2 una empresa fabrica focos que tienen una duracin aproximadamente distribuida de forma

normal con una desviacin estndar de 40 horas. Si una muestra de 30 focos tiene una duracin

promedio de 800 horas encuentre un intervalo de confianza de 95% para la media de poblacin de

los focos que produce esta empresa.

Para nuestro caso se tomaron 100 muestras cada una de 30 focos para las mismas se calcularon

sus medias, y limites superior e inferior para el intervalo de confianza de 95%, los resultados se

presentan a continuacin. Para cada intervalo se verifico si la media de 800h se encontraba dentro

del intervalo, si se obtiene un resultado positivo se pone un 1 y si se obtiene un resultado negativo

se pone 0, al final se suman y se obtiene el total de intervalos validos.

x media L Inferior L Superior 801,73181 787,417993 816,045626 1

804,665734 790,351918 818,97955 1

809,166296 794,85248 823,480113 1

812,722123 798,408307 827,035939 1

798,398025 784,084209 812,711841 1

802,86472 788,550904 817,178536 1

796,386879 782,073063 810,700695 1

800,049008 785,735192 814,362825 1

797,759481 783,445665 812,073297 1

811,544531 797,230715 825,858347 1

798,330432 784,016616 812,644249 1

803,75127 789,437454 818,065086 1

810,628422 796,314606 824,942239 1

793,910323 779,596507 808,224139 1

794,722379 780,408563 809,036195 1

791,124159 776,810343 805,437975 1

799,296135 784,982318 813,609951 1

797,172019 782,858203 811,485835 1

803,669639 789,355822 817,983455 1

808,767255 794,453439 823,081071 1

800,240497 785,926681 814,554313 1

800,674315 786,360499 814,988131 1

784,140938 769,827122 798,454754 0

808,496956 794,18314 822,810772 1

800,349628 786,035812 814,663444 1

794,431225 780,117408 808,745041 1

801,060916 786,747099 815,374732 1

804,441319 790,127503 818,755135 1

810,222082 795,908266 824,535898 1

806,282565 791,968749 820,596381 1

802,941795 788,627979 817,255611 1

798,374821 784,061005 812,688638 1

805,51958 791,205763 819,833396 1

814,792652 800,478836 829,106468 0

795,642327 781,328511 809,956143 1

782,345623 768,031807 796,659439 0

798,05554 783,741724 812,369356 1

794,237069 779,923253 808,550885 1

802,019788 787,705972 816,333604 1

802,589436 788,27562 816,903252 1

799,02586 784,712044 813,339676 1

793,102802 778,788986 807,416618 1

809,251592 794,937776 823,565409 1

804,449157 790,135341 818,762973 1

800,570613 786,256797 814,884429 1

799,836294 785,522478 814,150111 1

803,429045 789,115229 817,742861 1

799,559432 785,245616 813,873248 1

806,859201 792,545385 821,173017 1

803,017627 788,70381 817,331443 1

800,908415 786,594599 815,222231 1

808,111322 793,797506 822,425138 1

795,856558 781,542742 810,170374 1

793,272948 778,959132 807,586764 1

803,365803 789,051986 817,679619 1

804,810414 790,496598 819,12423 1

798,775983 784,462167 813,089799 1

792,707792 778,393976 807,021608 1

806,838148 792,524332 821,151964 1

811,256479 796,942663 825,570295 1

815,91198 801,598164 830,225796 0

799,439386 785,12557 813,753203 1

816,69252 802,378704 831,006337 0

805,304588 790,990772 819,618404 1

806,714235 792,400419 821,028051 1

794,206557 779,892741 808,520374 1

803,893519 789,579703 818,207335 1

795,76169 781,447874 810,075507 1

800,633505 786,319689 814,947321 1

787,03429 772,720474 801,348107 1

809,520418 795,206602 823,834234 1

811,043407 796,729591 825,357223 1

808,235382 793,921566 822,549198 1

806,153064 791,839248 820,46688 1

788,691063 774,377247 803,00488 1

810,809223 796,495407 825,123039 1

803,735501 789,421685 818,049317 1

797,448097 783,134281 811,761913 1

800,488955 786,175139 814,802771 1

804,855722 790,541906 819,169539 1

805,17665 790,862834 819,490466 1

794,677786 780,36397 808,991603 1

806,22489 791,911074 820,538706 1

800,871467 786,557651 815,185283 1

792,624164 778,310348 806,93798 1

782,009559 767,695742 796,323375 0

806,154216 791,8404 820,468032 1

800,302906 785,98909 814,616723 1

790,586801 776,272985 804,900617 1

800,270343 785,956526 814,584159 1

800,122556 785,80874 814,436372 1

791,187606 776,87379 805,501422 1

797,018479 782,704663 811,332296 1

807,735089 793,421273 822,048905 1

799,012355 784,698539 813,326172 1

785,387385 771,073568 799,701201 0

807,660661 793,346844 821,974477 1

795,032708 780,718892 809,346524 1

809,151507 794,83769 823,465323 1

811,110578 796,796762 825,424395 0

Suma 92

El total nos da un valor de 92 de un esperado de 95.