There are two kinds of normal z-tables around these days. The
most common type gives areas from the middle z=0 to the right
and others give the area from the extreme left to the right.
I will assume first that you have the first type, that reads
from z=0 to the right. I'll explain below what to do if you
have the other type as well as how to find it on a TI-83 or
TI-84 graphing calculator.
=
—
AREA BETWEEN z=1.5 & z=2.5 = AREA BETWEEN z=0 & z=2.5 — AREA BETWEEN z=0 & z=1.5
If you have a table which gives the area between
z=0 and z="whatever",
AREA BETWEEN z=0 and z=2.50 is given in the table as .4938
AREA BETWEEN z=0 and z=1.50 is given in the table as .4332
therefore:
AREA BETWEEN z=1.5 & z=2.5 = .4938 — .4332 = .0606
If you have the other kind of table those values will
be .9938-.9332=.0606, the same answer.
If you have a TI-83 or TI-84 calculator and your teacher will
let you use it,
From the cleared main screen
Press 2ND
Press VARS
Press 3
you will see this on the screen --> invNorm(
after that type 1.5,2.5) so that you see this on the
screen ---> invNorm(1.5,2.5)
[If you can't find the comma key it is the key just to
the right of the x2 key].
Press ENTER
You will see .0605975489, which rounds to the value .0606
Edwin