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What is the difference between population and sample distribution?

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.


What does it mean for a population to be normally distributed?

A Gaussian distribution is the "official" term for the Normal distribution. This is a probability density function, of the exponential family, defined by the two parameters, its mean and variance. A population is said to be normally distributed if the values that a variable of interest can take have a normal or Gaussian distribution within that population.


The t distribution is used to construct confidence intervals for the population mean when the population standard deviation is unknown?

It can be.


What is sampling distribution of the mean?

Thanks to the Central Limit Theorem, the sampling distribution of the mean is Gaussian (normal) whose mean is the population mean and whose standard deviation is the sample standard error.


The standard error of the mean is the standard deviation of the sampling distribution of the sample mean?

a large number of samples of size 50 were selected at random from a normal population with mean and variance.The mean and standard error of the sampling distribution of the sample mean were obtain 2500 and 4 respectivly.Find the mean and varince of the population?

Related Questions

What is the mean of the sampling distribution equal to?

The mean of the sampling distribution is the population mean.


What does the age distribution of a population mean?

The age distribution of a population is, the number of individuals of each age in the population.


What does age distribution of a population mean?

The age distribution of a population is, the number of individuals of each age in the population.


Another name for a population pyramid is what?

Another name for population pyramid is Age-Sex graphs.


What is the difference between population and sample distribution?

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.


Do population density and population distribution mean the same thing?

no


Is the Mean for distribution of means less than population mean?

No.


What will the sampling distribution of the mean be if a population is normally distribution?

Also normally distributed.


Why is the mean of the distribution of means the same as the mean of the population of individuals?

i agree


The mean of a sampling distribution is equal to the mean of the underlying population?

This is the Central Limit Theorem.


What does it mean for a population to be normally distributed?

A Gaussian distribution is the "official" term for the Normal distribution. This is a probability density function, of the exponential family, defined by the two parameters, its mean and variance. A population is said to be normally distributed if the values that a variable of interest can take have a normal or Gaussian distribution within that population.


The t distribution is used to construct confidence intervals for the population mean when the population standard deviation is unknown?

It can be.

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