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Context of this question is not clear because it is NOT a full question. However

when attempting to estimate an parameter such as µ using sample data when

the population standard deviation σ is unknown, we have to estimate the standard

deviation of the population using a stastitic called s where

_

Σ(x-x)²

s = ▬▬▬▬

n -1

_

and estimator for µ , in particular x

........................................._

has a standard deviation of s(x)= s/√n

and the statistic

_

x - hypothesized µ

T = ▬▬▬▬▬▬▬▬▬▬

s

has a student's T distribution with n-1 degrees of freedom

If n> 30 , then by the Central Limit Theorem, the T distribution

approaches the shape and form of the normal(gaussian) probability

distribution and the Z table may be used to find needed critical statistical

values for hypothesis tests , p-values, and interval estimates.

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Q: When the population standard deviation is not known?
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The standard deviation of the distribution of means is also known as the population standard deviation?

Yes.


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


When the population standard deviation is not known the sampling distribution is a?

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.


When the population standard deviation is known the sampling distribution is known as what?

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When the population standard deviation is known the sampling distribution is a?

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Is population standard deviation the same thing as absolute standard deviation?

No.


Can a standard deviation of a sample be equal to a standard deviation of a population?

Yes


What is the standard deviation of 157 160 161 172 165 149?

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What is the statistic that is used to estimate a population standard deviation?

the sample standard deviation


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)]


When to use z or t-distribution?

If the sample size is large (>30) or the population standard deviation is known, we use the z-distribution.If the sample sie is small and the population standard deviation is unknown, we use the t-distribution


The population standard deviation is 100?

It can be.