00:01
For this problem, we are told that, as we have seen, bootstrap distributions are generally symmetric and bell -shaped and centered at the value of the original sample statistic.
00:08
However, strange things can happen when the sample size is small and there is an outlier present.
00:13
We are asked to use stat key or other technology to create a bootstrap distribution for the standard deviation based on the following data.
00:20
So i'll note that there's a miscopy here.
00:22
It should be 810, 7, 12, 13, 8, 10, 50.
00:26
We're then asked to describe the shape of the distribution.
00:28
Is it appropriate to, or ask, is it appropriate to construct a confidence interval from this distribution, and to explain why the distribution might have the shape it does? so, let's go over to statkey.
00:42
We want to go to, in this case, confidence interval for single mean, median, or standard deviation.
00:49
We want bootstrap dot plot of standard deviation.
00:53
We go to edit data.
00:55
We can type it in our cells directly.
00:59
And let's just call it data and it was 8, 10, 7, 12, 13, 8, 10, 50.
01:10
Then let's generate 1 ,000 samples.
01:13
And we can see that we have this huge, huge amount of variation at very least in the distribution.
01:22
And we can see that it is most certainly not bell -shaped nor symmetric.
01:28
So let's see here.
01:34
We can see that in terms of the shape of the distribution, we have essentially one, two, three, and four different regions, effectively...