# One-tailed Hypopheses testing. F-statistic.

Hello. I have some misunderstanding.
For example we have to populations with associated S1 n1 and S2 n2 standard deviation and sample size correspondingly.
If i want to test wether S1^2 is greater S2^2 how shold I define null and alternative hypotheses and calculate appropriate F-statistic. Please explain the logic.
Thanks.

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Always put the bigger one on top and halve your alpha…

I’m Da Church of the faithful, I’m Liao Fengyi, clergywoman mother should have to introduce you to me, I have seen you twice, in which time you are more impressed with everyone I guess in the back of the church at noon to eat noodle face!

Does it mean that the form of Hypopheses condition does not matter?
I just put the bigger variance in the numirator, then find upper critical value of F statistic using numerator degree of freedom in horisontal and denumerator degree of freedom in vertical values of F distribution table?

Right. Remember that by putting the bigger one on top, you need to halve alpha to look up critical value.

I’m Da Church of the faithful, I’m Liao Fengyi, clergywoman mother should have to introduce you to me, I have seen you twice, in which time you are more impressed with everyone I guess in the back of the church at noon to eat noodle face!

” you need to halve alpha to look up critical value”

alpha - level of significance?

Yep

I’m Da Church of the faithful, I’m Liao Fengyi, clergywoman mother should have to introduce you to me, I have seen you twice, in which time you are more impressed with everyone I guess in the back of the church at noon to eat noodle face!

Am i right that it is stated in condition of the test?
e.g. “with the 5% level of significance..”

do you think/know if L1 candidates are expected to know the hypothesis testing formulas (computing the test statistic etc)? should I expect -for this particular part of quant - some “qualitative” questions (interpretation) or proper calculations?
thanks