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QUESTION ONE A simple random sample of size 19 is taken froma Normal population (given below) 11.3, 12.0, 10.1, 10.3, 13.5, 10.8, 13.7, 12.8, 11.9, 10.7, 11.0, 11.6, 10.1, 11.7, 10.6, 12.0, 11.7, 13.1, 11.3 (a) Test (at the 7.25% level) whether there is sufficient evidence to conclude that the true mean is greater than 11.25 using the rejection region approach Test (at the 12.5% level) whether there is sufficient evidence to conclude that the true mean is different than 11.5 using the p-value approach (b) At the 2% level, test whether it is reasonable to believe that the true pop ulation variance is larger than 1. Derive the power function. Show your work (c) Using R, (show all relevant codes), graph the power function for 0.5 < o2 < 3.5. Pretend that the sample size was on the same graph. Based on your graph, which test is "better"? Explain actually 56. Plot this power function n

QUESTION ONE A simple random sample of size 19 is taken froma Normal population (given below) 11.3, 12.0, 10.1, 10.3, 13.5, 10.8, 13.7, 12.8, 11.9, 10.7, 11.0, 11.6, 10.1, 11.7, 10.6, 12.0, 11.7, 13.1, 11.3 (a) Test (at the 7.25% level) whether there is sufficient evidence to conclude that the true mean is greater than 11.25 using the rejection region approach Test (at the 12.5% level) whether there is sufficient evidence to conclude that the true mean is different than 11.5 using the p-value approach (b) At the 2% level, test whether it is reasonable to believe that the true pop ulation variance is larger than 1. Derive the power function. Show your work (c) Using R, (show all relevant codes), graph the power function for 0.5 < o2 < 3.5. Pretend that the sample size was on the same graph. Based on your graph, which test is "better"? Explain actually 56. Plot this power function n

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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Please, I need a detailed and a step by step solutions to the problem. I don't have a strong background in statistics and I will appreciate it if you could help out. PLEASE DONT FORGET TO ADD ME THE R CODE FOR SUBQUESTION C. Thank you. 

QUESTION ONE A simple random sample of size 19 is taken froma Normal population (given below) 11.3, 12.0, 10.1, 10.3, 13.5, 10.8, 13.7, 12.8, 11.9, 10.7, 11.0, 11.6, 10.1, 11.7, 10.6, 12.0, 11.7, 13.1, 11.3 (a) Test (at the 7.25% level) whether there is sufficient evidence to conclude that the true mean is greater than 11.25 using the rejection region approach Test (at the 12.5% level) whether there is sufficient evidence to conclude that the true mean is different than 11.5 using the p-value approach (b) At the 2% level, test whether it is reasonable to believe that the true pop ulation variance is larger than 1. Derive the power function. Show your work (c) Using R, (show all relevant codes), graph the power function for 0.5 < o2 < 3.5. Pretend that the sample size was on the same graph. Based on your graph, which test is "better"? Explain actually 56. Plot this power function n
Transcribed Image Text:QUESTION ONE A simple random sample of size 19 is taken froma Normal population (given below) 11.3, 12.0, 10.1, 10.3, 13.5, 10.8, 13.7, 12.8, 11.9, 10.7, 11.0, 11.6, 10.1, 11.7, 10.6, 12.0, 11.7, 13.1, 11.3 (a) Test (at the 7.25% level) whether there is sufficient evidence to conclude that the true mean is greater than 11.25 using the rejection region approach Test (at the 12.5% level) whether there is sufficient evidence to conclude that the true mean is different than 11.5 using the p-value approach (b) At the 2% level, test whether it is reasonable to believe that the true pop ulation variance is larger than 1. Derive the power function. Show your work (c) Using R, (show all relevant codes), graph the power function for 0.5 < o2 < 3.5. Pretend that the sample size was on the same graph. Based on your graph, which test is "better"? Explain actually 56. Plot this power function n
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