Questions: Find the z-score in each situation below. a. Find z.92

Transcript text: Find the $z$-score in each situation below. a. Find $z_{.92}$

Solution

Solution Steps

Step 1: Finding $ z_{.92} $

To find $ z_{.92} $, we need to determine the z-score such that the cumulative probability is $ 0.92 $. This means we are looking for the value of $ z $ for which the area under the standard normal curve to the left is $ 0.92 $.

Using the cumulative distribution function (CDF) of the standard normal distribution, we find:

\[ z_{.92} \approx 1.4051 \]

Final Answer

The value of $ z_{.92} $ is approximately $ \boxed{1.4051} $.

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