Saltar al contenido
la cuevadel empollón
Volver al examen completo

3

2,5 puntos
Un gobierno está preocupado por el absentismo laboral de sus empleados públicos. La duración de las bajas laborales en este sector sigue una distribución normal, con varianza 144 dıˊas2144\,\text{días}^2. A partir de una muestra de tamaño 3636, se calculó el siguiente intervalo de confianza para la duración media (en días) de las bajas laborales de los empleados públicos: [34,85; 45,15][34{,}85;\ 45{,}15].
i
Determine la media muestral y el error máximo cometido en la estimación.0,5 pts
ii
Calcule el nivel de confianza de este intervalo, justificando su respuesta.1,5 pts
iii
Interprete el intervalo de confianza en el contexto del problema.0,5 pts

Formulario

Mostrar
Tabla de la distribución normal estándar Z∼N(0,1)Z\sim N(0,1)P(Z<k)=12π∫−∞ke−t2/2 dtP(Z\lt k)=\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{k}e^{-t^2/2}\,dt
Densidad y función de distribución de la normal estándar, con el área bajo la densidad a la izquierda de k sombreada, y los niveles 0,5 y 1 indicados.
kk0123456789
−3,50,00020,00020,00020,00020,00020,00020,00020,00020,00020,0002
−3,40,00030,00030,00030,00030,00030,00030,00030,00030,00030,0002
−3,30,00050,00050,00050,00040,00040,00040,00040,00040,00040,0003
−3,20,00070,00070,00060,00060,00060,00060,00060,00050,00050,0005
−3,10,00100,00090,00090,00090,00080,00080,00080,00080,00070,0007
−3,00,00130,00130,00130,00120,00120,00110,00110,00110,00100,0010
−2,90,00190,00180,00180,00170,00160,00160,00150,00150,00140,0014
−2,80,00260,00250,00240,00230,00230,00220,00210,00210,00200,0019
−2,70,00350,00340,00330,00320,00310,00300,00290,00280,00270,0026
−2,60,00470,00450,00440,00430,00410,00400,00390,00380,00370,0036
−2,50,00620,00600,00590,00570,00550,00540,00520,00510,00490,0048
−2,40,00820,00800,00780,00750,00730,00710,00690,00680,00660,0064
−2,30,01070,01040,01020,00990,00960,00940,00910,00890,00870,0084
−2,20,01390,01360,01320,01290,01250,01220,01190,01160,01130,0110
−2,10,01790,01740,01700,01660,01620,01580,01540,01500,01460,0143
−2,00,02280,02220,02170,02120,02070,02020,01970,01920,01880,0183
−1,90,02870,02810,02740,02680,02620,02560,02500,02440,02390,0233
−1,80,03590,03510,03440,03360,03290,03220,03140,03070,03010,0294
−1,70,04460,04360,04270,04180,04090,04010,03920,03840,03750,0367
−1,60,05480,05370,05260,05160,05050,04950,04850,04750,04650,0455
−1,50,06680,06550,06430,06300,06180,06060,05940,05820,05710,0559
−1,40,08080,07930,07780,07640,07490,07350,07210,07080,06940,0681
−1,30,09680,09510,09340,09180,09010,08850,08690,08530,08380,0823
−1,20,11510,11310,11120,10930,10750,10560,10380,10200,10030,0985
−1,10,13570,13350,13140,12920,12710,12510,12300,12100,11900,1170
−1,00,15870,15620,15390,15150,14920,14690,14460,14230,14010,1379
−0,90,18410,18140,17880,17620,17360,17110,16850,16600,16350,1611
−0,80,21190,20900,20610,20330,20050,19770,19490,19220,18940,1867
−0,70,24200,23890,23580,23270,22960,22660,22360,22060,21770,2148
−0,60,27430,27090,26760,26430,26110,25780,25460,25140,24830,2451
−0,50,30850,30500,30150,29810,29460,29120,28770,28430,28100,2776
−0,40,34460,34090,33720,33360,33000,32640,32280,31920,31560,3121
−0,30,38210,37830,37450,37070,36690,36320,35940,35570,35200,3483
−0,20,42070,41680,41290,40900,40520,40130,39740,39360,38970,3859
−0,10,46020,45620,45220,44830,44430,44040,43640,43250,42860,4247
−0,00,50000,49600,49200,48800,48400,48010,47610,47210,46810,4641
kk0123456789
0,00,50000,50400,50800,51200,51600,51990,52390,52790,53190,5359
0,10,53980,54380,54780,55170,55570,55960,56360,56750,57140,5753
0,20,57930,58320,58710,59100,59480,59870,60260,60640,61030,6141
0,30,61790,62170,62550,62930,63310,63680,64060,64430,64800,6517
0,40,65540,65910,66280,66640,67000,67360,67720,68080,68440,6879
0,50,69150,69500,69850,70190,70540,70880,71230,71570,71900,7224
0,60,72570,72910,73240,73570,73890,74220,74540,74860,75170,7549
0,70,75800,76110,76420,76730,77040,77340,77640,77940,78230,7852
0,80,78810,79100,79390,79670,79950,80230,80510,80780,81060,8133
0,90,81590,81860,82120,82380,82640,82890,83150,83400,83650,8389
1,00,84130,84380,84610,84850,85080,85310,85540,85770,85990,8621
1,10,86430,86650,86860,87080,87290,87490,87700,87900,88100,8830
1,20,88490,88690,88880,89070,89250,89440,89620,89800,89970,9015
1,30,90320,90490,90660,90820,90990,91150,91310,91470,91620,9177
1,40,91920,92070,92220,92360,92510,92650,92790,92920,93060,9319
1,50,93320,93450,93570,93700,93820,93940,94060,94180,94290,9441
1,60,94520,94630,94740,94840,94950,95050,95150,95250,95350,9545
1,70,95540,95640,95730,95820,95910,95990,96080,96160,96250,9633
1,80,96410,96490,96560,96640,96710,96780,96860,96930,96990,9706
1,90,97130,97190,97260,97320,97380,97440,97500,97560,97610,9767
2,00,97720,97780,97830,97880,97930,97980,98030,98080,98120,9817
2,10,98210,98260,98300,98340,98380,98420,98460,98500,98540,9857
2,20,98610,98640,98680,98710,98750,98780,98810,98840,98870,9890
2,30,98930,98960,98980,99010,99040,99060,99090,99110,99130,9916
2,40,99180,99200,99220,99250,99270,99290,99310,99320,99340,9936
2,50,99380,99400,99410,99430,99450,99460,99480,99490,99510,9952
2,60,99530,99550,99560,99570,99590,99600,99610,99620,99630,9964
2,70,99650,99660,99670,99680,99690,99700,99710,99720,99730,9974
2,80,99740,99750,99760,99770,99770,99780,99790,99790,99800,9981
2,90,99810,99820,99820,99830,99840,99840,99850,99850,99860,9986
3,00,99870,99870,99870,99880,99880,99890,99890,99890,99900,9990
3,10,99900,99910,99910,99910,99920,99920,99920,99920,99930,9993
3,20,99930,99930,99940,99940,99940,99940,99940,99950,99950,9995
3,30,99950,99950,99950,99960,99960,99960,99960,99960,99960,9997
3,40,99970,99970,99970,99970,99970,99970,99970,99970,99970,9998
3,50,99980,99980,99980,99980,99980,99980,99980,99980,99980,9998