Question

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

Explanation:

Step1: Use z - table property

The total area under the standard - normal curve is 1. The area in the two tails is 0.0244+0.0244 = 0.0488. The area between the two z - scores is 1 - 0.0488=0.9512. The area to the left of the left - hand z - score is $\frac{0.0488}{2}=0.0244$, and the area to the left of the right - hand z - score is $1 - \frac{0.0488}{2}=0.9756$.

Step2: Look up in z - table

Looking up the area 0.0244 in the standard normal (z) table, the corresponding z - score is approximately $z_1=- 1.96$. Looking up the area 0.9756 in the standard normal (z) table, the corresponding z - score is approximately $z_2 = 1.96$.

Answer:

-1.96, 1.96