Consider the following hypothesis test:\[ H_0: \mu \geq 45 \]\[ H_a: \mu < 45 \]A sample of 36 is used. Identify the \( p \)-value and state your conclusion for each of the following sample results. Use \(\alpha = 0.01\).a. With \(\bar{x} = 44\) and \(s = 5.2\), the \( p \)-value is **less than 0.005**.Can it be concluded that the population mean is less than 45?- **No**b. With \(\bar{x} = 43\) and \(s = 4.6\), the \( p \)-value is **between 0.01 and 0.025**.Can it be concluded that the population mean is less than 45?- **Yes**c. With \(\bar{x} = 46\) and \(s = 5\), the \( p \)-value is **between 0.01 and 0.025**.Can it be concluded that the population mean is less than 45?- **Yes**

Given hypothesis test H0:sample size =36Level of significance =0.01

Answered: Consider the following hypothesis test:…

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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