Proyecto mermelada(tipos de muestreo)
34
datos Bºrix 1 24 2 24 DE UNA POBLACION DE 200 DATOS SE SELECCIONA U 3 24 4 26 5 26 6 27 7 27 NUMEROS ALEATORIOS 8 29 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA4 9 30 1 79.01 3.17 65.79 25.76 10 31 2 45.39 119.77 51.07 119.39 11 33 3 28.56 38.16 83.6 44.79 12 34 4 94.09 36.48 116.32 109.01 13 35 5 105.42 18.2 7.76 24.13 14 36 6 119.69 2.61 82.76 39.35 15 36 7 24.23 94.47 48.96 24.05 16 36 8 58.26 14.74 18.12 48.09 17 38 9 71.71 43.62 75.15 117.36 18 38 10 63.21 4.93 27.97 90.85 19 40 11 102.15 111.7 18.1 112.96 20 41 12 118.93 48 108.6 29.78 21 41 13 53.58 66.73 79.49 62.96 22 44 14 109.96 113.86 59.27 8.84 23 47 15 105.07 105.11 64.99 27.82 24 51 16 2.54 66.07 117.31 107.13 25 51 17 27.69 105 66.3 85.21 26 51 18 25.84 37.22 50.06 28.86 27 51 19 91.3 46.81 10.97 80.17 28 51 20 79.11 80.86 34.1 55.11 29 51 30 52 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA4 31 52 79 3 65 25 32 52 45 119 51 119 33 53 28 38 83 44 34 54 94 36 116 109 35 54 105 18 7 24 36 55 119 2 82 39 37 55 24 94 48 24 38 56 58 14 18 48 39 57 71 43 75 117 40 57 63 4 27 90 41 58 102 111 18 112 42 59 118 47 108 29 43 59 53 66 79 62 44 60 109 113 59 8 45 60 105 105 64 27 46 60 2 66 117 107 47 60 27 105 66 85 48 60 25 37 50 28 49 60 91 46 10 80 50 61 79 80 34 55 51 61 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA4 52 61 1 64 24 63 51 53 62 2 60 65 61 65 54 62 3 51 56 64 60
Transcript of Proyecto mermelada(tipos de muestreo)
datos Bºrix1 242 24 DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 503 244 265 266 277 27 NUMEROS ALEATORIOS8 29 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA49 30 1 79.01 3.17 65.79 25.76
10 31 2 45.39 119.77 51.07 119.3911 33 3 28.56 38.16 83.6 44.7912 34 4 94.09 36.48 116.32 109.0113 35 5 105.42 18.2 7.76 24.1314 36 6 119.69 2.61 82.76 39.3515 36 7 24.23 94.47 48.96 24.0516 36 8 58.26 14.74 18.12 48.0917 38 9 71.71 43.62 75.15 117.3618 38 10 63.21 4.93 27.97 90.8519 40 11 102.15 111.7 18.1 112.9620 41 12 118.93 48 108.6 29.7821 41 13 53.58 66.73 79.49 62.9622 44 14 109.96 113.86 59.27 8.8423 47 15 105.07 105.11 64.99 27.8224 51 16 2.54 66.07 117.31 107.1325 51 17 27.69 105 66.3 85.2126 51 18 25.84 37.22 50.06 28.8627 51 19 91.3 46.81 10.97 80.1728 51 20 79.11 80.86 34.1 55.1129 5130 52 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA431 52 79 3 65 2532 52 45 119 51 11933 53 28 38 83 4434 54 94 36 116 10935 54 105 18 7 2436 55 119 2 82 3937 55 24 94 48 2438 56 58 14 18 4839 57 71 43 75 11740 57 63 4 27 9041 58 102 111 18 11242 59 118 47 108 2943 59 53 66 79 6244 60 109 113 59 845 60 105 105 64 2746 60 2 66 117 10747 60 27 105 66 8548 60 25 37 50 2849 60 91 46 10 8050 61 79 80 34 5551 61 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA452 61 1 64 24 63 5153 62 2 60 65 61 6554 62 3 51 56 64 60
