7.1. . 6 , : 99,9; 99,8; 99,6; 99,1; 99,2; 99,2%.
.
. ,
n ᒺ , xi i- .
S2
ϳ ,
() S
( )
1. S, , , .
1. , . ,
7.2. ᒺ 1%- 40%- =10 2. :
) ³ ᒺ P=0,95, 50 .
) ³ , ( ) , 50 .
) ᒺ , P=0,95.
. ,
,
N(0;1).
) , ᒺ ( ) 0,95 . . Z 0,95. Z N(0;1),
(z) ( N(0;1)). ,
(z)([2] .3 .304, [3] .2 .297) z*, (z)=0,975.
,
ϳ , :
, 95% .
.
. z : [1] .2 .192, [2] .2 .303, [3] .3 .299. , . ̳ 0(z) [0;z], [- ; , z*,
|
|
.
) (.))
z*:
.
ϳ , z :
. (z) , :
(z)
(z*)=(1,18)=0,881
) () P=0,95, z*, . (z*) 0(z*).
(z*) ([2] .3 .304, [3] .2 .297) 0(z*) ([1] .2 .192, [2] .2 .303, [3] .3 .299)
Z*=1,96.
ᒺ n:
ϳ , ᒺ
7.3. . 95- :
0,96;0,90;0,98;0,82;0,83;0,87;0,94;0,99;0,81.
. ( 30),
.
n ᒺ , i - ,
ϳ ()
t * - ( T, , ).
([1] .6 .195, [2] .6 .307, [3] .4 .302.) ( ), ( )
. , ([2] .6 .307, [3] .4 .302), ([1] .6 .195, [3] .5 .302.),
ϳ ()
, 0,95 [0,844;0,936].
7.4. Y :
Y |
1) , .
2) , , .
. Y 1- .
|
|
, X Y , .
T:
( ) , , ([2] .5 .306.) T
- (Te>T*), 0,05 R .
, 0,05 ( 0,95) , ( ) Y ( ) .
˳ X Y
a, b ,
- Y X , - , - .
:
( ϳ) R,
n - ᒺ ,
- - { Xn }, {Yn} .
, .
X | Y | |||||
-8 | -16 | |||||
-9 | -9 | |||||
-10 | -26 | |||||
-6 | -9 | |||||
-2 | -4 | |||||
R= | 0,90969 |
X | Y | X2 | X*Y |
247,8889 | 1171,77 | ||
a= | 1,670423 | ||
b= | 58,28451 |
ϳ , :
Y X
- 95% : X Y