Question

Find the z-score location of a vertical line that separates anormal distribution as described in each of the following.a. 15% in the tail on the rightb. 40% in the tail on the leftc. 75% in the body on the rightd. 60% in the body on the left

Answer 1

a. z = 1.0364

b. z = -0.2533

c. z = -0.6745

d. z = 0.2533

Step-by-step explanation:

We can represent each option with the following diagrams

So, for each option, we need to find a z that satisfies the following

a. P(Z > z) = 0.15

b. P(Z < z) = 0.40

c. P(Z > z) = 0.75

d. P(Z > z) = 0.60

Then, using a normal table distribution, we get that each value of z is

a. z = 1.0364

b. z = -0.2533

c. z = -0.6745

d. z = 0.2533