Question

find the value of ( z_{alpha} ).
( z_{0.39} )
( z_{0.39}=square ) (round to two decimal places as needed.)

Explanation:

Step1: Find the area to the left of \(z_{0.39}\)

The area to the left of \(z_{\alpha}\) is \(1-\alpha\). Given \(\alpha = 0.39\), the area to the left is \(1 - 0.39=0.61\).

Step2: Use the standard normal distribution table

Look up the \(z\) - value corresponding to an area of \(0.61\) in the standard normal distribution table (or use a calculator with a normal - distribution function). Using a standard normal table or a calculator (e.g., in Excel, use the formula =NORM.S.INV(0.61)), we find the \(z\) - value.

Answer:

\(z_{0.39}=0.28\)