Question

find the indicated z score. the graph depicts the standard normal distribution with mean 0 and standard deviation 1. click to view page 1 of the table. click to view page 2 of the table. the indicated z score is (round to two decimal places as needed.)

Explanation:

Step1: Use the property of the standard normal distribution

The total area under the standard normal curve is \(1\). If the area to the right of \(z\) is \(0.8869\), then the area to the left of \(z\) is \(A = 1 - 0.8869=0.1131\).

Step2: Look up the \(z\) - score in the standard - normal table

We search for the value \(0.1131\) in the body of the standard - normal table (the \(z\) - table). Looking at the \(z\) - table, when we look for the closest value to \(0.1131\). The closest value in the table to \(0.1131\) corresponds to a \(z\) - score.
From the standard - normal table, the \(z\) - score corresponding to an area of approximately \(0.1131\) is \(z=- 1.21\)

Answer:

\(-1.21\)