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Area Above +Z
(A worked Problem:  Procedure explained in more detail in Chapter 7)


Suppose that a personality test has:

Mean = 200
Standard Deviation = 50

What is the proportion of people taking this test that score above 230?


I.  First you must convert the original score to a Z score.

    zformula.gif (1006 bytes)

    zpos60.gif (1186 bytes)

II.  Because the Z score is positive and we want to find the area above then:

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    A.  We can find the pink shaded area in Column 3 of Table Z

            Z = .60

            Column 3 Value = .2743

    B.  The area above a +Z score is just the Column 3 value = .2743 or 27.43%

 

Copyright © 2004 by Mark W. Vernoy