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Universitatea Tehnica din Cluj Napoca Facultatea Constructii de Masini Virag Adrian An II. Inginerie Industriala 10.05.2010 Lucrarea nr.4 Unitatea functiilor de repartitie Sirul de date generat, n=100, media=2, dispersia =0,02 1.994 1.97445 2.00489 2.02553 2.02397 2.03466 1.95633 1.99532 2.0219 1.9862 1.96619 1.96306 1.98045 1.98453 1.95764 1.98864 1.99192 2.0027 1.99346 1.9926 2.02685 1.99829 1.99628 1.98974 2.03944 2.01731 2.04751 2.03323 1.96775 2.01078 2.01804 2.03838 1.99831 1.98952 2.0135 1.99237 1.97112 1.98306 1.96957 1.99274 1.99935 2.00056 1.99355 2.04389 1.96515 1.94845 2.02895 1.9744 1.98693 2.01515 2.00933 2.01749 2.01191 1.97256 2.01388 2.00645 1.9812 1.99518 2.00263 2.01116 2.00277 1.98178 2.0377 2.00144 2.0166 2.01724 1.98727 1.98154 2.02222 1.97598 1.96882 2.01423 2.04411 2.02888 2.02608 2.00226 2.00004 2.00907 1.99949 1.97891 1.9645 2.00888 2.01236 2.00427 1.97946 2.02476 1.99378 1.9832 1.98358 1.99142 Valoarea minima 1.94845 Valoarea maxima 2.04751 umarul de clase m calcula 7.644 marul de clase m aproxim 7 Amplitudinea W 0.09906 arimea unui subinterval 0.01296 Media aritmetica Mx 1.99919 Dispersia Dx 0.00047 baterea medie patratica 0.02171 Valoarea clasei ai fi zi Fzi pi n*pi xcalcula 1.948 1.961 100 1 -1.7401 0.04092 0.04092 4.09204 2247.86 1.961 1.974 0 0 -1.1432 0.12647 0.08555 8.55525 8.55525 1.974 1.987 -100 -1 -0.5463 0.29241 0.16594 16.5942 819.214 1.987 2.000 100 1 0.05054 0.52015 0.22774 22.7738 261.875 2.000 2.013 0 0 0.64742 0.74132 0.22117 22.1166 22.1166 2.013 2.026 0 0 1.2443 0.8933 0.15199 15.1986 15.1986 2.026 2.048 0 0 2.22557 0.98698 0.09367 9.36735 9.36735 100 1 3384.19 grade de liberta 6 Conditie Decizie x2 calculat 1.1E+07 xcalc<xtabel repartitia experimentala X2 Tabel 12.592 2.400667<12,592 normala cu un risc de 5% TESTUL KOLMOGOROV-SMIRNOV,K F(ei) F(ei)-F(zi) 1 0.95908 1 0.87353 0 ### λ 1,358 1 0.47985 λ/sqrt(n 0.1358 1.961 1.974 1.987 2.000 2.013 2.026 1.948 1.961 1.974 1.987 2.000 2.013 -1.5 -1 -0.5 0 0.5 1 1.5

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Page 1: Registru4

Universitatea Tehnica din Cluj NapocaFacultatea Constructii de Masini

Virag AdrianAn II. Inginerie Industriala 10.05.2010

Lucrarea nr.4Unitatea functiilor de repartitie

Sirul de date generat, n=100, media=2, dispersia =0,021.994 1.97445 2.00489 2.02553 2.02397 2.03466 1.95633 1.99532 2.0219 1.97827

