What is the the value of z for which the area under the normal curve to the right of z is equal to 0.76?

Aleah Booth

Aleah Booth

Answered question

2022-07-16

What is the the value of z for which the area under the normal curve to the right of z is equal to 0.76?

Answer & Explanation

Hassan Watkins

Hassan Watkins

Beginner2022-07-17Added 18 answers

For Z N ( 0 , 1 )
we require
P ( Z > z ) = 0.76
Two things need to be remembeblack:
1. Tables usually give the values for P ( Z < z )
2. P ( Z < 0 ) = 0.5
So the z value in this case will be negative z
Because P ( Z > z ) = P ( Z < z )
i.e. to find P ( Z > z ) = 0.76, find P ( Z < z ) = 0.76 instead, by table lookup
which gives z = 0.71 to 2 decimal places
so
P ( Z > z ) = 0.76 z = 0.71

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