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 hypotheses in the image below, in accordance with the tablic values.
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 hypotheses in the image below, in accordance with the tablic values.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Question
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
|
|
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 hypotheses in the image below, in accordance with the tablic values.
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
Transcribed Image Text:Ho: 02 = 03: H1:03 + 0
осии
Ho: 03 = 02;
H1: 02 +02
сии
Ho: 0 = 02; H1:02 + 02
#
o
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Thank you, could you please test the two hypotheses below as well?
Thanks,
Transcribed Image Text:4.Verification of hypothesis of uniformity of many variances
Họ: đải = đẳz = đẳs; H: Gải toả + đảo
5. Testing a hypothesis that the mathematical expectation is equal to a given constant
HO: mx = 31; H1: mx # 31
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