55 62 4 64 55 65 6556 63 5 64 38 27 5157 63 6 65 24 64 5758 63 7 51 64 60 5159 63 8 63 36 38 6060 63 9 63 59 64 6561 63 10 63 26 51 6462 63 11 64 65 38 6563 63 12 65 60 64 5164 63 13 62 63 64 6365 63 14 65 65 63 2966 63 15 64 64 63 5167 63 16 24 63 65 6468 63 17 51 64 63 6469 63 18 51 55 61 5170 63 19 64 60 31 6471 63 20 64 64 54 6272 63 median 59.10 53.50 56.15 57.6573 63 var. 95.88 220.37 151.92 80.1374 63 desv. 9.79 14.84 12.33 8.9575 6476 6477 64 TABLA DE RESUMEN POR AFIJACION PROPORCIONAL78 64 ESTRATO Ne ye We Se^279 64 1 20 59.10 0.071 95.8880 64 2 20 53.50 0.071 220.3781 64 2 20 56.15 0.071 151.9282 64 4 20 57.65 0.071 80.1383 64 5 20 54.60 0.071 217.3184 64 totales 100 281.000 0.356 765.6285 6486 64 N 10087 64 n 9688 64 e 0.289 64 alfa 0.0190 64 Z 2.5891 6492 64 calculode promedio por faij. Proporcional93 6494 6495 6496 64 56.200097 6498 6499 64
100 64101 64102 64 calculo de la varianza del estimador por faij. Proporcional103 64104 64105 64106 64 0.06107 64108 64109 65
∑2
2 )(*1
=)(ne
SeneNeNe
NyeV =
∑
∑222
22
***
***
=SeWeZeN
SeWeZN
n+
=
∑ *1
= YeNeN
ye =
∑ *1
= YeNeN
ye =
110 65111 65 calculo de la varianza del estimador por faij. Proporcional112 65113 65114 65 0.25115 65116 65117 65 INTERVALO DE CONFIANZA118 65119 65120 65
LI 55.55Ls 56.85
FIJACION OPTIMA
ESTRATO Ne ye We Se^21 20 59.10 0.071 95.8842 20 53.50 0.071 220.3682 20 56.15 0.071 151.924 20 57.65 0.071 80.135 20 54.60 0.071 217.31
totales 100 281.000 0.356 765.616N 100n 96e 0.2alfa 0.01Z 2.58
calculo de la varianza del estimador por faij. Proporcional
calculo de la varianza del estimador por faij. Proporcional
MUESTRA ASIGNACION IGUALESTRATO Ne ye We Se^2
1 20 59.10 0.0712 95.8842 20 53.50 0.0712 220.368
)(=)( esyVesyS =
γ=)( esyVtey ±=
∑2
2 )(*1
=)(ne
SeneNeNe
NyeV =
)(=)( e syVe syS =
2 20 56.15 0.0712 151.924 20 57.65 0.0712 80.135 20 54.60 0.0712 217.31
totales 100 281 0.36 765.616N 100n 96.04e 0.2alfa 0.01Z 2.58
calculode promedio por asisganacion igual
56.2
calculode promedio por asisganacion igual
0.06
calculode promedio por asisganacion igual
0.24
calculode del intervalo de confianza
56.258656.1414
γ=)*)(1 2
2∑ =±±ne
SeneNeNe
NZX
ne
SeneNeNe
Nv
2
2 *)(=)1 ∑==
vs ===)
∑ *1
= YeNeN
ye =
DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 50
MUESTRA588.38
5.5938.58
110.0974
58.54116.14
88.7561.2259.7741.04
6.4747.51
105.7976.1615.67
3.25101.33
19.7769.95
MUESTRA588
538
1107358
11688615941
647
1057615
3101
1969
MUESTRA5642656
6563636564636358276064643624644063
54.60217.31
14.74
TABLA DE RESUMEN POR AFIJACION PROPORCIONALSe Ne-ye We*ye We*Se^2 ne Ne*Se^2 (Ne-ne)
