SOLUTION: 2. Using the unit normal table, find the proportion under the standard normal curve that lies in the tail for each of the following: a. z = 1.00 b. z = -1.05 c. z = 0 d. z =

Algebra ->  Probability-and-statistics -> SOLUTION: 2. Using the unit normal table, find the proportion under the standard normal curve that lies in the tail for each of the following: a. z = 1.00 b. z = -1.05 c. z = 0 d. z =       Log On


   



Question 1072652: 2. Using the unit normal table, find the proportion under the standard normal curve that lies in the tail for each of the following:
a. z = 1.00
b. z = -1.05
c. z = 0
d. z = 2.80
e. z = 1.96

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

I'll just do e.  Hopefully you can do the others by yourself.
They're all similar.

There are several different kinds of standard normal tables.  
If yours is like this one, 

http://math.arizona.edu/~rsims/ma464/standardnormaltable.pdf

Which has negative and positive values for z. (Be sure to scroll 
all the way down to see the whole table:

then for z=1.96

Find 1.9 in the z-column on the left, go horizontally across from there
to what's below the column headed .06

That number that you read is .97500. But that's not the answer.
That's the area to the left of 1.96.  To get the area to the right
of 1.96, which is in the tail you must subtract from 0.5 and get 
1.0-0.97500 and get 0.02500. 

A shortcut is to realize that because the normal curve is
symmetrical, and therefore the area to the right of +1.96 is the same as 
the area to the left of -1.96.  So just go to -1.9 and across under .06
and read 0.02500 directly. 


If you have this kind of table:

http://www.mathsisfun.com/data/standard-normal-distribution-table.html

which has z=0 and 0.00000 in the upper left corner. (Scroll down to the
table).

Find 1.9 in the z-column on the left, go horizontally across from there
to what's below the column headed 0.06

That number that you read is 0.4750. But that's not the answer.
That's the area between the middle of the curve and 1.96.  To get the
area to the right of 1.96, which is in the tail you must subtract from 
0.5 and get 0.5-0.4750 and get 0.0250. 

Edwin