What are the hypotheses? OA. Ho: H=1.00 in magnitude H₁: μ<1.00 in magnitude OC. Ho: μ#1.00 in magnitude H₁: μ=1.00 in magnitude Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. The P-value is. (Round to three decimal places as needed.) OB. Ho: H=1.00 in magnitude H₁: μ> 1.00 in magnitude O D. Ho: H=1.00 in magnitude H₁: μ1.00 in magnitude Choose the correct answer below. O A. Fail to reject Ho. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. OB. Fail to reject Ho. There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. OC. Reject Ho. There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. O D. Reject Ho. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
What are the hypotheses? OA. Ho: H=1.00 in magnitude H₁: μ<1.00 in magnitude OC. Ho: μ#1.00 in magnitude H₁: μ=1.00 in magnitude Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. The P-value is. (Round to three decimal places as needed.) OB. Ho: H=1.00 in magnitude H₁: μ> 1.00 in magnitude O D. Ho: H=1.00 in magnitude H₁: μ1.00 in magnitude Choose the correct answer below. O A. Fail to reject Ho. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. OB. Fail to reject Ho. There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. OC. Reject Ho. There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. O D. Reject Ho. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Hypothesis Testing for Earthquake Magnitudes
#### Problem Description
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
#### Hypotheses
What are the hypotheses?
- A. \( H_0 \): \( \mu = 1.00 \) in magnitude
\( H_1 \): \( \mu < 1.00 \) in magnitude
- B. \( H_0 \): \( \mu = 1.00 \) in magnitude
\( H_1 \): \( \mu > 1.00 \) in magnitude
- C. \( H_0 \): \( \mu \neq 1.00 \) in magnitude
\( H_1 \): \( \mu = 1.00 \) in magnitude
#### Data Table
Here is the table listing the magnitudes of 50 earthquakes:
```
| | Magnitude of Earthquake |
|---|-------------------------|
| 1 | 0.690 |
| 2 | 0.740 |
| 3 | 0.640 |
| 4 | 0.390 |
| 5 | 0.700 |
| 6 | 2.200 |
| 7 | 1.980 |
| 8 | 0.640 |
| 9 | 1.220 |
| 10| 0.200 |
| 11| 1.640 |
| 12| 1.330 |
| 13| 2.950 |
| 14| 0.900 |
| 15| 1.760 |
| 16| 1.010 |
| 17| 1.260 |
| 18| 0.000 |
| 19| 0.650 |
| 20| 1.460 |
| 21| 1.620 |
| 22| 1.830 |
| 23| 0.990 |
| 24| 1.560 |
|
![## Hypothesis Testing for Earthquake Magnitudes
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00 at a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
### Hypotheses
What are the hypotheses?
- **Option A:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu < 1.00 \text{ in magnitude}\)
- **Option B:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu > 1.00 \text{ in magnitude}\)
- **Option C:**
- Null Hypothesis (\( H_0 \)): \(\mu \neq 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu = 1.00 \text{ in magnitude}\)
- **Option D:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu \neq 1.00 \text{ in magnitude}\)
### Test Statistic
Identify the test statistic:
\[ t = \boxed{} \]
(Round to two decimal places as needed.)
### P-value
Identify the P-value:
\[ \text{The P-value is} \boxed{} \]
(Round to three decimal places as needed.)
### Conclusion
Choose the correct answer below.
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
- **B.** Fail to reject \( H_0 \). There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
- **C.** Reject \( H_0 \). There is insufficient evidence to conclude that the population of earthquakes has](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cc7f00e-28f4-4f9d-9775-3cbc7937b5d3%2Fff445e98-3f3d-4632-9a1f-462ff46981eb%2Fohkydrh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Hypothesis Testing for Earthquake Magnitudes
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00 at a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
### Hypotheses
What are the hypotheses?
- **Option A:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu < 1.00 \text{ in magnitude}\)
- **Option B:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu > 1.00 \text{ in magnitude}\)
- **Option C:**
- Null Hypothesis (\( H_0 \)): \(\mu \neq 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu = 1.00 \text{ in magnitude}\)
- **Option D:**
- Null Hypothesis (\( H_0 \)): \(\mu = 1.00 \text{ in magnitude}\)
- Alternative Hypothesis (\( H_1 \)): \(\mu \neq 1.00 \text{ in magnitude}\)
### Test Statistic
Identify the test statistic:
\[ t = \boxed{} \]
(Round to two decimal places as needed.)
### P-value
Identify the P-value:
\[ \text{The P-value is} \boxed{} \]
(Round to three decimal places as needed.)
### Conclusion
Choose the correct answer below.
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
- **B.** Fail to reject \( H_0 \). There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
- **C.** Reject \( H_0 \). There is insufficient evidence to conclude that the population of earthquakes has
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