Determine the test statistic ? ( round two decimal place) ### Understanding Hypothesis Testing for Earthquake DepthsA data set lists earthquake depths. The summary statistics are:- \( n = 400 \)- \( \bar{x} = 5.85 \) km- \( s = 4.82 \) km**Problem Statement**:A seismologist claims that these earthquakes are from a population with a mean equal to 5.00 km. Use a 0.01 significance level to test this claim. Assume that a simple random sample has been selected. We need to identify the null and alternative hypotheses, the test statistic, P-value, and state the final conclusion that addresses the original claim.**Question**:What are the null and alternative hypotheses?### Hypothesis Options- **Option A**: - \( H_{0}: \mu = 5.00 \) km - \( H_{1}: \mu < 5.00 \) km- **Option B** (selected as correct): - \( H_{0}: \mu \neq 5.00 \) km - \( H_{1}: \mu = 5.00 \) km- **Option C**: - \( H_{0}: \mu = 5.00 \) km - \( H_{1}: \mu \neq 5.00 \) km- **Option D**: - \( H_{0}: \mu = 5.00 \) km - \( H_{1}: \mu > 5.00 \) km**Explanation**:In hypothesis testing, the null hypothesis (\( H_{0} \)) represents the status quo or a statement of no effect or no difference. The alternative hypothesis (\( H_{1} \)) represents the claim we seek to find evidence for.### Critical Insight:For the seismologist's claim that the mean depth is 5.00 km, the suitable hypothesis formulation is:- **Null Hypothesis (\( H_{0} \)): \( \mu \neq 5.00 \) km**- **Alternative Hypothesis (\( H_{1} \)): \( \mu = 5.00 \) km**This configuration tests if the data significantly differs from the proposed 5.00 km mean, conforming to Option B.

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Description: Determine the test statistic ? ( round two decimal place) ### Understanding Hypothesis Testing for Earthquake DepthsA data set lists earthquake depths. The summary statistics are:- \( n = 400 \)- \( \bar{x} = 5.85 \) km- \( s = 4.82 \) km**Problem St

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A data set lists earthquake depths. The summary statistics aren= 400, x = 5.85 km, s = 4.82 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 5.00. 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? Ο Α. Hρ: μ = 5.00 km H,:µ<5.00 km о в. Но: и#5.00 km H4:u = 5.00 km О с. Но: и5.00 km H.:1 #5.00 km O D. Ho:µ= 5.00 km H.:u>5.00 km

A data set lists earthquake depths. The summary statistics aren= 400, x = 5.85 km, s = 4.82 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 5.00. 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? Ο Α. Hρ: μ = 5.00 km H,:µ<5.00 km о в. Но: и#5.00 km H4:u = 5.00 km О с. Но: и5.00 km H.:1 #5.00 km O D. Ho:µ= 5.00 km H.:u>5.00 km

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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