A data set lists earthquake depths. The summary statistics are n= 500, x = 4.45 km, s = 4.86 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. ..... What are the null and alternative hypotheses? O A. Ho: H= 4.00 km O B. Ho: H= 4.00 km H,:µ<4.00 km H,: µ>4.00 km OC. Ho: H= 4.00 km O D. Ho: H+4.00 km H,: µ= 4.00 km H,: µ#4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is V evidence to conclude that the mean of the population of earthquake depths is 4.00 km V correct.
A data set lists earthquake depths. The summary statistics are n= 500, x = 4.45 km, s = 4.86 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. ..... What are the null and alternative hypotheses? O A. Ho: H= 4.00 km O B. Ho: H= 4.00 km H,:µ<4.00 km H,: µ>4.00 km OC. Ho: H= 4.00 km O D. Ho: H+4.00 km H,: µ= 4.00 km H,: µ#4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is V evidence to conclude that the mean of the population of earthquake depths is 4.00 km V correct.
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
![A data set lists earthquake depths. The summary statistics are \( n = 500 \), \( \bar{x} = 4.45 \, \text{km} \), \( s = 4.86 \, \text{km} \). Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu > 4.00 \, \text{km} \)
- **B.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu < 4.00 \, \text{km} \)
- **C.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu \neq 4.00 \, \text{km} \)
- **D.** \( H_0: \mu \neq 4.00 \, \text{km} \)
\( H_1: \mu = 4.00 \, \text{km} \)
(The selected hypothesis is option C.)
**Determine the test statistic.**
\[ \text{(Round to two decimal places as needed.)} \]
**Determine the P-value.**
\[ \text{(Round to three decimal places as needed.)} \]
**State the final conclusion that addresses the original claim.**
Select one:
- **Fail to reject** \( H_0 \). There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.
- **Reject** \( H_0 \). There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.
- **Fail to reject** \( H_0 \). There is **insufficient** evidence to conclude that the mean of the population of earthquake depths is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2731a74b-0add-4fc5-b627-4c578fe40a02%2F6c2a78f1-bca8-4530-8626-d7492eb0f01f%2F8ndwzx_processed.png&w=3840&q=75)
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are \( n = 500 \), \( \bar{x} = 4.45 \, \text{km} \), \( s = 4.86 \, \text{km} \). Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu > 4.00 \, \text{km} \)
- **B.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu < 4.00 \, \text{km} \)
- **C.** \( H_0: \mu = 4.00 \, \text{km} \)
\( H_1: \mu \neq 4.00 \, \text{km} \)
- **D.** \( H_0: \mu \neq 4.00 \, \text{km} \)
\( H_1: \mu = 4.00 \, \text{km} \)
(The selected hypothesis is option C.)
**Determine the test statistic.**
\[ \text{(Round to two decimal places as needed.)} \]
**Determine the P-value.**
\[ \text{(Round to three decimal places as needed.)} \]
**State the final conclusion that addresses the original claim.**
Select one:
- **Fail to reject** \( H_0 \). There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.
- **Reject** \( H_0 \). There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.
- **Fail to reject** \( H_0 \). There is **insufficient** evidence to conclude that the mean of the population of earthquake depths is
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
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