H0H1
H1
H0
H0H1
H0H0H1
H0
α
H0H1
5%; 1%; 0,1%
H0
H0
H0
H0
H1α H0
H0
H0
H0
H1
H1
α
α= 5% 5%
H0
αobs
H1
H0
H0
H1
H0
α
αobs α H0H1α
αobs > α H0H1β
α H0H1H1
β H0H1H1
= 1 β H1H1
T1
T2X=T1T2
X=T1T2
X
µ
n= 24 <30
X
X N(µ;σ)
µ σ
H0µ= 0
H1µ > 0
α= 1 %
x=t1t2>0
H1
n= 24 xi
¯x= 4,257 s= 12,08.
Xn
¯x= 4,257
H0
X H0
X
H0XnN(0 ; σ
n)
σ
Xn
Tn=Xn0
S
n
n
H0Tnn1 = 23
Tn, α = 1 %
Tn
H0Xn
H1Xn
XnH1
¯
Xn.
Tn
Tn
IA = ]−∞;t1α] = ]−∞; 2,5] t1α= 2,5 1 α= 0,99
Tn
t=4,257 0
12,08
24
= 1,726
tIA, H0H1.
β
α= 1 %
α=PH0¯
Xn4,257=PH0(Tn1,726) .
α
α= 0,0489 = 4,89 %.
α= 4,89% > α = 1% H0
T1T2T2T1
X
X
X
1 / 4 100%