual explanation: http://www.uwsp.edu/PSYCH/stat/10/Image87.gif
Wiki User
∙ 15y ago
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As n increases, the distribution becomes more normal per the central limit theorem.
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According to the central limit theorem, as the sample size gets larger, the sampling distribution becomes closer to the Gaussian (Normal) regardless of the distribution of the original population. Equivalently, the sampling distribution of the means of a number of samples also becomes closer to the Gaussian distribution. This is the justification for using the Gaussian distribution for statistical procedures such as estimation and hypothesis testing.
Why does a binomial distribution become more skewed as n increases?
As n increases, the distribution becomes more normal per the central limit theorem.
Does the t distribution becomes more skewed As the degree of freedom increases?
The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.
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Molar volume is based on the volume occupied by one mole of gas molecules at a specific temperature and pressure. It is a macroscopic property and averages out the effect of individual gas particle size because the volume of the container is much larger compared to the size of gas particles. This allows molar volume to be consistent regardless of the size of the gas particles.
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The mass of the star.
