this is a long time ago use this distribution in the calculation so you can do a lot of times when you're doing a chi-square critical value it'll usually be right tail like if you're doing a goodness of fit test or a categorical Association test it's right tail but if we were using it for variance confidence interval we'd want to actually click to tail it works just like the other ones notice in variance because that's what it gets his name chi-square its squared values so it's never negative so you can see how zeros over here never goes to negative it's positive values because you're squaring things and adding it up so my lower limit critical value is eight point nine zero seven four nineteen degrees of freedom and 95% confidence and my upper limit would be thirty two point eight five two and those numbers would be used in the one population confident a variance confidence interval and then you could change it to ninety or ninety nine if you wanted so if I did ninety nine there now I got those two so I notice they're both positive the lower limit is six point eight four three upper lip the I'm sorry the lower critical value is six point eight four three and the upper critical value is thirty eight point five eight three these are not the these are not confidence intervals these are critical values okay well that does it that just gives you a quick tour about how to calculate confident critical values for confidence levels and confidence intervals in using stat key all right so this is Matt to show intro stats and I will see you all next time