:
,
5
141665
: . . -14-02 ..
: . . ., ..
2016
1 酅3
2 酅.5
3 ()
() 腅..11
4 . 腅...........16
5 ⅅ..18
6 ⅅ..20
:
10,6; 9,6; 10,9; 11,6; 10,9; 11,7; 10,8; 10,9; 11,7; 10,3; 12,7; 11,9; 11,8; 12,5; 10,5; 11,6; 10,1; 11,3; 10,7; 10,5.
1) :
9,6; 10,1; 10,3; 10,5; 10,5; 10,6; 10,7; 10,8; 10,9; 10,9; 10,9; 11,3; 11,6; 11,6; 11,7; 11,7; 11,8; 11,9; 12,5; 12,7.
2) :
= 11,13. n=20
3) :
;
(9,6-11,13)+(10,1-11,13)+(10,3-11,13)+(10,5-11,13)+(10,5-11,13)+(10,6-11,13)+(10,7-11,13)+(10,8-11,13)+(10,9-11,13)+(10,9-11,13)+(10,9-11,13)+(11,3-11,13)+(11,6-11,13)+(11,6-11,13)+(11,7-11,13)+(11,7-11,13)+(11,8-11,13)+(11,9-11,13)+(12,5-11,13)+(12,7-11,13)=0;
, .
4) (. . .):
) . . . ( ):
= = 0,7987.
) . . . :
= = 0,1786.
5) n :
= = 1,9656; xi = 12,7.
t = f (q; n) = f (10%; 19) = 2,601.
q=1 - p = 1- 0,90=0,10=10% - ;
k=(n-1)=(20-1)=19 .
, ti < t, , .
= = 1,9156; xi = 9,6.
, ti < t, , .
t = f (q; n) = f (10%; 19) = 2,601.
q=1 - p = 1- 0,90=0,10=10% - ;
k=(n-1)=(20-1)=19 .
.
7) :
:
= 0,06426 ∙ 13,26= 0,8521.
.. , :
= 1,72∙0,1786= 0,3071.
tp = f(q; k)= f(10%; 19)= 1,72.
8) . . . ( 0.9):
= ∙ 0,7987= 1,0946.
c2 = f (k; q) = f (19; 95%) =10,117, .. = 3,1807.
.. q = 1 p = 1 - (1 p)/2 = 1 (1-0,9)/2 = 0,95 = 95%.
|
|
= ∙ 0,7987= 0,6341.
c2 = f (k; q) = f (19;5%) = 30,144, .. = 5,4903.
.. q = 1 p = 1 - (1 + p)/2 = 1 (1+0,9)/2 = 0,05 = 5%.
9) :
, p = 0,95.
p = 0,9.
, X = 11,13 0,3071, p = 0,95.
0,6341≤ 0,7987≤ 1,0946, p = 0,9.
:
1
10,6; 9,6; 10,9; 11,6; 10,9; 11,7; 10,8; 10,9; 11,7; 10,3;12,7; 11,9; 11,8; 12,5; 10,5; 11,6; 10,1; 11,3; 10,7; 10,5.
2
16,26; 16,24; 16,26; 16,38; 16,25; 16,25; 16,27; 16,29; 16,25; 16,17; 16,35; 16,13; 16,15; 15,67; 16,26; 16,25; 16,25; 16,25; 16,22; 16,39
:
1 .
X2.
1) :
15.67; 16.13; 16.15; 16.17; 16.22; 16.24; 16.25; 16.25; 16.25; 16.25; 16.25;
16.25; 16.26; 16.26; 16.26;16.27; 16.29; 16.35; 16.38; 16.39;
2) :
= 16,227
3)
0.033+0.013+0.033+0.153+0.023+0.023+0.043+0.063+0.023-0.057+0.123+0.097-0.077-0.557+0.033+0.023+0.023+0.023-0.007+0.163=0;
4) (. . .):
) . . . ( ):
) . . . :
5) n :
;
t = f (q; k) = f (10%; 19) = 2,601, q=1 - p = 1- 0,90=0,10=10%;
k=n-1=20-1=19.
, ti < t, , =16,39; .
= ;
t = f (q; n) = f (10%; 19) = 2,601.
q=1 - p = 1- 0,90=0,10=10% - ;
k=(n-1)=(20-1)=19 .
, ti > t, , =15,67, n=19.
=16,25632;
= ;
= ;
= = 1,7776 xi = ;
t = f (q; k) = f (10%; 18) = 2,577.
k=n-1=19-1=18 .
, ti < t, , ;
= ; =16,13;
t = f (q; n) = f (10%; 18) = 2,577.
q=1 - p = 1- 0,90=0,10=10% - ;
k=(n-1)=(20-1)=18 .
, ti < t, , .
6) :
:
= ∙ 1,033= 0,06996;
.. , :
= 1,73∙0,0752= 0,130096.
tp = f(q; k)= f(10%; 18)= 1,73.
. . . ( 0.9):
= ∙ 0,0752= 0,10411;
c2 = f (k; q) = f (18; 95%) = 9,390, .. = 3,06431;
.. q = 1 p = 1 - (1 p)/2 = 1 (1-0,9)/2 = 0,95 = 95%.
= ∙ 0,0752= 0,05938,
c2 = f (k; q) = f (18; 5%) =28,869, .. = 5,37298,
.. q = 1 p = 1 - (1 + p)/2 = 1 (1+0,9)/2 = 0,05 = 5%.
:
, p = 0,95,
p = 0,9.
, X2 = 16,25632 0,130096, p = 0,95,
0,05938≤ 0,0752≤ 0,10411, p = 0,9.
:
|
|
7) , :
= 11,13;
;
;
8) :
b1 = = = =0,00378;
b2 = = = -0,005181;
:
= 0,908.
:
=0,00000049,
.. = = 0,0007.
:
:
.
:
= 2,09 = 0,00146, =2,09. ( k=20);
:
Y=0,04211 0,00146, 0,95.
2.5. ( ) δy.
:
:
a=50 | ∆a=1 |
b=90 | ∆b=3 |
c=60 | ∆c=2 |
d=70 | ∆d=2 |
e=40 | ∆e=1 |
:
:
∆y=0,2525∙0,1006=0,0254;
δy:
δy=