3-TKA random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. Complete parts a through c below.Z=a. Test the null hypothesis that μ = 100 against the alternative hypothesis that µ> 100, using a = 0.05. Interpret the results of the test.What is the value of the test statistic?(Round to two decimal places as needed.)Find the p-value.p-value = (Round to three decimal places as needed.)State and interpret the results of the test.O A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at α = 0.05.OB. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at α = 0.05.OC. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05.O D. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05.Z=COLEb. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ# 100, using a = 0.05. Interpret the results of the test.What is the value of the test statistic?=(Round to two decimal places as needed.)Find the p-value.p-value =(Round to three decimal places as needed.)earsoncmg.com/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true#MacBook Pro

The information provided in the question are as-Sample size Population standard deviation Sample…

Answered: A random sample of 100 observations…

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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A random sample of 100 observations from a population with standard deviation 75 yielded a sample mean of 114. Complete parts a through c below. ← ...