Find the indicated critical value.
z 0.11
Click to view page 1 of the table.LOADING... Click to view page 2 of the table.LOADING...
Question content area bottom
Part 1
z 0.11equals
  
0.11
​(Round to two decimal places as​ needed.)

To find the critical value for **z** corresponding to **0.11**, you need to determine the **z-score** such that the area to the right of the z-score is 0.11.

1. First, recognize that the area to the right of a z-score is the complement of the cumulative probability to the left. So, the area to the left is:
   \[
   1 - 0.11 = 0.89
   \]
2. Now, using the standard normal distribution table (z-table) or a calculator, find the z-score corresponding to a cumulative probability of **0.89**.

By checking the z-table or using a calculator:

The **z-score** corresponding to an area of 0.89 is approximately **1.23**.

Thus, the critical value for **z 0.11** is approximately **1.23** (rounded to two decimal places).

---

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

Here are five related questions to expand your understanding:

1. What is a critical value in statistics?
2. How can you use a z-table to find z-scores for different areas?
3. How is the area under a normal distribution curve related to probability?
4. What is the relationship between z-scores and confidence intervals?
5. How do you interpret z-scores in the context of hypothesis testing?

**Tip:** Always subtract the given area from 1 if you're looking for a right-tail z-score.

Find the indicated critical value.
z 0.11
Click to view page 1 of the table.LOADING... Click to view page 2 of the table.LOADING...
Question content area bottom
Part 1
z 0.11 equals 0.11 (Round to two decimal places as needed.)

Learn how to find the critical z-value for an area of 0.11 using standard normal distribution tables. This solution explains how to calculate the z-score for a right-tailed area by subtracting from 1 and finding the cumulative probability. Suitable for high school students in Grades 11-12 studying statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation