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 standard normal distribution is symmetric about \(z = 0\). We need to find the \(z\) - value corresponding to the cumulative area. The cumulative area to the left of the left - hand \(z\) - score is \(0.0217\), and the cumulative area to the left of the right - hand \(z\) - score is \(1 - 0.0217=0.9783\).

Step2: Look up in z - table

Looking up the value \(0.0217\) in the body of the standard normal \(z\) - table, the corresponding \(z\) - score is approximately \(z_1=- 2.01\). Looking up the value \(0.9783\) in the body of the standard normal \(z\) - table, the corresponding \(z\) - score is approximately \(z_2 = 2.01\).

Answer:

\(-2.01,2.01\)