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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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Given

Assuming a variable normally distributed,

The confidence interval for the variance is given by :

$\frac{(n - 1) s^{2}}{χ_{α / 2}^{2}} \leq σ^{2} \leq \frac{(n - 1) s^{2}}{χ_{1 - α / 2}^{2}} σ^{2} : P o p u l a t i o n v a r i a n c e s^{2} : S a m p l e v a r i a n c e n : s a m p l e s i z e$

The confidence interval for the standard deviation is given by :

$\sqrt{\frac{(n - 1) s^{2}}{χ_{α / 2}^{2}}} \leq σ \leq \sqrt{\frac{(n - 1) s^{2}}{χ_{1 - α / 2}^{2}}} σ : P o p u l a t i o n s \tan d a r d d e v i a t i o n s^{2} : S a m p l e v a r i a n c e n : s a m p l e s i z e$

Here, we have :

$s a m p l e s i z e : n = 23 s a m p l e s \tan d a r d d e v i a t i o n : s = 5.3 m i n u t e s s a m p l e v a r i a n c e : s^{2} = 28.09 m i n u t e s$

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