Ćwiczenie nr 19 | |||||||
Badanie zgodności rozkładu właściwości w populacji z rozkładem normalnym | |||||||
xi | ni | xi*ni | xi - xśr | Ixi - xśrI | (xi - xśr)2ni | s(x) | c2 |
14,993 | 1 | 14,993 | 0,00062 | 0,000624999999998 | 3,90624999997069E-07 | ||
14,994 | 1 | 14,994 | 0,00162 | 0,001624999999997 | 2,64062499999058E-06 | ||
14,985 | 1 | 14,985 | -0,00738 | 0,007375000000003 | 5,43906250000478E-05 | ||
14,990 | 1 | 14,990 | -0,00238 | 0,002375000000002 | 5,64062500001168E-06 | ||
14,991 | 1 | 14,991 | -0,00138 | 0,001375000000003 | 1,89062500000829E-06 | ||
14,978 | 1 | 14,978 | -0,01438 | 0,014375000000003 | 0,000206640625 | ||
14,997 | 1 | 14,997 | 0,00462 | 0,004624999999997 | 2,13906249999742E-05 | ||
14,986 | 1 | 14,986 | -0,00638 | 0,006375000000002 | 4,06406250000257E-05 | ||
14,987 | 1 | 14,987 | -0,00538 | 0,005375000000003 | 2,88906250000276E-05 | ||
14,981 | 1 | 14,981 | -0,01138 | 0,011375000000003 | 0,000129390625 | ||
15,003 | 1 | 15,003 | 0,01062 | 0,010624999999998 | 0,000112890625 | ||
15,000 | 1 | 15,000 | 0,00762 | 0,007624999999997 | 5,81406249999593E-05 | ||
14,997 | 1 | 14,997 | 0,00462 | 0,004624999999997 | 2,13906249999742E-05 | ||
14,996 | 1 | 14,996 | 0,00362 | 0,003624999999998 | 1,31406249999838E-05 | ||
14,995 | 1 | 14,995 | 0,00262 | 0,002624999999997 | 6,89062499998187E-06 | ||
14,991 | 1 | 14,991 | -0,00138 | 0,001375000000003 | 1,89062500000829E-06 | ||
15,000 | 1 | 15,000 | 0,00762 | 0,007624999999997 | 5,81406249999593E-05 | ||
14,992 | 1 | 14,992 | -0,00038 | 0,000375000000002 | 1,40625000001343E-07 | ||
14,986 | 1 | 14,986 | -0,00638 | 0,006375000000002 | 4,06406250000257E-05 | ||
14,987 | 1 | 14,987 | -0,00538 | 0,005375000000003 | 2,88906250000276E-05 | ||
14,990 | 1 | 14,990 | -0,00238 | 0,002375000000002 | 5,64062500001168E-06 | ||
15,004 | 1 | 15,004 | 0,01162 | 0,011624999999997 | 0,000135140625 | ||
14,990 | 1 | 14,990 | -0,00238 | 0,002375000000002 | 5,64062500001168E-06 | ||
14,989 | 1 | 14,989 | -0,00338 | 0,003375000000002 | 1,13906250000129E-05 | ||
14,996 | 1 | 14,996 | 0,00362 | 0,003624999999998 | 1,31406249999838E-05 | ||
14,997 | 1 | 14,997 | 0,00462 | 0,004624999999997 | 2,13906249999742E-05 | ||
14,991 | 1 | 14,991 | -0,00138 | 0,001375000000003 | 1,89062500000829E-06 | ||
14,988 | 1 | 14,988 | -0,00438 | 0,004375000000003 | 1,91406250000274E-05 | ||
14,986 | 1 | 14,986 | -0,00638 | 0,006375000000002 | 4,06406250000257E-05 | ||
14,999 | 1 | 14,999 | 0,00662 | 0,006624999999998 | 4,38906249999719E-05 | ||
14,995 | 1 | 14,995 | 0,00262 | 0,002624999999997 | 6,89062499998187E-06 | ||
14,988 | 1 | 14,988 | -0,00438 | 0,004375000000003 | 1,91406250000274E-05 | ||
14,988 | 1 | 14,988 | -0,00438 | 0,004375000000003 | 1,91406250000274E-05 | ||
14,996 | 1 | 14,996 | 0,00362 | 0,003624999999998 | 1,31406249999838E-05 | ||
14,998 | 1 | 14,998 | 0,00562 | 0,005624999999997 | 3,16406249999624E-05 | ||
14,997 | 1 | 14,997 | 0,00462 | 0,004624999999997 | 2,13906249999742E-05 | ||
14,994 | 1 | 14,994 | 0,00162 | 0,001624999999997 | 2,64062499999058E-06 | ||
15,007 | 1 | 15,007 | 0,01462 | 0,014624999999997 | 0,000213890625 | ||
14,991 | 1 | 14,991 | -0,00138 | 0,001375000000003 | 1,89062500000829E-06 | ||
14,982 | 1 | 14,982 | -0,01038 | 0,010375000000003 | 0,000107640625 | ||
40 | 599,695 | 14,992375 | 0,001569375 | 0,006343530926494 | 47,9192936563394 | ||
ni | yi | f(yi) | pi | npi | (ni-npi)2 | ||
14,984 | 3 | -1,320 | 0,0446 | 0,0446 | 4,46 | 2,1316 | 0,477937219730942 |
14,987 | 6 | -0,847 | 0,1762 | 0,1316 | 13,16 | 51,2656 | 3,89556231003039 |
14,990 | 7 | -0,374 | 0,4364 | 0,2602 | 26,02 | 361,7604 | 13,9031667947733 |
14,993 | 6 | 0,099 | 0,7257 | 0,2893 | 28,93 | 525,7849 | 18,1743829934324 |
14,996 | 7 | 0,571 | 0,9131 | 0,1874 | 18,74 | 137,8276 | 7,35472785485593 |
14,999 | 6 | 1,044 | 0,9761 | 0,063 | 6,29999999999999 | 0,089999999999997 | 0,014285714285714 |
15,004 | 5 | 1,833 | 0,9969 | 0,0208 | 2,08 | 8,52639999999998 | 4,09923076923075 |
0,006 | 9,68 | 8 | |||||||||
0,008 | 10,93 | 8 | |||||||||
0,01 | 16,46 | 13 | |||||||||
0,012 | 19,29 | 21 | |||||||||
0,014 | 17,87 | 23 | |||||||||
0,016 | 12,86 | 13 | |||||||||
0,018 | 7,66 | 7 | |||||||||
0,02 | 5,26 | 7 | |||||||||
0 | 2 | -2 | 1 | ||||||||
0,1 | 4 | -4 | 3 | ||||||||
5 | 4 | -4 | -2 | ||||||||
10 | 4 | -4 | -1 | ||||||||
15 | 4 | -4 | 2 | ||||||||
20 | 4 | -4 | 3 | ||||||||
25 | 4 | -4 | 2 | ||||||||