The hypothesis testing about how to tell χ~2 distribution and F distribution

The image of χ2 distribution's density function and F distribution's density function are the skewness distribution of non-negative member.However,the image of the two density function are similar,so the images of their distribution function and empirical distribution function are similar too.For a group of data collected from χ2 distribution or F distribution,it is difficult to judge where they are from if use the usual way of making image about empirical distribution function.Proposed a scientific method of the hypothesis testing to distinguish F distribution and χ2 distribution.