9.79 1182 4.2 6.824 19 1917.68 114.84 1070 3.8 15.685 19 4407.37 112.33 1123 4.0 10.813 19 3038.47 1
8.95 1153 4.1 5.704 19 1602.68 114.74 1092 3.9 15.467 19 4346.11 160.66 5620 20.00 54.492 96 15312.316 4
SeNe
SeNenne
*
**=∑
=
∑
∑222
22
***
***
=SeWeZeN
SeWeZN
n+
= ∑ α**= eyWee =
∑ *1
= YeNeN
ye =
FIJACION OPTIMA
Se Ne-ye We*ye We*Se^2 ne Ne*Se^2 (Ne-ne)9.792 1182.000 4.2 6.824 19 1917.68 1
14.845 1070.000 3.8 15.685 19 4407.37 112.33 1123.000 4.0 10.813 19 3038.47 1
8.95 1153.000 4.1 5.704 19 1602.68 114.74 1092.000 3.9 15.467 19 4346.11 1
60.656 5620.000 20.00 54.492 96 15312.316 4
0.0586
0.242
MUESTRA ASIGNACION IGUALSe Ne-ye We*ye We*Se^2 ne Ne*Se^2 (Ne-ne)
9.792 1182 4.21 6.82 19 1917.68 114.845 1070 3.81 15.68 19 4407.37 0.8
S eNe
S eNenn e
*
**=∑
=
12.33 1123 4 10.81 19 3038.47 0.88.95 1153 4.1 5.7 19 1602.68 0.8
14.74 1092 3.89 15.47 19 4346.11 0.860.656 5620.000 20.000 54.492 96 15312.316 4.200
Ne(Ne-ne)Se^2/ne79.90
183.64126.60
66.78181.09638.01
Ne(Ne-ne)Se^2/ne Ne*Se27.583 195.841
183.640 296.896126.603 246.515
66.779 179.035181.088 294.826
586 1213
Ne(Ne-ne)Se^2/ne Ne*Se27.58 195.84
183.64 296.9
126.6 246.5166.78 179.04
181.09 294.83586 1213
Nº.datos ºBrix1 242 24 DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 503 244 265 266 277 27 NUMEROS ALEATORIOS8 29 MUESTRA 1 MUESTRA2 MUESTRA39 30 1 68.27 42.77 60.31
10 31 2 12.09 100.31 110.0211 33 3 33.02 63.53 98.3812 34 4 55.83 16.91 97.2813 35 5 99.98 114.72 6.2714 36 6 110.97 97.37 117.3715 36 7 16.79 106.81 79.7416 36 8 56.27 55.74 74.4117 38 9 109.04 81.49 85.9218 38 10 14.48 63.94 29.6819 40 11 26.58 99.3 60.3220 41 12 24 104.04 82.7421 41 13 19.68 26.79 58.9222 44 14 53.4 5.74 15.6923 47 15 7.59 24.8 90.6424 51 16 118.3 80.66 75.8325 51 17 85.11 72.05 97.7826 51 18 91.42 10.65 114.9127 51 19 21.35 10.24 115.3728 51 20 77.77 4.78 71.0129 51 valores truncados30 52 MUESTRA 1 MUESTRA2 MUESTRA331 52 68 42 6032 52 12 100 11033 53 33 63 9834 54 55 16 9735 54 99 114 636 55 110 97 11737 55 16 106 7938 56 56 55 7439 57 109 81 8540 57 14 63 2941 58 26 99 6042 59 23 104 8243 59 19 26 5844 60 53 5 1545 60 7 24 9046 60 118 80 7547 60 85 72 9748 60 91 10 11449 60 21 10 11550 61 77 4 7151 61 MUESTRA 1 MUESTRA2 MUESTRA352 61 63 59 6353 62 34 64 6554 62 53 63 64
55 62 62 36 6456 63 64 65 2757 63 65 64 6558 63 36 64 6459 63 63 62 6360 63 65 64 6461 63 36 63 5162 63 51 64 6363 63 47 64 6464 63 40 51 6365 63 62 26 3666 63 27 51 6467 63 65 64 6468 63 64 63 6469 63 64 31 6570 63 41 31 6571 63 64 26 6372 63 median 53.30 53.75 60.0573 63 var. 170.75 216.83 106.2674 63 desv. 13.07 14.73 10.3175 6476 6477 6478 6479 64 55.94080 6481 6482 6483 64 7.8384 6485 6486 6487 64 2.888 6489 6490 6491 6492 6493 64 max 65 Li Ls94 64 min 24 1 24 29.174495 64 41 2 29.17 34.3596 64 8 3 34.35 39.5297 64 5.174 4 39.52 44.7098 64 1.96 5 44.70 49.8799 64 6 49.87 55.05
