You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \): - \( H_0: \mu = 65.4 \) - \( H_a: \mu \neq 65.4 \) The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values: - 61.9 - 13 - 43.5 - 34.1 **Questions to Answer:** 1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)** - Test statistic = [Input required] 2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)** - p-value = [Input required] 3. **Determine the p-value condition:** - Is the p-value less than (or equal to) \( \alpha \)? - Is the p-value greater than \( \alpha \)? 4. **Decision Based on Test Statistic:** - Choose to reject the null hypothesis - Choose to accept the null hypothesis
You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \): - \( H_0: \mu = 65.4 \) - \( H_a: \mu \neq 65.4 \) The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values: - 61.9 - 13 - 43.5 - 34.1 **Questions to Answer:** 1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)** - Test statistic = [Input required] 2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)** - p-value = [Input required] 3. **Determine the p-value condition:** - Is the p-value less than (or equal to) \( \alpha \)? - Is the p-value greater than \( \alpha \)? 4. **Decision Based on Test Statistic:** - Choose to reject the null hypothesis - Choose to accept the null hypothesis
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):
- \( H_0: \mu = 65.4 \)
- \( H_a: \mu \neq 65.4 \)
The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values:
- 61.9
- 13
- 43.5
- 34.1
**Questions to Answer:**
1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)**
- Test statistic = [Input required]
2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)**
- p-value = [Input required]
3. **Determine the p-value condition:**
- Is the p-value less than (or equal to) \( \alpha \)?
- Is the p-value greater than \( \alpha \)?
4. **Decision Based on Test Statistic:**
- Choose to reject the null hypothesis
- Choose to accept the null hypothesis](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30aa371e-7f96-44e6-88e8-ed2e882babec%2F22b02ffe-1366-429a-850c-2fc8c5a2a6a3%2Fk33m5wm.jpeg&w=3840&q=75)
Transcribed Image Text:You are tasked with testing the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \):
- \( H_0: \mu = 65.4 \)
- \( H_a: \mu \neq 65.4 \)
The population is assumed to be normally distributed, but the standard deviation is unknown. The sample data collected includes the values:
- 61.9
- 13
- 43.5
- 34.1
**Questions to Answer:**
1. **What is the test statistic for this sample? (Report the answer accurate to three decimal places.)**
- Test statistic = [Input required]
2. **What is the p-value for this sample? (Report the answer accurate to four decimal places.)**
- p-value = [Input required]
3. **Determine the p-value condition:**
- Is the p-value less than (or equal to) \( \alpha \)?
- Is the p-value greater than \( \alpha \)?
4. **Decision Based on Test Statistic:**
- Choose to reject the null hypothesis
- Choose to accept the null hypothesis
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman