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 (z - table)

The area to the left of \(z\) is \(0.8340\). We look for the value in the body of the standard normal table that is closest to \(0.8340\).

Step2: Locate the \(z\) - score

Looking at the standard normal table:

• The \(z\) - table gives the cumulative probability \(P(Z\leq z)\).
• For a cumulative probability of \(0.8340\), we find that \(z = 0.97\) (by looking at the row and column headers of the \(z\) - table. The row for \(0.9\) and the column for \(0.07\) gives a cumulative probability of \(0.8340\))

Answer:

\(0.97\)