Question

Determine the value of z* such that satisfies the conditions below. (Round your answers to two decimal places.)

(a) −z* and z* separate the middle 94% of all z values from the most extreme 6%
z* =  

(b) −z* and z* separate the middle 85.3% of all z values from the most extreme 14.7%
z* =  

(c) −z* and z* separate the middle 97% of all z values from the most extreme 3%
z* =  

(d) −z* and z* separate the middle 92% of all z values from the most extreme 8%
z* =

Answer 1

a)
Here we need find the z-value for the area which covers 0.03 area in right/left tail of the normal curve

-1.8808 and 1.8808

b)
14.7% = 0.147
0.147/2 = 0.0735

Here we need find the z-value for the area which covers 0.0735 area in right/left tail of the normal curve

-1.4502 and 1.4502

c)
3% = 0.03
0.03/2 = 0.015

Here we need find the z-value for the area which covers 0.015 area in right/left tail of the normal curve

-2.1701 and 2.1701

d)
8% = 0.03
0.08/2 = 0.04

Here we need find the z-value for the area which covers 0.04 area in right/left tail of the normal curve

-1.7507 and 1.7507