A data set lists earthquake depths. The summary statistics are n= 600, x = 5.78 km, s = 4.86 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 to5.00. 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: H= 5.00 kmH1: µ<5.00 kmΟ Α. Ηo: μ= 5.00 kmH1: µ> 5.00 kmO C. Ho: µ#5.00 kmH1: µ = 5.00 kmO D. Ho: µ= 5.00 kmH1: µ#5.00 kmDetermine the test statistic.(Round to two decimal places as needed.)Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.)State the final conclusion that addresses the original claim.V Ho. There isV evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00 kmcorrect.

Name: A data set lists earthquake depths. The summary statistics are n= 600
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Description: A data set lists earthquake depths. The summary statistics are n= 600, x = 5.78 km, s = 4.86 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 to5.00. Assume that a s

Given Information is as follows; Population mean , µ = 5.00. Sample standard deviation ,s= 4.86 km. Sample mean , x̄ = 5.78 km. Sample size , n = 600. Significance level , α = 0.01. Claim : A seismologist that these earthquakes are from a population with a mean equal to 5.00. The null and alternative hypotheses are as follows; Ho : µ = 5.00 km. Ha : µ ≠ 5.00 km. Since we have not equal inequality in alternative hypotheses , it is Two -tailed test. Thus , the correct choice is D.It is asked to determine the test statistic , t value. Notice , here population standard deviation (σ) is unknown to us (sample standard deviation is known) so that's why we will perform T-test here. The formula to find test statistic is , t =5.78-5.004.86600=0.780.198409=3.93 Thus , the test statistic value is 3.93. It is asked to find p-value. Note that , this is two tailed test so we will have to find p-value for two tailed test. We can find this p-value by using MS-Excel. The Excel function to find p-value is =TDIST ( test statistic , df , tailed). Here we know that test statistic value = 3.93 , df stands for degrees of freedom and it is n-1 = 600-1=599 and we know that type of tailed is two. So plug values so it will look like , =TDIST( 3.93 , 599,2) Hit on enter to get the p-value for two tailed test and it is equal to 0.00009. Thus , P-value = 0.00009. It is below 0.01. The p-value decision rule is as follows; If p value ≤ significance level , then we reject null and supports alternative . If p value > significance level , then we fail to reject null that is we support null and reject alternative. Here p-value is 0.00009 and significance level is 0.01 so from this we can say that p-value is less than significance level so reject the null hypotheses and it simply means that we are in favor of accepting the alternative hypotheses. Decision : Reject Ho. Conclusion : There is sufficient evidence to conclude that the original claim that the mean of population of earthquake depth is 5.00 km is correct.

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A data set lists earthquake depths. The summary statistics are n = 600, x = 5.78 km, s = 4.86 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? O A. Ho: µ= 5.00 km O B. Ho: H= 5.00 km H1: u> 5.00 km H,: u< 5.00 km OC. Ho: H#5.00 km H1: = 5.00 km O D. Ho: µ= 5.00 km H1: u#5.00 km Determine the test statistic. O (Round to two decimal places as needed.) Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00 km V correct.

A data set lists earthquake depths. The summary statistics are n = 600, x = 5.78 km, s = 4.86 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? O A. Ho: µ= 5.00 km O B. Ho: H= 5.00 km H1: u> 5.00 km H,: u< 5.00 km OC. Ho: H#5.00 km H1: = 5.00 km O D. Ho: µ= 5.00 km H1: u#5.00 km Determine the test statistic. O (Round to two decimal places as needed.) Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00 km V correct.

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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