100 64 7 55.05 60.22101 64 8 60.22 65.39102 64 103 64104 64105 64106 64107 64108 64109 65
rangoaintervalo(m)amplitud ( C )alfa
totales
55.940=
5
279.70=
X=∑
X
X
KX
==
7.83425=σ
4
F80)^2)-(I73+F80)^2-(H73+F80)^2-(G73+F80)^2-(F73+F80)^2-((E73=σ
1_
)_X(=σ
2
2
2
2∑
X
X
K
XX
==
7989.2=σ
4
83425.7=σ
1_
)_X(=σ∑ 2
=
=
==
X
X
K
XX
nzXIC
σ*
110 65 Li111 65 Ls112 65113 65 1 2114 65 simple sistematico115 65 promedio 55.94 47.5116 65 varianza 7.83 4.88117 65 desviacion 2.8 23.82118 65 Ls 56.44 47.97119 65 Li 55.44 47.02120 65
si vale la pena aplicar este tratamiento
DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 50
NUMEROS ALEATORIOSMUESTRA4 MUESTRA5
35.19 56.1891.15 76.8383.62 71.8276.43 45.11
2.73 104.6874.68 105.99
1.22 28.1862.24 101.9558.58 28.88
51.6 103.86114.34 97.37
34.35 23.88111.22 80.99
97.99 75.4585.57 108.9
101.71 115.2612.8 15.44
85.99 12.294.78 81.56
47.87 18.85
MUESTRA4 MUESTRA535 5691 7683 7176 45
2 10474 105
1 2862 10158 2851 103
114 9734 23
111 8097 7585 108
101 11512 1585 12
4 8147 18
MUESTRA4 MUESTRA554 6364 6464 63
64 6024 6463 6424 5163 6463 5161 6465 6454 4765 6464 6464 6464 6534 3664 3426 6460 38
55.20 57.40222.38 112.36
14.91 10.60median 279.70 55.94
sumdsuma var. 828.57desv. 63.61
f fa fr fra f*Xc26.587 8 8 0.067 0.07 212.731.762 4 12 0.033 0.10 127.0536.936 6 18 0.050 0.15 221.6242.110 4 22 0.033 0.18 168.4447.285 1 23 0.008 0.19 47.2852.459 12 35 0.100 0.29 629.5157.633 14 49 0.117 0.41 806.8762.808 71 120 1 4459.35
357.580 120 0.41 6672.81
Xc
7.83425=σ
4
F80)^2)-(I73+F80)^2-(H73+F80)^2-(G73+F80)^2-(F73+F80)^2-((E73=σ
1_
)_X(=σ
2
2
2
2∑
X
X
K
XX
==
nzXIC
σ*
55.4456.44
3estratificadi conglomerado IC
56.2 58.260.06 1.54 si vale la pena aplicar este tratamiento 0.25 1.24
56.2656.14
si vale la pena aplicar este tratamiento
1 24 DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 502 243 244 265 266 27 NUMEROS ALEATORIOS7 27 MUESTRA 1 MUESTRA2 MUESTRA38 29 1 68.86 16.21 117.529 30 2 35.85 8.58 56.43
10 31 3 6.45 24.44 3.4611 33 4 76.75 116.87 103.7212 34 5 10.11 33.93 44.8213 35 6 13.42 39.92 74.2314 36 7 63.35 75.44 10.2415 36 8 48.79 36.54 77.0916 36 9 30.07 82.35 103.8917 38 10 20.83 17.06 63.1818 38 11 35.58 1.7 58.4719 40 12 115.03 44.92 42.6720 41 13 34.45 53.77 39.9421 41 14 35.06 52.78 89.2122 44 15 29.21 98.51 99.5823 47 16 52.62 83.09 38.9524 51 17 65.75 47.9 2.9825 51 18 89.32 10.33 19.426 51 19 24.55 105.83 26.2727 51 20 19.51 36.65 104.5128 51 78.17 39.63 19.9929 51 valores truncados30 52 68 16 11731 52 35 8 5632 52 6 24 333 53 76 116 10334 54 10 33 4435 54 13 39 7436 55 63 75 1037 55 48 36 7738 56 30 82 10339 57 20 17 6340 57 35 1 5841 58 115 44 4242 59 34 53 3943 59 35 52 8944 60 29 98 9945 60 52 83 3846 60 65 47 247 60 89 10 1948 60 24 105 2649 60 19 36 10450 61 valores buscados51 61 1 63 36 6552 61 2 54 29 6353 62 3 27 51 2454 62 4 64 65 6455 62 5 31 53 60
