A data set lists earthquake depths. The summary statistics are $ n = 500 $, $ \bar{x} = 4.45 \, \text{km} $, $ s = 4.86 \, \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 4.00. 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?**- **A.** $ H_0: \mu = 4.00 \, \text{km} $ $ H_1: \mu > 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 \neq 4.00 \, \text{km} $- **D.** $ H_0: \mu \neq 4.00 \, \text{km} $ $ H_1: \mu = 4.00 \, \text{km} $(The selected hypothesis is option C.)**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.**Select one:- **Fail to reject** $ H_0 $. There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.- **Reject** $ H_0 $. There is **sufficient** evidence to conclude that the mean of the population of earthquake depths is 4.00 km.- **Fail to reject** $ H_0 $. There is **insufficient** evidence to conclude that the mean of the population of earthquake depths is

Given,n=500x¯=4.45 kms=4.86 kmα=0.01

Answered: A data set lists earthquake depths. The…

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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