## Hypotheses Testing for Earthquake DepthsA data set lists earthquake depths. The summary statistics are:- Sample size (n) = 500- Sample mean (x̄) = 6.41 km- Sample standard deviation (s) = 4.62 kmA seismologist claims that these earthquakes are from a population with a mean equal to 6.00 km. We will use a significance level (α) of 0.01 to test this claim. ### Step 1: Identify the Null and Alternative HypothesesThe null and alternative hypotheses represent statements about the population mean (μ):**Option A:** - Null Hypothesis (H₀): μ = 6.00 km - Alternative Hypothesis (H₁): μ < 6.00 km **Option B:** - Null Hypothesis (H₀): μ = 6.00 km - Alternative Hypothesis (H₁): μ > 6.00 km**Option C:** - Null Hypothesis (H₀): μ = 6.00 km - Alternative Hypothesis (H₁): μ ≠ 6.00 km**Option D:** - Null Hypothesis (H₀): μ ≠ 6.00 km - Alternative Hypothesis (H₁): μ = 6.00 kmGiven the claim that the mean is equal to 6.00 km, we test it against the possibility that it differs. Thus, the correct hypotheses are:**Option C:** - Null Hypothesis (H₀): μ = 6.00 km - Alternative Hypothesis (H₁): μ ≠ 6.00 km### Step 2: Determine the Test StatisticWe will use a t-test to determine the test statistic (t). Given the values:\[ n = 500 \]\[ \bar{x} = 6.41 \]\[ s = 4.62 \]\[ \mu = 6.00 \]The test statistic is calculated using the formula:\[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \]Plugging in the values:\[ t = \frac{6.41 - 6.00}{4.62 / \sqrt{500}} \]\[ t = \frac{0.

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Description: ## Hypotheses Testing for Earthquake DepthsA data set lists earthquake depths. The summary statistics are:- Sample size (n) = 500- Sample mean (x̄) = 6.41 km- Sample standard deviation (s) = 4.62 kmA seismologist claims that these earthquakes are fr

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A data set lists earthquake depths. The summary statistics are n= 500, x = 6.41 km, s = 4.62 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? O B. Ho: µ= 6.00 km H1: µ> 6.00 km O A. Ho: µ=6.00 km H1: µ<6.00 km O D. Ho: H#6.00 km H: µ= 6.00 km OC. Ho: u=6.00 km H: µ#6.00 km Determine the test statistic. 1.98 (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)

A data set lists earthquake depths. The summary statistics are n= 500, x = 6.41 km, s = 4.62 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? O B. Ho: µ= 6.00 km H1: µ> 6.00 km O A. Ho: µ=6.00 km H1: µ<6.00 km O D. Ho: H#6.00 km H: µ= 6.00 km OC. Ho: u=6.00 km H: µ#6.00 km Determine the test statistic. 1.98 (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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