Examples of using Sampling distribution in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
So this is the sampling distribution.
The sampling distribution of the sample mean.
So this is the sampling distribution.
Especially when we have a large sample size- so let me just draw a sampling distribution here.
So the sampling distribution is like this.
As a sample from the sampling distribution.
It was in 1.8 standard deviations of the sample mean-- within 1.8 of these-- of our actual mean of our sampling distribution.
And even, frankly, sampling distribution.
Now if you do a one-tailed test like this, what we're thinking about is, what we want to look at is, all right, we have our sampling distribution.
So this is the sampling distribution.
But what I want to do is first just use a simulation to understand, or to better understand, what the sampling distribution is all about.
You had your sampling distribution of the sample mean.
Now, what is the standard deviation of our sampling distribution?
So the mean of this sampling distribution right here is 0.
And the sampling distribution's standard deviation, so the standard deviation of the sampling distribution, so we could view that as one standard deviation right over there.
I'm going to do the sample-- sampling distribution of the sample mean.
So there your sampling distribution of the sample mean for an n of 1 is going to look-- I don't care how many trials you do, it's not going to look like a normal distribution.
And so then the size of the standard deviation of your sampling distribution will go down.
The mean of our sampling distribution of the sample mean is going to be 5.
And so what we're going to do is we're going to think about the sampling distribution, not for this, and not the sampling distribution for this.
Then the variance of your sampling distribution of your sample mean for an n of 20, well you're just going to take that, the variance up here-- your variance is 20-- divided by your n, 20.
Now to show that this is the variance of our sampling distribution of our sample mean we will write it right here.
So the population mean of the sampling distribution is going to be denoted with this x bar, that tells us the distribution of the means when the sample size is n.
You're never going to for example, you're never going to get 7.5 in your sampling distribution of the sample mean for n is equal to 2 because it's impossible to get a 7 and it's impossible to get an 8.
The standard deviation of our sampling distribution should be equal to the standard deviation of the population distribution divided by the square root of our sample size, so divided by the square root of 100.
We don't know the true mean of the sampling distribution, and we also don't know the true standard deviation of the sampling distribution.
So the standard deviation of our sampling distribution is going to be-- and we will put a little hat over it to show that we approximated it with-- we approximated the population standard deviation with the sample standard deviation.
So it is 2.58 times our best estimate of the standard deviation of the sampling distribution, so times 0.031 is equal to 0.0-- well let's just round this up because it's so close to 0.08-- is within 0.08 of the population proportion.
So the standard deviation of the sampling distribution, we have seen multiple times, is equal to the standard deviation-- let me do this in a different color-- is equal to the standard deviation of our original population divided by the square root of the number of samples.