https://file.aiquickdraw.com/mathbot/file/1729476561401rpy8kwwj.jpg

The image shows a problem asking to find the indicated *z*-score from a standard normal distribution curve. The graph highlights the area to the right of the curve, with an area of 0.9842.

To find the corresponding *z*-score for this area:

1. The total area under the standard normal curve is 1. 
2. The area to the right of the *z*-score is given as 0.9842.
3. To find the area to the left of the *z*-score (since the z-tables usually provide areas to the left), subtract the given area from 1:

\[
\text{Area to the left of } z = 1 - 0.9842 = 0.0158
\]

Now, we look up 0.0158 in the standard normal table, which corresponds to a *z*-score of approximately -2.17.

So, the indicated *z*-score is approximately **-2.17**.

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions to consider:
1. How is the area under the normal curve related to the probability?
2. What are the key properties of the standard normal distribution?
3. How do you interpret a negative *z*-score?
4. How would you calculate the *z*-score if you were given raw data, mean, and standard deviation?
5. What is the difference between a *z*-score table and a *t*-score table?

**Tip:** When using a *z*-table, remember that it typically provides the cumulative probability from the leftmost end of the distribution to the *z*-score.

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The area to the right of the curve is 0.9842.

Learn how to find the z-score corresponding to an area of 0.9842 in the standard normal distribution with mean 0 and standard deviation 1. Detailed steps are provided, including the use of a z-table. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation