====== Rachunek prawdopodobieństwa i statystyka - Lista 11. ======
=====Zadanie 1.=====
$\overline X = 343$\\
0.1* (foldr1 (+) [373,284,339,340,305,386,378,335,344,346])
$S = 29.996666481460903$\\
sqrt $ 0.1 * (foldr1 (+) $ map (**2).(343-) [373,284,339,340,305,386,378,335,344,346])
Z tablic:\\
$t_9(0.9) = 1.3830$\\
$t_9(0.95) = 1.8331$\\
$t_9(0.99) = 2.8214$\\
Próbka jest mała, więc wzór nr 2\\
$ (343 - 1.3830\cdot( 29.996666481460903 / 3 ), 343 + 1.3830\cdot( 29.996666481460903 / 3 ))=(329.1715367520465,356.8284632479535) $\\
$ (343 - 1.8331\cdot( 29.996666481460903 / 3 ), 343 + 1.8331\cdot( 29.996666481460903 / 3 ))=(324.67103689094466,361.32896310905534) $\\
$ (343 - 2.8214\cdot( 29.996666481460903 / 3 ), 343 + 2.8214\cdot( 29.996666481460903 / 3 ))=(314.7891350630687,371.2108649369313) $\\
=====Zadanie 2.=====
$\overline X = 1.574$\\
$S = 0.043$\\
Z tablic:\\
$t_{25}(0.9)=1.3163$\\
$t_{25}(0.95)=1.7081$\\
$t_{25}(0.99)=2.48.51$\\
$(1.574 - t_{25}(0.9)\cdot \frac {0.043} 5 ,1.574 + t_{25}(0.9)\cdot \frac {0.043} 5) = (1.574 - 1.3163* \frac {0.043} 5,1.574 + 1.3163* \frac {0.043} 5) = (1.56267982,1.58532018)$\\
$(1.574 - t_{25}(0.95)\cdot 0.0086 ,1.574 + t_{25}(0.95)\cdot 0.0086) = (1.58868966,1.5593103400000001)$\\
$(1.574 - t_{25}(0.99)\cdot 0.0086 ,1.574 + t_{25}(0.99)\cdot 0.0086) = (1.59537186,1.5526281400000002)$\\
=====Zadanie 3.=====
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=====Zadanie 8.=====
=====Zadanie 9.=====
=====Zadanie 10.=====
=====Zadanie 11.=====
=====Zadanie 12.=====