The standard deviation of the population. the standard deviation of the population.
Yes
No.
The true / real standard deviation ("the mean deviation from the mean so to say") which is present in the population (everyone / everything you want to describe when you draw conclusions)
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.
The standard deviation of the population. the standard deviation of the population.
68.2%
The standard deviation if the data is a sample from a population is 7.7115; if it is the population the standard deviation is 7.0396.
The standard deviation of height in the US population is approximately 3 inches.
Yes
No.
the sample standard deviation
It can be.
Not a lot. After all, the sample sd is an estimate for the population sd.
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
Yes.
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)]