Determine the value of z such that satisfies the conditions

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 90% of all z values from the most extreme 10%
z* =  

(c) ?z* and z* separate the middle 97.8% of all z values from the most extreme 2.2%
z* =  

(d) ?z* and z* separate the middle 82% of all z values from the most extreme 18%
z* =

Solution

(a)z(0.06/2)=Z(0.03) =1.88 (from standard normal table)

--------------------------------------------------------------------------------------------------------------

(b) z(0.1/2)=Z(0.05)=1.64(from standard normal table)

--------------------------------------------------------------------------------------------------------------

(c) Z(0.022/2) =2.29(from standard normal table)

--------------------------------------------------------------------------------------------------------------
(d) Z(0.18/2) =1.34 (from standard normal table)