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on with a mean equal to 4.00. Assume that a addresses the original claim. What are the null and alternative hypotheses? A.. Ho: μ=4.00 km H₁: μ#4.00 km OC. Ho H=4.00 km H₁ μ> 4.00 km Determine the test statistic. (Round to two decimal places as needed!) mple ran imple has been O B. Ho "= H₁ p< O D. Ho #4 H, μ=4 Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Fail to reject Ho. There is not sufficient evidence to conclude that the mean of the population of earthquake depths

on with a mean equal to 4.00. Assume that a addresses the original claim. What are the null and alternative hypotheses? A.. Ho: μ=4.00 km H₁: μ#4.00 km OC. Ho H=4.00 km H₁ μ> 4.00 km Determine the test statistic. (Round to two decimal places as needed!) mple ran imple has been O B. Ho "= H₁ p< O D. Ho #4 H, μ=4 Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Fail to reject Ho. There is not sufficient evidence to conclude that the mean of the population of earthquake depths

MATLAB: An Introduction with Applications
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 data set lists earthquake depths. The summary statistics are \( n = 400 \), \( \bar{x} = 4.47 \, \text{km} \), \( s = 4.53 \, \text{km} \). Use a 0.01 significance level to test the claim about the 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 final conclusion that addresses the original claim. **What are the null and alternative hypotheses?** - A. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu \neq 4.00 \, \text{km} \) - B. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu < 4.00 \, \text{km} \) - C. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu > 4.00 \, \text{km} \) - D. \( H_0: \mu \neq 4.00 \, \text{km} \) \( H_1: \mu = 4.00 \, \text{km} \) **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.** \[ \boxed{\text{Fail to reject}} \ H_0. \ \text{There is} \ \boxed{\text{not sufficient}} \ \text{evidence to conclude that the mean of the population of earthquake depths} \ldots \]
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are \( n = 400 \), \( \bar{x} = 4.47 \, \text{km} \), \( s = 4.53 \, \text{km} \). Use a 0.01 significance level to test the claim about the 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 final conclusion that addresses the original claim. **What are the null and alternative hypotheses?** - A. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu \neq 4.00 \, \text{km} \) - B. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu < 4.00 \, \text{km} \) - C. \( H_0: \mu = 4.00 \, \text{km} \) \( H_1: \mu > 4.00 \, \text{km} \) - D. \( H_0: \mu \neq 4.00 \, \text{km} \) \( H_1: \mu = 4.00 \, \text{km} \) **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.** \[ \boxed{\text{Fail to reject}} \ H_0. \ \text{There is} \ \boxed{\text{not sufficient}} \ \text{evidence to conclude that the mean of the population of earthquake depths} \ldots \]
The text is analyzing earthquake depths and includes the following details and options for hypothesis testing. ### Details: - The sample size \( n = 10 \) - Sample mean \( \bar{x} = 4.47 \) km - Standard deviation \( s = 4.53 \) km - Significance level \( \alpha = 0.01 \) The task is to test the claim of a seismologist regarding earthquake depths from a particular region, using the given sample data. Identify the null and alternative hypotheses, compute the test statistic, determine the P-value, and state the final conclusion. ### Hypothesis Test Options: - **Option B:** - Null Hypothesis (\( H_0 \)): \( \mu = 4.00 \) km - Alternative Hypothesis (\( H_1 \)): \( \mu < 4.00 \) km - **Option D:** - Null Hypothesis (\( H_0 \)): \( \mu \neq 4.00 \) km - Alternative Hypothesis (\( H_1 \)): \( \mu = 4.00 \) km The conclusion to be drawn from the test will determine whether the mean of the population of earthquake depths is 4.00 km or not.
Transcribed Image Text:The text is analyzing earthquake depths and includes the following details and options for hypothesis testing. ### Details: - The sample size \( n = 10 \) - Sample mean \( \bar{x} = 4.47 \) km - Standard deviation \( s = 4.53 \) km - Significance level \( \alpha = 0.01 \) The task is to test the claim of a seismologist regarding earthquake depths from a particular region, using the given sample data. Identify the null and alternative hypotheses, compute the test statistic, determine the P-value, and state the final conclusion. ### Hypothesis Test Options: - **Option B:** - Null Hypothesis (\( H_0 \)): \( \mu = 4.00 \) km - Alternative Hypothesis (\( H_1 \)): \( \mu < 4.00 \) km - **Option D:** - Null Hypothesis (\( H_0 \)): \( \mu \neq 4.00 \) km - Alternative Hypothesis (\( H_1 \)): \( \mu = 4.00 \) km The conclusion to be drawn from the test will determine whether the mean of the population of earthquake depths is 4.00 km or not.
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Step 1

Given that 

Sample size n =400

Sample mean=4.47

Standard deviation =4.53

 

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