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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