-
z, t
, PhD -
[email protected]
-
0 ( = )
( ) ..
|| > 0 (P
-
(n>30) - : : 15 =50 Kg =6Kg. : n=64 X=47 Kg H0: X = (= 50)
Ha: (= 50)
- - 47 -50 -4664
X
X Xz
n
= = = =
-
|Z|= 4 > Z0,05 = 1,96 P Z0,01= 2,576 P Z0,001= 3,29 P
-
Z x = Z /n 95% : Z0,05 = 1,96 48,53 51,47
99% : Z0.01 = 2,576
48,07 51,93
650 1,9664
=
650 2,57664
=
x = 47
x = 47
-
z -4 -3 -2 -1 0 1 2 3 1
2 3
47 49 50 51 53 (kg)
48 52
68%
95%
99.7%
x
-
=0,05
x = 50 47 = 3 > 1,5
0,05 0,0561,96 1,96*0,75 1,564x
z zn = = =
-
95% ..: 48,53 51,47 95%
49 51 kg.
P .
-
2
(n>30) - : 1o 195 18-25 x1 = 205,6 s1 =23,3 mg/100 ml
-
2
2 239 10-15 x2=175,2 s2=21,2 mg/100 ml.
0
10
20
30
40
120 140 160 180 200 220 240 (mg/100 ml)
-
2
-
H0 : x1=x2 x1 - x2 = 0 Ha : x1 x2 x1 - x2 0 1) -:
Z = 14,08 Z0,05 = Z0,01= Z0,001=
1 2
1 2 1 22 2 2 21 2
1 2
205,6 175,2 14,0823,3 21,2195 239
x x
x x x xzs s s
n n
= = = =
++
> 1,96 P 2,576 P
-
2) 95% : 26,17 34,63 0 H0 3) :
x1 - x2 = 30,4 > 4,23 H0
2 21 2
1 2 0,051 2
205,6 175,2 1,96 2,78 1,88s sx x zn n
+ = + =
1 2 1 2
2 20,05 0,05 1,96 2,78 1,88 4,23x x x xz s z s s = + = + =
-
? ? ? ?
- t- n
-
:
n=11 x =32,36 s=7,91 mg/100ml
95% : t0,05;11-1=2,228
99% : t0,01;11-1=3,169
0,05; 1 0,05; 1n x nsx t s x tn
=
7,9132,36 2,228 27,06 - 37,6611
=
32,36 3,169*2,38 24,82 - 39,90 =
-
2 : () 2
H0 : x1=x2 Ha : x1 x2 (x1) B (x2) x12 x22 7 4 49 16 4 3 16 9 5 3
25 9 6 5 36 25 8 3 64 9 6 7 36 49 7 4 49 16 6 3 36 9 5 25 54 32 336
142
11
1
54 69
xx
n= = =
22
2
32 48
xx
n= = =
( )( )i
xx
x x nsn n
= =
2
121
1 1 11
1 11 1
( )( )i
xx
x x nsn n
= =
2
222
2 2 22
2 21 1
-
2
2 2121
2 11
1
( ) 543369 1,5
1 8
xx
nsn
= = =
2 2222
2 22
2
( ) 321428 2,0
1 7
xx
nsn
= = =
2 22 1 1 2 2
1 2
( 1) ( 1) 12 14 1,732 15
n s n ssn n
+ += = =
+
-
2
t- t0,05;15 = t0,01;15= t0,001;15 =
1 22 2
1 2
6 4 2 3,130,6391,73 1,73
9 8
x xts sn n
= = = =
++
0,001 < P
-
95%
2 21 2
1 2 0,05;151 2
6 4 2,131*0,639 0,64 - 3,36 + = =s sx x tn n
0
H0
-
2
: 40
cm 1 - 2 2 - 3 3 2 6 4 3 7 5 8 4 6 4 - 7 1 - 18 22
-
2 H0 : xM = xX Ha : xM xX x1 n1 n1x1 n1x12 x2 n2 n2x2 n2x22 3 2
6 18 1 2 2 2 4 3 12 48 2 3 6 12 5 8 40 200 3 6 18 54 6 4 24 144 4 7
28 112 7 1 7 49 5 4 20 100 . 18 89 459 . 22 74 280
1 11
1
89 4,9418
n xx
n= = = 2 22
2
74 3,3622
n xx
n= = =
-
2
2 21 121 1
2 11
1
( ) 8945918 1,11
1 17
n xn x
nsn
= = =
2 22 222 2
2 22
2
( ) 7428022 1,48
1 21
n xn x
nsn
= = =
2 22 1 1 2 2
1 2
( 1) ( 1) 18,94 31,09 1,322 38
n s n ssn n
+ += = =
+
-
2
t- t0,05;38 = t0,01;38 = t0,001;38=
1 22 2
1 2
4,94 3,36 4,3271,32 1,3218 22
x xts sn n
= = =
++
H0
P < 0,001
1,96 2,576 3,291
-
: 6
. 3 .
(d) 38,3 37,2 1,1 39,1 38,4 0,7 40,2 38,6 1,6 37,6 36,7 0,9 38,2
37,5 0,7 38,7 38,1 0,6
-
H0 : d = 0 Ha : d 0
1,1 0,7 1,6 0,9 0,7 0,6 5,6 0,936 6
dd
n+ + + + +
= = = =
2 22 2 2 2 2 2 2
2
( ) 5,61,1 0,7 1,6 0,9 0,7 0,66 0,14
1 5d
dd
nsn
+ + + + + = = =
2 0,14 0,37d ds s= = =
-
= n-1 t- t0,05;5 = t0,01;5= t0,001;5=
0 0,93 0,93 6, 20,37 0,156
d
dt sn
= = = =
2,571 4,032 6,896
H0
0,001 < P < 0,01
3
z, t 2 2 2 t- 2 2 2 2 2 Slide Number 23 2
