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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 : n = 51
standard deviation = d= 0. 37
95 % Confidence
To solve for the 95% tuo- sided onfidence intervalfor o,
We can ure the loo(1-0)% confidence interval for
variance, o?
(a-1) o*
2.
where, n=
- samplı size = 5I
d = standard deviation = 0:37
and x
« n-1 =
= upper and lower a
percatage
n-1
points of the chi-square. distribution with n-)
degres of free dom.
Solve for 으
|-0.95
0.05
= 0. 025
%3D
2
2
So
X0.025, 50
%3D
1-목 ,n-1 = Xo.이7도, 50
Transcribed Image Text:given : n = 51 standard deviation = d= 0. 37 95 % Confidence To solve for the 95% tuo- sided onfidence intervalfor o, We can ure the loo(1-0)% confidence interval for variance, o? (a-1) o* 2. where, n= - samplı size = 5I d = standard deviation = 0:37 and x « n-1 = = upper and lower a percatage n-1 points of the chi-square. distribution with n-) degres of free dom. Solve for 으 |-0.95 0.05 = 0. 025 %3D 2 2 So X0.025, 50 %3D 1-목 ,n-1 = Xo.이7도, 50
from Chi- squar table, find the chi-square critical välue
= 32.357
0.995,5
0
71.420
25,50
Substitute valuer to the equations
(51-1)(0.37)
71.420
32.357
Thon,
0.0958415 o <0.2115461878
Take the square root to find the 95% Confidence interval
for standard deviation, o,
0.0958415 < Ő < Jo.2115461878
0.309 6 So < 0,4599
Transcribed Image Text:from Chi- squar table, find the chi-square critical välue = 32.357 0.995,5 0 71.420 25,50 Substitute valuer to the equations (51-1)(0.37) 71.420 32.357 Thon, 0.0958415 o <0.2115461878 Take the square root to find the 95% Confidence interval for standard deviation, o, 0.0958415 < Ő < Jo.2115461878 0.309 6 So < 0,4599
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