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The variance of the estimate for the mean would be reduced.

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Will the sampling distribution of x ̅ always be approximately normally distributed?

The sampling distribution of the sample mean (( \bar{x} )) will be approximately normally distributed if the sample size is sufficiently large, typically due to the Central Limit Theorem. This theorem states that regardless of the population's distribution, the sampling distribution of the sample mean will tend to be normal as the sample size increases, generally n ≥ 30 is considered adequate. However, if the population distribution is already normal, the sampling distribution of ( \bar{x} ) will be normally distributed for any sample size.


How do you calculate the mean of the sampling distribution of the sample proportion?

i dont no the answer


The distribution of sample means consists of?

A set of probabilities over the sampling distribution of the mean.


Why you need sampling distribution?

in order to calculate the mean of the sample's mean and also to calculate the standard deviation of the sample's


When the population standard deviation is not know the sampling distribution is a?

When the population standard deviation is not known, the sampling distribution of the sample mean is typically modeled using the t-distribution instead of the normal distribution. This is because the t-distribution accounts for the additional uncertainty introduced by estimating the population standard deviation from the sample. As the sample size increases, the t-distribution approaches the normal distribution, making it more appropriate for larger samples.

Related Questions

A sample of 24 observations is taken from a population that has 150 elements The sampling distribution of the mean is?

A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is


Will the sampling distribution of x ̅ always be approximately normally distributed?

The sampling distribution of the sample mean (( \bar{x} )) will be approximately normally distributed if the sample size is sufficiently large, typically due to the Central Limit Theorem. This theorem states that regardless of the population's distribution, the sampling distribution of the sample mean will tend to be normal as the sample size increases, generally n ≥ 30 is considered adequate. However, if the population distribution is already normal, the sampling distribution of ( \bar{x} ) will be normally distributed for any sample size.


Is the standard deviation of the sampling distribution of the sample mean is o?

NO


How do you calculate the mean of the sampling distribution of the sample proportion?

i dont no the answer


The distribution of sample means consists of?

A set of probabilities over the sampling distribution of the mean.


What is the difference between a population distribution and sampling distribution?

Population distribution refers to the patterns that a population creates as they spread within an area. A sampling distribution is a representative, random sample of that population.


When the population standard deviation is not known the sampling distribution is a?

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.


What will be the sampling distribution of the mean for a sample size of one?

It will be the same as the distribution of the random variable itself.


What is the difference between population distribution and sample distribution an d sampling distribution?

you can figure it out by going to google and googling it


As the sample size increases the standard deviation of the sampling distribution increases?

No.


What happens to the sampling error when the sample size is increased?

It is reduced.


How does sampling distribution work in statistics?

Sampling distribution in statistics works by providing the probability distribution of a statistic based on a random sample. An example of this is figuring out the probability of running out of water on a camping trip.