Formatting Text based on numeric values in the next column

I am wondering if it is possible to format a cell that contains text - based on a number in the cell next to it. Here is what I have:

Category......Mean
Results.........3.3
Morale..........3.8
Buy-In..........4.0

I would like the word 'Results' to display in BLACK text because the mean score is in the range 3.0-3.9 (same goes for the word 'Morale')
I would like the word 'Buy-In' to disply in GREEN text because the mean score is in the range 4.0-5.0

Basically, the mean scores are calculated using formulas and I would like the color of the category to change based on the mean score number.

Is there a way to use conditional formatting to do this? Or another way to automatically make this work?

File is attached.
Thanks!
Sarah

cf formula is
condition 1

=AND($B1>=3,B1<4) black
condition 2
=AND($B1>=4,B1<5) green
for yours select a34 to a40
and use

=AND($B34>=3,$B34<4)
but i must point out that b37 does not = 4 it is really 3.975
so use
=AND(ROUND($B34,1)>=3,ROUND($B34,1)<4) then b37 wil be treated as 4