Help is needed about statistics

There were 2 research groups in the study.

The authors studied 2 variables A and B.

They announced that there was correlationship between A and B (P<0.05).

There was significant difference of variable A between these 2 groups (P<0.05).

But there was NOT difference of variable B between these 2 groups (P>0.05).

These resulsts seem a little ridiculous to us.

I am not expert in statistics and mathmatics.

So I would like to know whether there is anyone I can get some help.

Thanks.

Thank you, Mr. or Mrs. meymathis

We tried several place to seek for clues to the puzzles.

Thank you very much for your opinions.

We will read it carefully.

Thanks.(Talking)