PORTAL ESTADÍSTICA APLICADA
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DISTRIBUCIÓN PROBABILIDAD t-Student |
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n |
a |
0.40 |
0.30 |
0.20 |
0.10 |
0.005 |
0.025 |
0.010 |
0.005 |
0.001 |
0.0005 |
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1 |
0,325 |
0,727 |
1,376 |
3,078 |
6,314 |
12,71 |
31,82 |
63,66 |
318,3 |
636,6 |
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2 |
0,289 |
0,617 |
1,061 |
1,886 |
2,920 |
4,303 |
6,965 |
9,925 |
22,33 |
31,60 |
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3 |
0,277 |
0,584 |
0,978 |
1,638 |
2,353 |
3,182 |
4,541 |
5,841 |
10,22 |
12,94 |
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4 |
0,271 |
0,569 |
0,941 |
1,533 |
2,132 |
2,776 |
3,747 |
4,604 |
7,173 |
8,610 |
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5 |
0,267 |
0,559 |
0,920 |
1,476 |
2,015 |
2,571 |
3,365 |
4,032 |
5,893 |
6,959 |
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6 |
0,265 |
0,553 |
0,906 |
1,440 |
1,943 |
2,447 |
3,143 |
3,707 |
5,208 |
5,859 |
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7 |
0,263 |
0,549 |
0,896 |
1,415 |
1,895 |
2,365 |
2,998 |
3,499 |
4,785 |
5,405 |
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8 |
0,262 |
0,546 |
0,889 |
1,397 |
1,860 |
2,306 |
2,896 |
3,355 |
4,501 |
5,041 |
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9 |
0,261 |
0,543 |
0,883 |
1,383 |
1,833 |
2,262 |
2,821 |
3,250 |
4,297 |
4,781 |
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10 |
0,260 |
0,542 |
0,879 |
1,372 |
1,812 |
2,228 |
2,764 |
3,169 |
4,144 |
4,587 |
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11 |
0,260 |
0,540 |
0,876 |
1,363 |
1,796 |
2,201 |
2,718 |
3,106 |
4,025 |
4,437 |
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12 |
0,259 |
0,539 |
0,873 |
1,356 |
1,782 |
2,179 |
2,681 |
3,055 |
3,930 |
4,318 |
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13 |
0,259 |
0,538 |
0,870 |
1,350 |
1,771 |
2,160 |
2,650 |
3,012 |
3,852 |
4,221 |
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14 |
0,258 |
0,537 |
0,868 |
1,345 |
1,761 |
2,145 |
2,624 |
2,977 |
3,787 |
4,140 |
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15 |
0,258 |
0,536 |
0,866 |
1,341 |
1,753 |
2,131 |
2,602 |
2,947 |
3,733 |
4,073 |
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16 |
0,258 |
0,535 |
0,865 |
1,337 |
1,746 |
2,120 |
2,583 |
2,921 |
3,686 |
4,015 |
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17 |
0,257 |
0,534 |
0,863 |
1,333 |
1,740 |
2,110 |
2,567 |
2,898 |
3,646 |
3,965 |
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18 |
0,257 |
0,534 |
0,862 |
1,320 |
1,734 |
2,101 |
2,552 |
2,878 |
3,611 |
3,922 |
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19 |
0,257 |
0,533 |
0,861 |
1,328 |
1,729 |
2,093 |
2,539 |
2,861 |
3,579 |
3,883 |
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20 |
0,257 |
0,533 |
0,860 |
1,325 |
1,725 |
2,086 |
2,528 |
2,845 |
3,552 |
3,850 |
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21 |
0,257 |
0,532 |
0,859 |
1,323 |
1,721 |
2,080 |
2,518 |
2,831 |
3,527 |
3,819 |
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22 |
0,256 |
0,532 |
0,858 |
1,321 |
1,717 |
2,074 |
2,508 |
2,819 |
3,505 |
3,792 |
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23 |
0,256 |
0,532 |
0,858 |
1,319 |
1,714 |
2,069 |
2,500 |
2,807 |
3,485 |
3,767 |
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24 |
0,256 |
0,531 |
0,857 |
1,318 |
1,711 |
2,064 |
2,492 |
2,797 |
3,467 |
3,745 |
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25 |
0,256 |
0,531 |
0,856 |
1,316 |
1,708 |
2,060 |
2,485 |
2,787 |
3,450 |
3,725 |
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26 |
0,256 |
0,531 |
0,856 |
1,315 |
1,706 |
2,056 |
2,479 |
2,779 |
3,435 |
3,707 |
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27 |
0,256 |
0,531 |
0,855 |
1,314 |
1,703 |
2,052 |
2,473 |
2,771 |
3,421 |
3,690 |
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28 |
0,256 |
0,530 |
0,855 |
1,313 |
1,701 |
2,048 |
2,467 |
2,763 |
3,408 |
3,674 |
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29 |
0,256 |
0,530 |
0,854 |
1,311 |
1,699 |
2,045 |
2,462 |
2,756 |
3,396 |
3,659 |
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30 |
0,256 |
0,530 |
0,854 |
1,310 |
1,697 |
2,042 |
2,457 |
2,750 |
3,385 |
3,646 |
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40 |
0,255 |
0,529 |
0,851 |
1,303 |
1,688 |
2,021 |
2,423 |
2,704 |
3,307 |
3,551 |
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50 |
0,255 |
0,528 |
0,849 |
1,298 |
1,676 |
2,009 |
2,403 |
2,678 |
3,262 |
3,495 |
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60 |
0,254 |
0,527 |
0,848 |
1,296 |
1,671 |
2,000 |
2,390 |
2,660 |
3,232 |
3,460 |
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80 |
0,254 |
0,527 |
0,846 |
1,292 |
1,664 |
1,990 |
2,374 |
2,639 |
3,195 |
3,415 |
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100 |
0,254 |
0,526 |
0,845 |
1,290 |
1,660 |
1,984 |
2,365 |
2,626 |
3,174 |
3,389 |
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200 |
0,254 |
0,525 |
0,843 |
1,286 |
1,653 |
1,972 |
2,345 |
2,601 |
3,131 |
3,339 |
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500 |
0,253 |
0,525 |
0,842 |
1,283 |
1,648 |
1,965 |
2,334 |
2,586 |
3,106 |
3,310 |
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¥ |
0,253 |
0,524 |
0,842 |
1,282 |
1,645 |
1,960 |
2,326 |
2,576 |
3,090 |
3,291 |
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se conoce como 't de Student con 'n' grados de libertad. |
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Dividiendo numerador y denominador por s , resulta: |
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PREMIO NOBEL DE ECONOMÍA (1969-2016) |
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Portal Estadística Aplicada. Consultoría Estadística-Econometría |
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Sean ( x 1 , x 2 , x 3 , .... , x n , x ) n+1 variables independientes entre sí con distribución N(0, s ). Entonces la variable:
