Questions: Find the value of (zalpha). (alpha=0.34) The value of (z0.34) is (Round to two decimal places as needed.)

Transcript text: Find the value of $z_{\alpha}$. \[ \alpha=0.34 \] The value of $z_{0.34}$ is $\square$ (Round to two decimal places as needed.)

Solution

Solution Steps

To find the value of $ z_{\alpha} $ for a given $\alpha$, we need to determine the z-score that corresponds to the cumulative probability $\alpha$ in the standard normal distribution. This can be done using statistical functions that provide the inverse of the cumulative distribution function (CDF) for the normal distribution.

Step 1: Determine $ z_{\alpha} $

To find the value of $ z_{\alpha} $ for $ \alpha = 0.34 $, we need to identify the z-score that corresponds to the cumulative probability of $ 0.34 $ in the standard normal distribution.

Step 2: Calculate $ z_{0.34} $

The calculated value of $ z_{0.34} $ is approximately $ -0.4125 $. Rounding this to two decimal places gives us $ -0.41 $.