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the sample mean is used to derive the significance level.

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βˆ™ 2017-06-27 15:17:26
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Q: Why is the sample standard deviation used to derive the standard error of the mean?
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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.


Why is standard deviation of a statistic called standard error?

The standard error is the standard deviation divided by the square root of the sample size.


How do i find sample standard deviation from population standard deviation?

If the population standard deviation is sigma, then the estimate for the sample standard error for a sample of size n, is s = sigma*sqrt[n/(n-1)]


Why is the standard error a smaller numerical value compared to the standard deviation?

Let sigma = standard deviation. Standard error (of the sample mean) = sigma / square root of (n), where n is the sample size. Since you are dividing the standard deviation by a positive number greater than 1, the standard error is always smaller than the standard deviation.


If the standard error of a sample of 48 is equal to 14.25 the standard deviation is equal to?

98.73


If standard deviation 20 and sample size is 100 then standard error of mean is?

2


What is the difference between standard error of mean and standard deviation of means?

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.


When we know the population mean but not the population standard deviation which statistic do we use to compare a sample to the population?

The sample standard error.


What is the sample size for standard deviation?

There is no such thing. The standard error can be calculated for a sample of any size greater than 1.


What is the value of the standard error of the sample mean?

The sample standard deviation (s) divided by the square root of the number of observations in the sample (n).


What is the standard error if the population standard deviation is 100 and the sample size is 25?

Formula for standard error (SEM) is standard deviation divided by the square root of the sample size, or s/sqrt(n). SEM = 100/sqrt25 = 100/5 = 20.


What combination of factors will produce the smallest value for the standard error?

A small sample and a large standard deviation

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