56 63 6 35 57 6357 63 7 63 64 3158 63 8 60 55 6459 63 9 52 64 6460 63 10 41 38 6361 63 11 54 24 6362 63 12 65 60 5963 63 13 54 62 5764 63 14 54 61 6465 63 15 51 64 6466 63 16 61 64 5667 63 17 63 60 2468 63 18 64 31 4069 63 19 51 64 5170 63 20 40 55 6471 63 median 52.35 52.85 55.1572 63 var. 136.87 180.77 190.8773 63 desv. 11.70 13.44 13.8274 6375 64 MUESTREO SISTEMATICO76 6477 64 N 10078 64 n 2079 64 n ubicación de datos80 64 1 2 47.181 64 2 7 46.382 64 3 12 40.883 64 4 17 53.3084 64 5 22 45.985 64 6 27 45.586 64 7 32 4287 64 8 37 47.188 64 9 42 47.789 64 10 47 45.890 64 11 52 54.591 64 12 57 40.392 64 13 62 54.893 64 14 67 45.994 64 15 72 40.295 64 16 77 56.396 64 17 82 45.297 64 18 87 53.198 64 19 92 50.499 64 20 97 47.7
100 64 promedio 47.5101 64 var 23.82102 64 desv. 4.88103 64 z=95% 1.96104 64 INTERVALOS DE CONFIANZA105 64106 64107 64108 64109 65110 65 li 47.02
γ_* =±n
szXI
111 65 ls 47.97112 65113 65114 65115 65116 65117 65118 65119 65120 65
DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 50
MUESTRA4 MUESTRA541.58 71.2757.95 24.22
8.1 106.727.43 86.4
113.88 42.5214.28 42.63
8.75 87.5176.94 87.78
116.04 96.0455.04 115.2354.11 10.9438.18 68.84
35.7 104.219.29 78.9998.61 51.9511.85 89.3639.09 40.2390.57 88.3491.65 111.3422.72 70.24
11.6 51.29
41 7157 24
8 1067 86
113 4214 42
8 8776 87
116 9655 11554 1038 6835 10419 7898 5111 8939 4090 8891 11122 70
58 6363 5129 6427 6465 59
36 5929 6464 6465 6462 6562 3156 6354 6440 6464 6133 6457 5764 6464 6544 63
51.80 60.65201.22 60.34
14.19 7.77
MUESTREO SISTEMATICO
Intervalos 5
n
NI ==
1 242 24 DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 503 244 265 266 277 27 NUMEROS ALEATORIOS8 29 MUESTRA 1 MUESTRA2 MUESTRA3 MUESTRA49 30 1 77.95 8.55 35.85 118.8810 31 2 34.45 51.9 91.94 34.8311 33 3 55.88 47.02 94 104.8912 34 4 4.56 20.48 27.53 8.7613 35 5 68 13.33 36.54 14.314 36 6 101.07 10.82 86.8 105.6115 36 7 43.68 75.13 95.79 16.1616 36 8 51.19 92.82 21.93 59.9517 38 9 43.05 93.56 35.6 77.2618 38 10 62.24 115.94 97.65 2.9719 40 11 16.43 96.37 25.09 100.720 41 12 99.25 71.31 64.58 30.5121 41 13 55.78 96.63 58.12 43.0822 44 14 17.77 4.24 35.94 14.8723 47 15 52.91 43.92 109.35 11.6324 51 16 30.34 119.68 60.1 30.425 51 17 8.05 14.63 23.29 51.326 51 18 25.59 78.83 115.06 52.5727 51 19 56.49 17.34 85.32 16.0228 51 20 39.72 19.43 97.66 3.7329 5130 52 valores truncados31 52 77 8 35 11832 52 34 51 91 3433 53 55 47 93 10434 54 4 20 27 835 54 67 13 36 1436 55 101 10 86 10537 55 43 75 95 1638 56 51 92 21 5939 57 43 93 35 7740 57 62 115 97 241 58 16 96 25 10042 59 99 71 64 3043 59 55 96 58 4344 60 17 4 35 1445 60 52 43 109 1146 60 30 119 60 3047 60 8 14 23 5148 60 25 78 115 5249 60 56 17 85 1650 61 39 19 97 351 6152 61 MUESTREO POR CONGLOMERADO
