. :
) 1,25; =/=1.5/1.2=1.25
250 , 20%. , ( . ) , 17%. , .
:
) 7.5 .; 250-100%; -120%; ()=300.; 250-100%; -117%; =292.5; - 42.5; 50 ., 50-42.5=7.5 .
3% 5%. , .
Գ ;
) 7,6%; Iqp=Iq*Ip; Iq=Iqp/Ip=0.97/1.05=92.38; 100-92.38=7.6%
7.11. 7.12 , ' h . , . , mua ;
)14 Δpq=∑p1q1-∑p0q1=67-53=14
7.12.
| ʳ , | ֳ , | |||
| . | . | 3 | ||
| 400 | ||||
, :
) 126,4%; Ip=∑p1q1/∑p0q1=(0.5*120+0.7*10)/(120*0.4+10*0.5)=67/53=1.264=126.4%
7.13. 250 . . - 50 . ֳ ,
17%.
, * :
) 2.5% 250-; 300-117; =250*117/300=97.5 [Ip=1.17/1.2=97.5]
7.14 11% . , ? ,
ֳ
6)12,36%; p=1/q=1/0,89=112,36
7.15. 3% 5%. , .
) +8.4% Iq=Ipq/Ip=1.03/0.95=1.084
8.
8.1. 1% 1 10%. 0.954 , 1 . 100 . :
W=10; N=1000; t=2; n=100; μp= sqr(W(100-W)/n* (1-n/N))=sqr(10*90/100 *(1-100/1000))=sqr(9*0.9)=2.84; Δ=t*μp = 2*2.84=5.69=5.7%
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8.2. 19% 400 20%. 0.997 -. :
W=20; n=400; 400-20; x-100; N=2105; μp= sqr(W(100-W)/n* (1-n/N))=1.8; Δ=3*1.8=5.4
8. 3. (2%- ) , 2- , 2%, -3%. , 2- :
) ; N=100%; n=2%; W1=2%; W2=3%; μp1= sqr(W(100-W)/n* (1-n/N))=sqr(2*98/2* (1-2/100))=9.8; μp2= sqr(W(100-W)/n* (1-n/N))= sqr(3*97/2* (1-2/100))=11.9
8.4. ϳ 100 , 4 , 4. 0,954 , :
) 3.6-4.4 ; n=100; δ2=4; t=2; μx=sqr(δ2/n)=sqr(4/100)=0.2; Δ=t* μx=2*0.2=0.4; xcep= x( ) μx
8.5. 3 20%, 2 - 22%. ;
) 3 ; n=10; W1=20; W2=22; t1=t2; μp=sqr(W*(100-W)/n); μp1=sqr(20*80/10)=12.74; μp2=sqr(22*78/10)=13.099;
8.6. , , 0,683 5%, . .
) 100; t=1; μ≤5; μp=sqr(W(100-W)/n); W(100-W)/n≥25; 10W-W2≥25n; W2-10W+25n≤0; D=100-n; 100-n≥0; n≤100.
8.7. , 52 , 8,65%. , , 0,954 0,4 .
6)506; V=8.65; t=2; Δ≤0.4; xcep=52; V=(δ*100)/xcep; 8.65=δ*100/52; δ=449.8/100=4.5; μx=sqr(δ2/n); δ2/n= μx2; n= t2 *δ2/ μx2 ; n=4*4.52/0.16=506
8.8 , 120 - 2 . , 114 126 .
:
) 0,997; xcep=120; μ=2; Δ=6; xcep= x( ) μx; t-?; Δ= μ * t; t=Δ/μ=6/2=3;
8.9. . 3000 400 , 24 5 . . 0,997 , . , ;
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) 23,3-24,7; N=3000; n=400; xcep=24; δ=5; t=3; μx= sqr((δ2/n)* (1-n/N))=sqr(25/400*(1-400/3000))=0.23; Δ=3*0.23=0.7;
8.10. ,
:
) 4 . Mp/2=sqr(W(100-W)/n); Mp/4=W(100-W)/n; Mp=4W(100-W)/n
8.11. :
)
8.12. 25 "". , 25 5 . 0,954 , , .
:
) 23-27 ; n=25; xcep=25; δ=5; t=2; μ=sqr(δ2/n)=1; Δ=μ*t; Δ=1*2=2.
8.13. , 50 74%, 2,25, 3. , .
) 2,027%. xcep=74%; n=50; δ2=2.25; t=3; V=(δ*100)/xcep=1.5( 2.25???)*100/74=2.027
) 3.041???
8.14. , 50 74%, 1,5%. , 3. , . :
) 73,36-74,64%; xcep=74%; n=50; δ2=2.25; t=3; μ=sqr(δ2/n)=0.212; Δ= μ*t=0.64;
8.15. , 50 74%, 1,5%. , :
)
