And to do that we have to figure out the distribution of the sampling mean.

为此，我们必须弄清楚抽样均值的分布。

" sampling" means I'm recording all the words she says.

" 取样" 指我把她说的每一句录制下来。

We've figured out an estimate for the-- and remember, this is just a sampling mean.

我们已经计算出 - 请记住，这只是一个抽样平均值。

So this is our distribution, this right here is our sampling mean.

所以这是我们的分布，这就是我们的抽样平均值。

So when we get our sample mean we are sampling from the sampling distribution of the sampling mean.

所以当我们得到我们的样本均值时，我们是从抽样均值的抽样分布中抽样。

And so what is the probability that a random sampling mean is going to be two standard deviations?

那么随机抽样均值是两个标准差的概率是多少？

Because here we have this confidence interval for this weird mean of the difference between the sampling means.

因为这里我们有这个采样平均值之间差异的奇怪平均值的置信区间。

This is also the same thing as the mean of the sampling distribution of the sampling mean is in that interval.

这也和抽样均值的抽样分布的均值在那个区间是一回事。

This, right here-- if we can just get our notation right-- this is the mean of the sampling distribution of the sampling mean.

这个，就在这里——如果我们的符号正确的话——这就是抽样均值的抽样分布的均值。

This thing right over here, the mean of the difference of the sampling means, we saw two or three videos ago.

这东西就在这里，采样方式不同的平均值， 我们之前看过两三个视频。

Because this is our best estimator for this standard deviation, and if we divide it by 10, we will have our best estimator for the standard deviation of the sampling distribution of the sampling mean.

因为这是我们对这个标准差的最佳估计量，如果我们将它除以 10，我们将得到我们对抽样均值的抽样分布的标准差的最佳估计量。

We're just confident that there's a 95% chance that our random population, our random sampling mean right here, so that 2.34, which we can kind of use-- we just picked that 2.34 from this distribution right here.

我们只是确信我们的随机总体、 我们的随机抽样有 95%的机会意味着 2. 34，我们可以使用它— — 我们刚刚从这里的分布中选择了 2. 34。

And I really want to emphasize, you can't say with certainty that there is a 95% chance that the true result will be within 10% of this, because we had to estimate the standard deviation of the sampling mean.

我真的想强调，你不能肯定地说真实结果有 95% 的可能性在 10% 以内， 因为我们必须估计抽样均值的标准差。