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A Y ” $ X L ! 3 ]H
.09 & Q9 Y! * + ^ _K OK8 ! K” K K$ ,3 .[`]0 K8 “K- 6K Q9 9 A[ :2-
” 8 X 6 3 ” 0 8 J3B = :W Ja9 3 ,V
⎧H0 : ρk = 0
⎨ (b)
⎩H1 : ρk ≠ 0
Ja9 5 c “2 #V ! , .08 %! :ρk =K ,K .[fe]0K8 “K- dKM 9K O8 ! 6 3 = : – 7Z X – & 3 9 . , ‘!!
⎛ 1 + 2 ∑q2 ⎞

37138-20505

ρˆk〉 2 ⎜⎜⎜υn=1 ρˆυ ⎟⎟⎟ (g)
⎜⎟
⎝⎠
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%! ,9 9 * Z = H

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45 6 6 ! , 2- 3 4 .. ,/ 0
09 “78
; < 09 = .- :(Process Capability Ratio) B & & *+?@ A < ,> :7> ,+?@
,8 3 9 , – LSL < X < USL :* + =C
: –
C p = PCR = USL

− LSL (F)

H I9 :σ
J HK9 K KH IK9 0K9 = ,8 5 K K 9 K. ,L . – “78 6 3 08
6 K!K “K9 K- “7K8 K *HLM N : 9 3 ,M O8 ! H I9

Cˆ p = PCRˆ =USL LSL

− (P)
6σˆ

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a ij = ⎧⎨n − 1:i = j SH!
⎩− 1:i ≠ j
n
∑ a ij = a i1 + a i 2 + … + a in (u)
j

36214919034

1
1
1
1
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n
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1

1

1

1

i

n

=

S 2 =1n ⎛ X i −

1 ∑n X i2 ⎟⎞ 2 (v)
n i =1⎠
⎛ n⎞ 2
= . 2 ∑ ∑⎜ a Xij j ⎟ n − 1 n ⎝ i =1 ⎠
:W T i = ∑n a ij X j N N!
j =1
382259112995

S 2 = 1 ⋅ 12 ∑n T i 2 (Fw) n − 1 n i =1
E(S2)= E⎜⎛ 1 ⋅ 12 ⋅∑n Ti2⎞⎟
451646-13526

⎝n −1 n i=1⎠ (FF)
11 n()
= ⋅ 2 ∑E Ti2 n −1 n i=1
E( )Ti = E⎛⎜⎜∑n aij X j ⎞⎟⎟ = μ⋅ ∑n aij = 0 (FP)
⎝ j=1⎠j=1
E(Ti2)=Var( ) ( ( ))Ti + ETi 2
=Var( )Ti +0 =Var( )Ti
⎛ n⎞(Fb)
=Var⎜⎜∑aijX j ⎟⎟
⎝ j=1⎠
nnnn
=Cov(∑ ∑aijX j ,aik Xk )=∑∑aij aik Cov(X j,Xk)
j=1k=1j= =1 k 1

:W _9 V ,M x$
E(S2)=
3290543483

(
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i
T
E
n
n
2
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