53 6254 62 valores buscados55 62 C1 C2 C3 C456 63 64 29 54 6557 63 54 61 64 5458 63 62 60 64 6459 63 26 41 51 2960 63 63 35 55 3661 63 64 31 64 6462 63 59 64 64 3663 63 61 64 41 6364 63 59 64 54 6465 63 63 65 64 2466 63 36 64 51 6467 63 64 63 63 5268 63 62 64 63 5969 63 38 26 54 3670 63 61 59 65 3371 63 52 65 63 5272 63 29 36 47 6173 63 51 64 65 6174 63 63 38 64 3675 64 57 40 64 2476 64 yi 1088 1033 1174 97777 64 Pro.yi 54.40 51.65 58.70 48.8578 64 SUMAyi 269.6079 6480 64 N 2081 64 n 10082 64 M 1083 64 m 584 6485 64 CALCULO DE LA VARIANZA DEL ESTIMADOR86 6487 6488 64 53.9289 6490 6491 64 CALCULO DE LA VARIANZA DEL ESTIMADOR92 6493 64 58.2694 6495 6496 64 CALCULO DE LA VARIANZA ENTRE CONGLOMERADOS97 6498 6499 64100 64101 64102 64103 64104 64 291.32
m
)jY(=Y..
1-m
..)y-(yj*=E
∑ 2
2N
S
2..)y-(Yj
3.291=E
1-5
26.58*20=E
2
2
S
S
105 64106 64107 64108 64109 65 CALCULO DE LA VARIANZA DENTRO DE CONGLOMERADOS110 65111 65112 65113 65114 65115 65 C1 C2 C3 C4116 65 1 92.16 513.02 22.09 260.82117 65 2 0.16 87.42 28.09 26.52118 65 3 57.76 69.72 28.09 229.52119 65 4 806.56 113.42 59.29 394.02120 65 5 73.96 277.22 13.69 165.12
6 92.16 426.42 28.09 229.527 21.16 152.52 28.09 165.128 43.56 152.52 313.29 200.229 21.16 152.52 22.09 229.52
10 73.96 178.22 28.09 617.5211 338.56 152.52 59.29 229.5212 92.16 128.82 18.49 9.9213 57.76 152.52 18.49 103.0214 268.96 657.92 22.09 165.1215 43.56 54.02 39.69 251.2216 5.76 178.22 18.49 9.9217 645.16 244.92 136.89 147.6218 11.56 152.52 39.69 147.6219 73.96 186.32 28.09 165.1220 6.76 135.72 28.09 617.52
TOTALES 2827 4167 980 4365SUMA.SUM.
14.9173
CALCULO DE LA VARIANZA TOTAL.
27.42
1)-M(N
)y-(yij=D∑∑ 2
2j
S
1-M)*(N
)18)1(=T
222 SDNMSEM
S+
3.291=E
1-5
26.58*20=E
2
2
S
S
14.9172=D
1)-10(100
14768=D
2
2
S
S
27.4176=T
199
5456.122=T
1-10)*(20
9173.14)120(10315.291)110(=T
2
2
2
S
S
MASS
+++>
CALCULO DE LA VARIANZA DEL ESTIMADOR
1.541.24
27.4176=T
199
5456.122=T
1-10)*(20
9173.14)120(10315.291)110(=T
2
2
2
S
S
MASS
+++>
[ ] [ ] 2
2*)1_(
)1_(*)
_(*
m
1=(y..) SE
MN
NM
M
mMV
−
[ ] [ ]
1.53727=(y..)
291.315*0.05277*0.5*0.2=(y..)
315.291*)1_10(20
)1_20(10*)
10
5_01(*
5
1=(y..)
2
V
V
V
DE UNA POBLACION DE 200 DATOS SE SELECCIONA UNA MUESTRA 100 Y DE DE TAMAÑO 50
MUESTRA591.78
7.99108.08
92.9752.2723.9899.2591.21
82.177.6278.8223.73
55.911.4321.5929.5742.3244.0439.8258.17
917
1089252239991827778235511212942443958
C56427646461476464646464476233415159605763
112056.00
C564
8416464258164646464648136
529225
259
161
492430
14768