1.9862 1.96619 1.96306 1.98045 1.98453 1.95764 1.98864 1.99192 2.0027 1.992691.99346 1.9926 2.02685 1.99829 1.99628 1.98974 2.03944 2.01731 2.04751 1.98692.03323 1.96775 2.01078 2.01804 2.03838 1.99831 1.98952 2.0135 1.99237 2.015151.97112 1.98306 1.96957 1.99274 1.99935 2.00056 1.99355 2.04389 1.96515 1.985271.94845 2.02895 1.9744 1.98693 2.01515 2.00933 2.01749 2.01191 1.97256 1.977692.01388 2.00645 1.9812 1.99518 2.00263 2.01116 2.00277 1.98178 2.0377 2.009742.00144 2.0166 2.01724 1.98727 1.98154 2.02222 1.97598 1.96882 2.01423 2.012772.04411 2.02888 2.02608 2.00226 2.00004 2.00907 1.99949 1.97891 1.9645 2.016572.00888 2.01236 2.00427 1.97946 2.02476 1.99378 1.9832 1.98358 1.99142 1.99093

Valoarea minima 1.94845Valoarea maxima 2.04751

Numarul de clase m calculat 7.644Numarul de clase m aproximat 7

Amplitudinea W 0.09906Marimea unui subinterval d 0.01296

Media aritmetica Mx 1.99919Dispersia Dx 0.00047

Abaterea medie patratica s 0.02171Valoarea clasei ai fi zi Fzi pi n*pi xcalculat

1.948 1.961 100 1 -1.7401 0.04092 0.04092 4.09204 2247.861.961 1.974 0 0 -1.1432 0.12647 0.08555 8.55525 8.555251.974 1.987 -100 -1 -0.5463 0.29241 0.16594 16.5942 819.2141.987 2.000 100 1 0.05054 0.52015 0.22774 22.7738 261.8752.000 2.013 0 0 0.64742 0.74132 0.22117 22.1166 22.11662.013 2.026 0 0 1.2443 0.8933 0.15199 15.1986 15.19862.026 2.048 0 0 2.22557 0.98698 0.09367 9.36735 9.36735

100 1 3384.19

grade de libertate 6 Conditie Deciziex2 calculat 1.1E+07 xcalc<xtabel repartitia experimentala esteX2 Tabel 12.592 2.400667<12,592 normala cu un risc de 5%

TESTUL KOLMOGOROV-SMIRNOV,K

F(ei) F(ei)-F(zi)1 0.959081 0.873530 ### λ 1,3581 0.47985 λ/sqrt(n) 0.13581 0.25868 135.8

1.961 1.974 1.987 2.000 2.013 2.026 2.0481.948 1.961 1.974 1.987 2.000 2.013 2.026

-1.5

-1

-0.5

0

0.5

1

1.5

Page 2: Registru4

Universitatea Tehnica din Cluj NapocaFacultatea Constructii de Masini

Virag AdrianAn II. Inginerie Industriala 10.05.2010

1 0.106701 0.01302de 0.95908

Page 3: Registru4

Universitatea Tehnica din Cluj NapocaFacultatea Constructii de Masini

Virag AdrianAn II. Inginerie Industriala 10.05.2010

1.9484481.9563281.9576411.9630621.964504

1.965151.9661911.9677521.9688221.9695691.9711161.9725631.9744051.9744461.9759761.9776851.9782661.9789061.9794611.9804471.9812031.9815361.9817811.9830551.9832021.983577

1.984531.98527

1.9861961.9869021.9869281.9872691.9886421.9895241.9897361.990933

1.991421.9919191.9923741.992595

1.992691.992742

1.993461.993546

Page 4: Registru4

Universitatea Tehnica din Cluj NapocaFacultatea Constructii de Masini

Virag AdrianAn II. Inginerie Industriala 10.05.2010

1.9937761.9939951.9951811.9953161.9962771.998294

1.998311.999351.99949

2.0000392.0005622.0014452.0022592.0026312.0026972.0027742.0042692.0048852.0064532.0088842.0090742.0093342.0097442.0107792.0111562.0119152.0123582.0127682.013503

2.013882.0142262.0151522.0151542.0165672.016597

2.017242.0173132.0174922.018044

2.02192.0222242.0239672.0247642.0255292.0260782.0268532.0288752.028953

Page 5: Registru4

Universitatea Tehnica din Cluj NapocaFacultatea Constructii de Masini

Virag AdrianAn II. Inginerie Industriala 10.05.2010

2.0332292.0346632.0376972.0383782.039444

2.043892.0441142.047513