Question

find the indicated z score. the graph depicts the standard normal distribution with mean 0 and standard deviation 1. the indicated z score is (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 to the left of \(z = 0\) is 0.5. Given the area to the right of \(z\) is 0.9049, then the area to the left of \(z\) is \(A=1 - 0.9049=0.0951\).

Step2: Look up in z - table

We look up the value 0.0951 in the body of the standard - normal (z -) table. The closest value in the standard - normal table to 0.0951 gives us the z - score. Looking up in the z - table, the z - score corresponding to an area of 0.0951 is approximately \(z=-1.31\).

Answer:

\(-1.31\)