====== 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.===== =====Zadanie 4.===== =====Zadanie 5.===== =====Zadanie 6.===== =====Zadanie 7.===== =====Zadanie 8.===== =====Zadanie 9.===== =====Zadanie 10.===== =====Zadanie 11.===== =====Zadanie 12.=====