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What else can I help you with?
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 statistical concept is used to explain the natural difference that exists between a sample mean and corresponding population mean?
Random 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 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.
As the sample size increase the difference between the sample mean and the population mean approaches what?
Zero
The difference between sample mean and population mean is called the?
Sampling Error
What determines size difference between sample mean and population mean?
standard error
How much error is expected between the sample mean and population mean?
0. The expected value of the sample mean is the population mean, so the expected value of the difference is 0.
Is the sampling of error larger when the sample mean is closer to the population mean?
No.
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 statistical concept is used to explain the natural difference that exists between a sample mean and corresponding population mean?
Random 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 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 does standard error mean?
Standard error (SE) measures the accuracy with which a sample statistic estimates a population parameter. It quantifies the variability of the sample mean from the true population mean, indicating how much the sample mean is expected to fluctuate due to random sampling. A smaller standard error suggests more precise estimates, while a larger standard error indicates greater variability and less reliability in the sample mean. Essentially, SE helps in understanding the precision of sample estimates in relation to the overall population.
What would a sampling error of zero mean?
The sampling error is the error one gets from observing a sample instead of the whole population. The bigger it is, the less faith you should have that your sample represents the true value in the population. If it is zero, your sample is VERY representative of the population and you can trust that your result is true of the population.
What would it mean If the sampling error was zero?
The sample consisted of the entire population.
What is the difference between calculating the sample mean and the population mean?
You calculate the actual sample mean, and from that number, you then estimate the probable mean (or the range) of the population from which that sample was drawn.
