Question

find the value of $z_{\alpha}$.
$\alpha = 0.34$
the value of $z_{0.34}$ is $\square$. (round to two decimal places as needed.)

Explanation:

Step1: Determine the area to the left of \(z_{\alpha}\)

The area to the left of \(z_{\alpha}\) is \(1-\alpha\). Given \(\alpha = 0.34\), then the area \(A=1 - 0.34=0.66\).

Step2: Use the standard normal distribution table (z - table)

Looking up the value in the standard normal distribution table (z - table) for an area of \(0.66\). The closest value in the body of the standard - normal table to \(0.66\) is used to find the \(z\) - score.
From the standard normal table, \(z\approx0.41\)

Answer:

\(0.41\)