Find the critical value(s) and rejection region(s) for the type of z-test with level of signi answer. Two-tailed test, a = 0.005 The critical value(s) is/are z= (Round to two decimal places as needed, Use a comma to separate answers as need
Find the critical value(s) and rejection region(s) for the type of z-test with level of signi answer. Two-tailed test, a = 0.005 The critical value(s) is/are z= (Round to two decimal places as needed, Use a comma to separate answers as need
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![**Text Transcription for Educational Website:**
---
**Title: Understanding Critical Values and Rejection Regions in Z-Tests**
**Objective:**
Learn how to find the critical value(s) and rejection region(s) for a two-tailed z-test with a specified level of significance (α).
---
**Task:**
Find the critical value(s) and rejection region(s) for the type of z-test with level of significance α. Include a graph with your answer.
**Given:**
- Two-tailed test, α = 0.005
---
**Process:**
1. **Identify the Critical Values:**
- The critical value(s) is/are z = [ ]
*Note: Round to two decimal places as needed. Use a comma to separate answers if needed.*
---
**Graphical Representation:**
A typical graph for this scenario would be a normal distribution curve (bell curve) characterized by the following:
- The middle of the curve represents a mean (z = 0).
- Shaded regions in the tails of the curve represent the rejection regions.
- Since it is a two-tailed test, there will be two critical z values: one positive and one negative.
For α = 0.005, the area in each tail is 0.0025 (since α is split equally in two tails).
**Conclusion:**
In this lesson, ensure to calculate the z critical values accurately, interpret them in the context of the problem, and correctly denote the rejection regions on the graph.
---
By understanding these concepts, you can make informed conclusions based on your experimental data through hypothesis testing.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40af4702-0490-4dd6-b89f-83ddf43fab87%2F6721afc3-250c-4a5e-b7cc-ae3484a0c49f%2Fw4qeu0t_processed.png&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website:**
---
**Title: Understanding Critical Values and Rejection Regions in Z-Tests**
**Objective:**
Learn how to find the critical value(s) and rejection region(s) for a two-tailed z-test with a specified level of significance (α).
---
**Task:**
Find the critical value(s) and rejection region(s) for the type of z-test with level of significance α. Include a graph with your answer.
**Given:**
- Two-tailed test, α = 0.005
---
**Process:**
1. **Identify the Critical Values:**
- The critical value(s) is/are z = [ ]
*Note: Round to two decimal places as needed. Use a comma to separate answers if needed.*
---
**Graphical Representation:**
A typical graph for this scenario would be a normal distribution curve (bell curve) characterized by the following:
- The middle of the curve represents a mean (z = 0).
- Shaded regions in the tails of the curve represent the rejection regions.
- Since it is a two-tailed test, there will be two critical z values: one positive and one negative.
For α = 0.005, the area in each tail is 0.0025 (since α is split equally in two tails).
**Conclusion:**
In this lesson, ensure to calculate the z critical values accurately, interpret them in the context of the problem, and correctly denote the rejection regions on the graph.
---
By understanding these concepts, you can make informed conclusions based on your experimental data through hypothesis testing.
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