Let z denote a variable that has a standard normal distribut

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the conditions below. (Round all answers to two decimal places.)

(a) P(z < z*) = 0.0256
z* =  

(b) P(z < z*) = 0.0097
z* =  

(c) P(z < z*) = 0.0506
z* =  

(d) P(z > z*) = 0.0199
z* =  

(e) P(z > z*) = 0.0097
z* =  

(f) P(z > z* or z < -z*) = 0.1967
z* =

Solution

a) P(z

z* = invNorm(0.0256) = -1.95

b) P(z

z* = invNorm(0.0097) = -2.34

c) P(z

z* = invNorm(0.0506) = - 1.64

d) P(z>z*) = 0.0199

z* = invNorm(1-0.0199) = 2.06

e)P(z>z*) = 0.0097

z* = invNorm(1-0.0097) = 2.34

f) P(z > z* or z< -z*) = 0.1967

z* = invNorm(0.1967/2) = -1.29