the standard error will be 1
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.
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The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger — no matter what the shape of the population distribution. This fact holds especially true for sample sizes over 30.
always zero
There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.There is no such thing as "the usual sampling distribution". Different distributions of the original random variables will give different distributions for the difference between their means.
A set of probabilities over the sampling distribution of the mean.
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
the central limit theorem
the standard error will be 1
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.
the sampe mean cannot be comoputed
The answer depends on the population and is described by the sampling distribution of the mean.
sample is a noun. sampling is a verb. Statistically speaking, a sample is where we gather and examine part of a population. A sampling is where we take the means of samples in order to gather info about the whole...
Sampling distribution is the probability distribution of a given sample statistic. For example, the sample mean. We could take many samples of size k and look at the mean of each of those. The means would form a distribution and that distribution has a mean, a variance and standard deviation. Now the population only has one mean, so we can't do this. Population distribution can refer to how some quality of the population is distributed among the population.
actually montecarlo is based on random selection (of cours randamness is expected to be random means to cover tjhe whole interval so the more the better )along the CDF(cumilative distribution function ) to extract the input that expected to keep the original distribution to some degree. in latin hypercube this extraction of input has been made uniform along the CDF so we can ensure the recreation of the original distribution in the extracted sample of inputs. hypercube is enhancement of montecarlo sampling . and it is much better in low density sampling means low number of iteration . high number of iterartion both methodes are good they tend to be the same .
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