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 the standard normal distribution table

We know that the area to the left of \(z\) is \(0.8340\). We look up this value in the standard - normal distribution table (z - table). The z - table gives the cumulative probability \(P(Z\leq z)\).

Step2: Find the corresponding z - value

Looking at the body of the z - table, we search for the value closest to \(0.8340\). The value \(0.8340\) corresponds to a \(z\) - score. In the z - table, a cumulative probability of \(0.8340\) gives \(z = 0.97\)

Answer:

\(0.97\)