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A2

2 puntos
Apartado A
En el último año pernoctaron en la ciudad 15001500 turistas en hoteles, 25002500 en apartamentos y 10001000 en autocaravanas. Se decide hacer un estudio sobre el gasto medio de estos turistas, realizando una encuesta entre 400400 de ellos.
a
Si atendemos a criterios de proporcionalidad, determinar a cuántos turistas habrá que seleccionar en cada grupo (hoteles, apartamentos, autocaravanas).1 pt
b
Los turistas de autocaravana tuvieron un gasto medio diario de 4040 euros. Considerando la variable gasto con distribución normal y desviación típica 1515 euros, calcular un intervalo de confianza al 90%90\% para el gasto medio de este tipo de turistas.1 pt

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ANEXO TABLA DISTRIBUCIÓN NORMAL Tabla de distribución normal N(0,1)N(0,1) F(z)=P(Z≤z)F(z)=P(Z\leq z)
Curva normal con el área F(z) sombreada a la izquierda de z, situado a la derecha de 0, y los extremos del eje señalados con menos infinito y más infinito.
zz0,000,01
0,00,50000,5040
0,10,53980,5438
0,20,57930,5832
0,30,61790,6217
0,40,65540,6591
0,50,69150,6950
0,60,72570,7291
0,70,75800,7611
0,80,78810,7910
0,90,81590,8186
1,00,84130,8438
1,10,86430,8665
1,20,88490,8869
1,30,90320,9049
1,40,91920,9207
1,50,93320,9345
1,60,94520,9463
1,70,95540,9564
1,80,96410,9649
1,90,97130,9719
2,00,97720,9778
2,10,98210,9826
2,20,98610,9864
2,30,98930,9896
2,40,99180,9920
2,50,99380,9940
2,60,99530,9955
2,70,99650,9966
2,80,99740,9975
2,90,99810,9982
3,00,99870,9987
3,10,99900,9991
3,20,99930,9993
3,30,99950,9995
3,40,99970,9997
3,50,99980,9998
3,60,99980,9998
3,70,99990,9999
3,80,99990,9999
3,91,00001,0000
zz0,020,03
0,00,50800,5120
0,10,54780,5517
0,20,58710,5910
0,30,62550,6293
0,40,66280,6664
0,50,69850,7019
0,60,73240,7357
0,70,76420,7673
0,80,79390,7967
0,90,82120,8238
1,00,84610,8485
1,10,86860,8708
1,20,88880,8907
1,30,90660,9082
1,40,92220,9236
1,50,93570,9370
1,60,94740,9484
1,70,95730,9582
1,80,96560,9664
1,90,97260,9732
2,00,97830,9788
2,10,98300,9834
2,20,98680,9871
2,30,98980,9901
2,40,99220,9925
2,50,99410,9943
2,60,99560,9957
2,70,99670,9968
2,80,99760,9977
2,90,99820,9983
3,00,99870,9988
3,10,99910,9991
3,20,99940,9994
3,30,99950,9996
3,40,99970,9997
3,50,99980,9998
3,60,99990,9999
3,70,99990,9999
3,80,99990,9999
3,91,00001,0000
zz0,040,05
0,00,51600,5199
0,10,55570,5596
0,20,59480,5987
0,30,63310,6368
0,40,67000,6736
0,50,70540,7088
0,60,73890,7422
0,70,77040,7734
0,80,79950,8023
0,90,82640,8289
1,00,85080,8531
1,10,87290,8749
1,20,89250,8944
1,30,90990,9115
1,40,92510,9265
1,50,93820,9394
1,60,94950,9505
1,70,95910,9599
1,80,96710,9678
1,90,97380,9744
2,00,97930,9798
2,10,98380,9842
2,20,98750,9878
2,30,99040,9906
2,40,99270,9929
2,50,99450,9946
2,60,99590,9960
2,70,99690,9970
2,80,99770,9978
2,90,99840,9984
3,00,99880,9989
3,10,99920,9992
3,20,99940,9994
3,30,99960,9996
3,40,99970,9997
3,50,99980,9998
3,60,99990,9999
3,70,99990,9999
3,80,99990,9999
3,91,00001,0000
zz0,060,07
0,00,52390,5279
0,10,56360,5675
0,20,60260,6064
0,30,64060,6443
0,40,67720,6808
0,50,71230,7157
0,60,74540,7486
0,70,77640,7794
0,80,80510,8078
0,90,83150,8340
1,00,85540,8577
1,10,87700,8790
1,20,89620,8980
1,30,91310,9147
1,40,92790,9292
1,50,94060,9418
1,60,95150,9525
1,70,96080,9616
1,80,96860,9693
1,90,97500,9756
2,00,98030,9808
2,10,98460,9850
2,20,98810,9884
2,30,99090,9911
2,40,99310,9932
2,50,99480,9949
2,60,99610,9962
2,70,99710,9972
2,80,99790,9979
2,90,99850,9985
3,00,99890,9989
3,10,99920,9992
3,20,99940,9995
3,30,99960,9996
3,40,99970,9997
3,50,99980,9998
3,60,99990,9999
3,70,99990,9999
3,80,99990,9999
3,91,00001,0000
zz0,080,09
0,00,53190,5359
0,10,57140,5753
0,20,61030,6141
0,30,64800,6517
0,40,68440,6879
0,50,71900,7224
0,60,75170,7549
0,70,78230,7852
0,80,81060,8133
0,90,83650,8389
1,00,85990,8621
1,10,88100,8830
1,20,89970,9015
1,30,91620,9177
1,40,93060,9319
1,50,94290,9441
1,60,95350,9545
1,70,96250,9633
1,80,96990,9706
1,90,97610,9767
2,00,98120,9817
2,10,98540,9857
2,20,98870,9890
2,30,99130,9916
2,40,99340,9936
2,50,99510,9952
2,60,99630,9964
2,70,99730,9974
2,80,99800,9981
2,90,99860,9986
3,00,99900,9990
3,10,99930,9993
3,20,99950,9995
3,30,99960,9997
3,40,99970,9998
3,50,99980,9998
3,60,99990,9999
3,70,99990,9999
3,80,99990,9999
3,91,00001,0000