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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.
What is the definition of central limit theorem?
The central limit theorem basically states that as the sample size gets large enough, the sampling distribution becomes more normal regardless of the population distribution.
When do you use a z - table compared with when you use a t - table?
For statistical tests based on (Student's) t-distribution you use the t-table. This is appropriate for small sample sizes - up to around 30. For larger samples (or degrees of freedom), the t-distribution becomes very close to the Standard Normal distribution so you use the z-tables.
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Does Chi-square distribution becomes more skewed as the degrees of freedom increase?
No- skewness parameter declines with increased degrees of freedom. skewness = sqrt(8/k) see link
If two bodies of different mass fall from same height will they reach at the same time?
Yes - but only if you can ignore air resistance, that is, if the objects fall for a sufficiently short time, and have a sufficiently high mass, and sufficiently small surface area, so that air resistance becomes insignificant.Yes - but only if you can ignore air resistance, that is, if the objects fall for a sufficiently short time, and have a sufficiently high mass, and sufficiently small surface area, so that air resistance becomes insignificant.Yes - but only if you can ignore air resistance, that is, if the objects fall for a sufficiently short time, and have a sufficiently high mass, and sufficiently small surface area, so that air resistance becomes insignificant.Yes - but only if you can ignore air resistance, that is, if the objects fall for a sufficiently short time, and have a sufficiently high mass, and sufficiently small surface area, so that air resistance becomes insignificant.
What is the Difference between normal and gaussian distribution?
Actually the normal distribution is the sub form of Gaussian distribution.Gaussian distribution have 2 parameters, mean and variance.When there is zero mean and unit variance the Gaussian distribution becomes normal other wise it is pronounced as Gaussian.Wrong! The standard normal distribution has mean 0 and variance 1, but a normal distribution is the same as the Gaussiand, and can have any mean and variance. Google stackexcange "what-is-the-difference-between-a-normal-and-a-gaussian-distribution"
What does slate turn into if heated and squashed?
If slate is sufficiently heated and compressed it becomes phyllite.
What is the meaning of luminous materials?
Luminous means giving off light. Any material becomes luminous if sufficiently heated.
The Central Limit Theorem is important in statistics because?
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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Because no matter how big or small the gas particle itself is they are so spread apart that its size becomes negligible
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The pH becomes lower, appoaching a level of 7 if the solution is diluted sufficiently to become almost neutral.
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An object have greater gravitational pull closer from earth. As we get farther from earth, the gravitational pull becomes weaker. That is why objects sufficiently away from the earth do not fall on it.
Is water a good conductor or insulator of electricity?
Water in its purest form is regarded almost as an insulator coz of its negligible conductivity. But due to addition of salts or impurities it becomes conducting.
Is there air as we know it beyond the earth's atmosphere?
The Earth's atmosphere gets thinner and thinner as we go away from the earth. It becomes negligible at a point in space. Beyond that, there is no atmosphere, only vaccum.
