Question

find the indicated critical value.
z0.03
click to view page 1 of the table. click to view page 2 of the table.
z0.03 =
(round to two decimal places as needed.)

Explanation:

Step1: Understand the concept of critical value

The critical value \(z_{\alpha}\) is the value such that the area to the right of \(z_{\alpha}\) under the standard normal curve is \(\alpha\). Here, \(\alpha = 0.03\).

Step2: Use the property of the standard normal distribution

Since the total area under the standard - normal curve is \(1\), the area to the left of \(z_{0.03}\) is \(1 - 0.03=0.97\).

Step3: Look up the value in the standard - normal table

Looking up the \(z\) - value corresponding to an area of \(0.97\) in the standard - normal table (or using a calculator with a normal - distribution function, e.g., in Excel, using the formula =NORM.S.INV(0.97)). The \(z\) - value is approximately \(1.88\).

Answer:

\(1.88\)