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


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.


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.


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.


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 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).


The mean and standard deviation of a population being sampled are 64 and 6 respectively. If the sample size is 50 what is the standard error of the mean?

0.75


A simple random sample of 64 observations was taken from a large population The sample mean and the standard deviation were determined to be 320 and 120 respectively The standard error of the mean you?

15


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.


True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?

True.


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

Standard error A statistical measure of the dispersion of a set of values. The standard error provides an estimation of the extent to which the mean of a given set of scores drawn from a sample differs from the true mean score of the whole population. It should be applied only to interval-level measures. Standard deviation A measure of the dispersion of a set of data from its mean. The more spread apart the data is, the higher the deviation,is defined as follows: Standard error x sqrt(n) = Standard deviation Which means that Std Dev is bigger than Std err Also, Std Dev refers to a bigger sample, while Std err refers to a smaller sample


What is the estimated population mean with a sample of 36 and a standard deviation of 0.03?

What is the sample mean?

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