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he last part of the question, the options are:   Fail to reject OR reject;   Sufficient OR not sufficient;   is OR is not;

he last part of the question, the options are:   Fail to reject OR reject;   Sufficient OR not sufficient;   is OR is not;

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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For the last part of the question, the options are:

 

Fail to reject OR reject;

 

Sufficient OR not sufficient;

 

is OR is not;

 

Thanks!

A data set lists earthquake depths. The summary statistics are n = 500, x =4.66 km, s = 4.17 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. %3D What are the null and alternative hypotheses? O A. Ho: µ= 4.00 km H1: µ > 4.00 km В. Но: и34.00 km H1: µ#4.00 km О с. Но: н-4.00 km H1: µ< 4.00 km D. Ho: H#4.00 km H1:µ= 4.00 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. Ho. There is evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km correct.
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are n = 500, x =4.66 km, s = 4.17 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. %3D What are the null and alternative hypotheses? O A. Ho: µ= 4.00 km H1: µ > 4.00 km В. Но: и34.00 km H1: µ#4.00 km О с. Но: н-4.00 km H1: µ< 4.00 km D. Ho: H#4.00 km H1:µ= 4.00 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. Ho. There is evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km correct.
Expert Solution
Step 1

As the population standard deviation is not known, use the t-test.

The null and alternative hypotheses are:

Ho: \mu = 4.00

Ha: \mu ≠ 4.00

This corresponds to a two-tailed test.

The t-statistic is computed as follows:

Statistics homework question answer, step 1, image 1

Th ep-value with t=3.54 and for two-tailed test and 499 (n-1) degrees of freedom is 0.0004 (from t-distribution  table).

, the null hypothesis is rejected.

 

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