Question

find the indicated z - scores shown in the graph. click to view page 1 of the standard normal table. click to view page 2 of the standard normal table. the z - scores are . (use a comma to separate answers as needed. round to two decimal places as needed.)

Explanation:

Step1: Recall standard - normal table property

The total area under the standard - normal curve is 1. If the area in the two tails is given as 0.4706 each, then the area between the two z - scores is \(1-(0.4706 + 0.4706)=0.0588\). The area to the left of the negative z - score is \(\frac{1 - 0.0588}{2}=0.4706\).

Step2: Use the standard - normal table

Looking up the area 0.4706 in the body of the standard - normal table (the z - table), we find the corresponding z - score. The z - score for an area of 0.4706 is approximately \(z=\pm 1.90\).

Answer:

\(- 1.90,1.90\)