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What affects the standard error of the mean?
The standard error of the underlying distribution, the method of selecting the sample from which the mean is derived, the size of the sample.
How does one calculate the standard error of the sample mean?
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
Is the standard error of the sample mean assesses the uncertainty or error of estimation?
yes
Why does the standard error become smaller simply by increasing the sample size?
Because of the Law of Large Numbers. According to that law, the observations tends towards the mean. This increases the concentration of observations nears the mean thereby reducing the variance or standard error.
Is the sampling of error larger when the sample mean is closer to the population mean?
No.
What happens to the standard error of the mean if the sample size is decreased?
The standard error increases.
Why is the sample standard deviation used to derive the standard error of the mean?
the sample mean is used to derive the significance level.
The difference between sample mean and population mean is called the?
Sampling Error
Will a population mean and sample mean always be identical?
The sample mean will seldom be the same as the population mean due to sampling error. See the related link.
How much error between sample mean and population mean?
The answer depends on the underlying variance (standard deviation) in the population, the size of the sample and the procedure used to select the sample.
What determines size difference between sample mean and population mean?
standard error
What does the standard error mean?
For a sample of data it is a measure of the spread of the observations about their mean value.
