# Give a full and correct answer what is inference concerning the ration of two populations?

Give a full and correct answer what is inference concerning the ration of two populations?
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Laaibah Pitt

Inference about ratio of 2 variances let the hypotesis be:

$⇒$We are testing whethes the two population have same variance of not. This so tested using F-test as we can test

Here we are testing whethes population 1 has highes variance or not. or we can test

Test statistic, we use here is $F=\frac{r\frac{{S}_{1}\left\{2\right\}}{{\sigma }_{1}\left\{2\right\}}}{{S}_{2}\left\{2\right\}}\left\{{\sigma }_{2}\left\{2\right\}\right\}\right\}\sim {F}_{{n}_{1}-1,{n}_{2}-1}$ where ${S}_{i}$ denote sample variance of ${i}^{th}$ population , denote sample size of ${i}^{th}$ population.