A dataset lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 6.71 \, \text{km} \), \( s = 4.39 \, \text{km} \). 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 6.00. 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?** - **Option A:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu \neq 6.00 \, \text{km} \) - **Option B:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu > 6.00 \, \text{km} \) - **Option C:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu = 6.00 \, \text{km} \) - **Option D:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu < 6.00 \, \text{km} \) **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.** - [ ] Reject - [ ] Fail to reject \( H_0 \). There is [ ] evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km is [ ] correct.
A dataset lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 6.71 \, \text{km} \), \( s = 4.39 \, \text{km} \). 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 6.00. 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?** - **Option A:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu \neq 6.00 \, \text{km} \) - **Option B:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu > 6.00 \, \text{km} \) - **Option C:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu = 6.00 \, \text{km} \) - **Option D:** \( H_0: \mu = 6.00 \, \text{km} \) \( H_1: \mu < 6.00 \, \text{km} \) **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.** - [ ] Reject - [ ] Fail to reject \( H_0 \). There is [ ] evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km is [ ] 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
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![A dataset lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 6.71 \, \text{km} \), \( s = 4.39 \, \text{km} \). 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 6.00. 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?**
- **Option A:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu \neq 6.00 \, \text{km} \)
- **Option B:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu > 6.00 \, \text{km} \)
- **Option C:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu = 6.00 \, \text{km} \)
- **Option D:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu < 6.00 \, \text{km} \)
**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.**
- [ ] Reject
- [ ] Fail to reject
\( H_0 \). There is [ ] evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km is [ ] correct.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F649f0d74-50e6-40d1-b8bf-448b4f44f2f6%2F235014fe-ace4-4509-b20d-9ba8b7c8b215%2Fa469urk.jpeg&w=3840&q=75)
Transcribed Image Text:A dataset lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 6.71 \, \text{km} \), \( s = 4.39 \, \text{km} \). 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 6.00. 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?**
- **Option A:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu \neq 6.00 \, \text{km} \)
- **Option B:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu > 6.00 \, \text{km} \)
- **Option C:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu = 6.00 \, \text{km} \)
- **Option D:**
\( H_0: \mu = 6.00 \, \text{km} \)
\( H_1: \mu < 6.00 \, \text{km} \)
**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.**
- [ ] Reject
- [ ] Fail to reject
\( H_0 \). There is [ ] evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km is [ ] correct.
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