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The Standard Normal Distribution
1. Finding the area to the left of a specified z-score
Find the area to the left of
z = 1.645
(1) Choose
Calc > Probability Distributions > Normal…
(2)
Click in the
Cumulative
Probability
circle
(3)
Check to see that 0
is in the
Mean:
text box
(4)
Check to see that 1
is in the
Standard deviation:
text box
(5)
Click in the circle next to
Input constant:
and type 1.645
in the text
box
(6)
Click
OK
(Note: This procedure can be used to find the p-values of z-tests)
2.
Finding the z-score for a specified left area
Find the value of z
0
such that P( Z < z
0
) = 0.975
(1) Choose
Calc > Probability Distributions > Normal…
(2)
Click in the
Inverse Cumulative
Probability
circle
(3)
Check to see that 0
is in the
Mean:
text box
(4)
Check to see that 1
is in the
Standard deviation:
text box
(5)
Click in the circle next to
Input constant:
and type 0.975
in the text
box
(6)
Click
OK
(Note: This procedure can be find the critical value(s) of z-tests)
Exercises
(a) P(Z < 1.32) =

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