Question

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

(a) Separates the largest 3.2% of all z values from the others
z* =

(b) Separates the largest 0.8% of all z values from the others
z* =

(c) Separates the smallest 5.6% of all z values from the others
z* =

(d) Separates the smallest 12.1% of all z values from the others
z* =

Determine the value of z* such that it satisfies the conditions below. (Assume that the requested value of z* is positive. 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 98% of all z values from the most extreme 2%.
z* =

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

Answer 1

Answer:

Given,

a)

Separates the largest 3.2%

i.e.,

P(Z > z) = 0.032

Since from the standard normal table, we get

P(Z > 1.852) = 0.032

z = 1.852

b)

Separates the largest 0.8%

i.e.,

P(Z > z) = 0.008

Since from the standard normal table, we get

P(Z > 2.409) = 0.008

z = 2.409

c)

Separates the smallest 5.6%

i.e.,

P(Z < - z) = 0.056

Since from the standard normal table, we get

P(Z < -1.589) = 0.056

z = - 1.589

d)

Separates the smallest 12.1%

i.e.,

P(Z < -z) = 0.121

Since from the standard normal table, we get

P(Z < -1.170) = 0.121

z = - 1.170

Post the remaining question as separate post. Thank you.