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Check the following hypotheses: 1) Verification of hypothesis variances Ho: o2 = 0; H₁: 02/2 # 03 2) Verification of hypothesis variances Ho: o² = 0²; H₁: 0² # 0² 3) Verification of hypothesis variances Ho: o2 = 0; H₁: 0² 0² σ #

Check the following hypotheses: 1) Verification of hypothesis variances Ho: o2 = 0; H₁: 02/2 # 03 2) Verification of hypothesis variances Ho: o² = 0²; H₁: 0² # 0² 3) Verification of hypothesis variances Ho: o2 = 0; H₁: 0² 0² σ #

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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Based on the following values:

Mathematical expectation:

E(X) = ∑Xn1 = 1204 = 30

E(Y) = ∑Yn2 = 1884 = 47

E(Z) = ∑Zn3 = 1784 = 44.5

Variance:

var(X) = 1n1-1∑X2-1n∑X2 = 14-13678-12024 =26

var(Y) = 1n2-1∑Y2-1n∑Y2 = 14-18890-18824 =18

var(Z) = 1n3-1∑Z2-1n3∑Z2 = 14-18322-17824 =133.6667

Root mean square deviation

sd(X)= var(X) =26 = 5.0990

sd(Y)= var(Y) =18 = 4.2426

sd(Z)= var(Z) =133.6667 = 11.5614

Correlation coefficients


X

Y

Z

 

 

25

44

28

 

28

43

48

 

37

49

55

 

30

52

47

1. Expectation

120

188

178

2. Variance

26

18

133.6667

3. root mean square deviation

5.099

4.2426

11.5614

 Check the hypothesis in the images. The table values are in the other image below

 

α = 0.05 T(a/2, v = 2) = 4.3027 T(a/2, v = 3) = 3.1825 T(a/2, v = 4): = 2.7765 T(a/2, v = 6) = 2.4469 F(a/2, 4, 4) = 9.6045 F(a/2,3,3) = 15.4392 F(α/2,3,4)= 9.9792 F(a/2, 1,4)= 7.708 F(a/2,4,3)= 9.12 G(a, 3, 3) = = 0.7977 x² = x²(₁3) = x² = x² (1-2, 3) = = 9.348 T(α, 4) = 1.71 = 0.2158
Transcribed Image Text:α = 0.05 T(a/2, v = 2) = 4.3027 T(a/2, v = 3) = 3.1825 T(a/2, v = 4): = 2.7765 T(a/2, v = 6) = 2.4469 F(a/2, 4, 4) = 9.6045 F(a/2,3,3) = 15.4392 F(α/2,3,4)= 9.9792 F(a/2, 1,4)= 7.708 F(a/2,4,3)= 9.12 G(a, 3, 3) = = 0.7977 x² = x²(₁3) = x² = x² (1-2, 3) = = 9.348 T(α, 4) = 1.71 = 0.2158
Check the following hypotheses: 1) Verification of hypothesis variances Ho: o2 = 0; H₁:02 #0² 2) Verification of hypothesis variances Ho: o² = 0²; H₁: 0} # 0² 3) Verification of hypothesis variances Ho: o2 = 0; H₁: 0² # 0²
Transcribed Image Text:Check the following hypotheses: 1) Verification of hypothesis variances Ho: o2 = 0; H₁:02 #0² 2) Verification of hypothesis variances Ho: o² = 0²; H₁: 0} # 0² 3) Verification of hypothesis variances Ho: o2 = 0; H₁: 0² # 0²
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