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This is the Central Limit Theorem.

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15y ago

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Related Questions

When the population standard deviation is unknown the sampling distribution is equal to what?

The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.


What is the mean of the sampling distribution equal to?

The mean of the sampling distribution is the population mean.


What is the distribution of values taken by a statistic in all possible samples of equal size from the same population?

It is the sampling distribution of that variable.


What is the standard error of the sampling distribution equal to when you do not know the population standard deviation?

You calculate the standard error using the data.


What is the sampling distribution when the standard deviation is known?

When the standard deviation of a population is known, the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, due to the Central Limit Theorem. The mean of this sampling distribution will be equal to the population mean, while the standard deviation (known as the standard error) will be the population standard deviation divided by the square root of the sample size. This allows for the construction of confidence intervals and hypothesis testing using z-scores.


What is sampling procedure?

Sampling has multiple meanings depending on the domain of work:Statistics - Sampling is selecting a subset of population from within the population to estimate the characteristics of the whole population.There are two different types of Sampling Procedure;1. Probability2. Non ProbabilityProbability sampling methods ensures that there is an equal possibility for each individual in a population to get selected.Non Probability method targets specific individuals.


What is the most commonly used sampling method?

The most commonly used sampling method is simple random sampling, where every individual in the population has an equal chance of being selected for the sample. It is preferred for its simplicity and unbiased nature in representing the population.


What is the difference between sampling and random sampling?

Sampling involves selecting a subset of individuals or items from a larger population for study. Random sampling is a specific type of sampling method where each individual or item in the population has an equal chance of being selected. In random sampling, the selection of individuals is done purely by chance, reducing bias in the sample.


How can sampling error be reduced?

The best way to reduce sampling error is to use random sampling in the study. This means selecting the population to study through a random process. This will ensure that each member of the population under study has an equal chance of being selected.


How many types of random sampling?

There are several types of random sampling, with the most common being simple random sampling, stratified sampling, cluster sampling, and systematic sampling. Simple random sampling gives each member of the population an equal chance of being selected. Stratified sampling involves dividing the population into subgroups and sampling from each subgroup. Cluster sampling selects entire groups or clusters, while systematic sampling involves selecting members at regular intervals from a randomly ordered list.


What type of sampling uses a fair representation of the population?

Stratified sampling is a type of sampling that uses a fair representation of the population by dividing the population into different subgroups or strata and then selecting samples from each stratum in proportion to their size in the population. This method helps ensure that all groups in the population are adequately represented in the final sample.


When every individual in a large population has a small but equal chance of being included in a survey researchers are using a procedure known as?

Researchers are using a procedure known as simple random sampling. This involves selecting individuals at random, where every individual has an equal chance of being selected, to ensure the sample is representative of the population.