Question

Draw a vertical line through a normal distribution for each of the following z-score locations. Determine whether the tail is on the right or left side of the line and find the proportion in the tail.

a. z+1.00
b. z=0.50
c. Z=-1.25
d. z=-0.40

Answer 1

To draw a vertical line through a normal distribution for each z-score location, we need to determine the tail side and the proportion in the tail on the right or left side of the line for each z-score.

Step-by-step explanation:

To draw a vertical line through a normal distribution for each z-score location, we need to find the proportion in the tail on the right or left side of the line. Let's analyze each z-score:

a. For z = 1.00, the tail is on the right side of the line. The proportion in the tail is 0.1587.

b. For z = 0.50, the tail is on the right side of the line. The proportion in the tail is 0.3085.

c. For z = -1.25, the tail is on the left side of the line. The proportion in the tail is 0.1056.

d. For z = -0.40, the tail is on the left side of the line. The proportion in the tail is 0.3446.