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 image below. The tablic values are also there

MATLAB: An Introduction with Applications
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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 image below. The tablic values are also there

 

 

 

 

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(a/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(2,3)= 0.2158
x² = x² (1-2, 3) =
T(α, 4) = 1.71
= 9.348
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(a/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(2,3)= 0.2158 x² = x² (1-2, 3) = T(α, 4) = 1.71 = 9.348
Ho: m, 44; H₁: my # 44
my
=
Transcribed Image Text:Ho: m, 44; H₁: my # 44 my =
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