Find the z-score location of a vertical line that separates a normal distributio

Question

Find the z-score location of a vertical line that separates a normal distribution as described in each of the following. a. 5% in the tail on the left b. 30% in the tail on the right c. 65% in the body on the left d. 80% in the body on the right Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 30% from the 70% in the tails. b. The middle 40% from the 60% in the tails. c. The middle 50% from the 50% in the tails. d. The middle 60% from the 40% in the tails.

Explanation / Answer

9. a) 5% in the tail on the left

The z-score -1.645 has 0.05 area to its left so location of vertical bar should be at -1.645.

b)30% in the tail on the right

The z-score 0.52 has 0.70 area to its left so 0.30 area to its right. That is location of vertical bar should be at 0.52.

c)65% in the body on the left

The z-score 0.38 has 0.65 area to its left. That is location of vertical bar should be at 0.38.

d)80% in the body on the right

The z-score -0.85 has 0.20 area to its left so 0.80 area to its right. That is location of vertical bar should be at -0.85

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