F-distribution and T-Distribution

[Sasikuma]

I have this questions from my test. Can you please help...

State True or false
1.The test statistic for the difference of population variance follows an F-distribution

2.The test statistic for the difference of population means, when population
variance are unknown, follow a T-distribution


happy to collect feedback from more than 1 person so if answered please dont stop

Thanks heaps

 

[hlsmith]

what do you think the answers are and why?

 

[Sasikuma]

Hello, I do not know , Could you please clarify the 2 parts ..The answer and Why ? please

much appreciated

 

[Sasikuma]

To clarify, I know there is no distribution for difference in either the variance or the mean (F-dist is ratio of variance and T-dist estimate of mean)..so I chose false to both. but I am told this is incorrect. so seek help

Thanks