Примери за използване на Sampling distribution на Английски и техните преводи на Български
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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.
we have our sampling distribution.
we have a large sample size, the sampling distribution will be approximately normal.
we are sampling from some sampling distribution of the sample mean.
so this is your mean of your sampling distribution still.
And we know that the mean of the sampling distribution, that the means of all of your means,
you would eventually get something called the sampling distribution of the sample mean.
So the standard deviation of the sampling distribution, we have seen multiple times,
So the way I think about it is if I randomly pick a sample from the sampling distribution, what's the 99% chance, or how many-- let me think of it this way.
But maybe we should write confident that-- we are confident that the standard deviation of our sampling distribution is going to be around, instead of using this we can use our standard deviation of our sample, our sample standard deviation.
How many standard deviations away from the mean do we have to be that we can be 99% confident that any sample from the sampling distribution will be in that interval?
the mean of our sampling distribution will be the same thing as the mean of the population distribution,
then we say that the standard deviation of the sampling distribution is equal to the true standard deviation of our population divided by the square root of n.
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.
And so if we want to find the distance around this population mean that encapsulates 95% of the population or of the sampling distribution, we have to multiply 0.39 times 2.447, so let's do that.
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 this thing right over here can be re-written as our sample mean minus the mean of our sampling distribution of the sample mean divided by this thing right here-- divided by our population mean, divided by the square root of our sample size.
So the whole focus of this video is when we think about the sampling distribution, which is what we're going to use to generate our interval, instead of assuming that the sampling distribution is normal like we did in many other videos using the central limit theorem and all of that, we're going to tweak the sampling distribution.
We know that the standard deviation of our sampling distribution of this statistic of the sample mean of P1 minus the sample proportion,