STATS Formules
Chapter B Conrinous Prob)
Uniform DistibUrion
L b-c
otherwse
ves ye uncnn
valve
-
3nore Aa'e nsr vaes
PlaLz 4. ComeS
Ares Cpiobubilim
Meon
ELx a 4b midpoint
Variance Var (x) d?
(b-aY
2 d b-a
12
, Nermol DisTmbumonU ondanion date
X N CH jd*)
Populeun mean
»pdi Vanonce
o ;1
estmare
N Conver to Soe to
, se b Cre
ZX
-M
o5
Z
Speciod Vinriles .Zos
Zo
Z f,1
Zo,so5 z
23263
25153
Loo in baak
for Empericol
les
Look in bao (naprer 3 for Normod Proabilim
plor sLewness
mode
M. vartle 2)
Medan medon mean
F
Spe
Men ELXI =
r rans Sume
alanVALIace VA 2CX 36 z036
,Exponental DisTnbvTIOnS
hme
io
yant
per h musr be Same nir)
Mean E Tx M
Con
Su'Rd
Variwnce VARLx1 :d =
SKewness: Kishr skewed
X
Ferma exp CA?
e
LPc ))=
Median elalCmed)= elz
) o,5
zmad
Cmed
loto,s
vde
esn Nadion.
1 Ss erumire
5 Percerile
PX s)za4s
, Chapter Samplina Dismburions
. OF he Mean LG Popu laaion Nornad
Z- M
xSturdad error of ne
Poparton noomd, henSarpina seri bunin of
ormodlu
SisTel. Con e Fotmuden.
. L PopslaTion noT Nofmad
4Centod Limir Theocem
Ppudanien notmd bur 230
hen vse CLT
X NH
-Z =X -M
SAme formudu cs
aove, us net otmad oST. -.
,3.OF he Popsloron froporrion
Ler Y
Binon wre?Suces =
.
X Sumpe.
sampe size
Snnpe apoem
Nese P octd propomion
ur Joir Vaow,.
IF0.p 25
menbar
vsePos*
Than cAn V5eFormuloa,
o giv
n1-p)2s
-
wors inSum wa
P
Stundard ernor propoT1En
For
P N(
Mesan
EL?] EL1 = ECx
P
Variance: VR
? = v«r
() = YAR(x) = o.e (-e>
P1-Pe>
, .
X
BeTween
Xa
wsYepuleTicn Means
nde osn dan
Cre
opvk
i5 OoCmad
ane VVnGwn
Sumple Si2e 230
- . -) NM -H2
O 2xvr(x EL*
RSnote es to as thines ike
X This
n Fosmue
,Chapter 10
Contidence Lntervls)
Popdonion arumete Sampe S
.OF he MEAN
Or
renerd ule Poinr Esrimatt ) enniead Poin (Stundad en)
consdane
levd Lnove Sigif icne Level
Sarse ite SS
C1-
Oraw Groph
inro hoF sir (-)
to_codesdave
-i-a
vdves
tZ
2. VCL +Za
z
1
LCL -z
LL M
UCL Se 0/10L
o25
o25
Note TTITI/
VOL - LCL
03
,2.Saecrina Saumpe Size CMesn
C1= )hdh dererminesZ
musr now arermine
reesimanon Samole Size
n2z d Note oond jp.
,.OF Proporton
p:x
Cont o-a (P)
P ore
is
is
nwn
Setup hke SG
-4) A
Praw CrTucn&ir hodf on eirer side
teddae Z voves
2
VCL: P -
LCLP Z |e-)
LCL fVPL
, 4.Seectina Scarmple Size
2 A ve nee
Bound or ecro esrimuin
P4 c
propomn SuLesseS
Ccn be timaned rnaloor ie no
se
vn
oS
4 a2ZPC-
Chapter B Conrinous Prob)
Uniform DistibUrion
L b-c
otherwse
ves ye uncnn
valve
-
3nore Aa'e nsr vaes
PlaLz 4. ComeS
Ares Cpiobubilim
Meon
ELx a 4b midpoint
Variance Var (x) d?
(b-aY
2 d b-a
12
, Nermol DisTmbumonU ondanion date
X N CH jd*)
Populeun mean
»pdi Vanonce
o ;1
estmare
N Conver to Soe to
, se b Cre
ZX
-M
o5
Z
Speciod Vinriles .Zos
Zo
Z f,1
Zo,so5 z
23263
25153
Loo in baak
for Empericol
les
Look in bao (naprer 3 for Normod Proabilim
plor sLewness
mode
M. vartle 2)
Medan medon mean
F
Spe
Men ELXI =
r rans Sume
alanVALIace VA 2CX 36 z036
,Exponental DisTnbvTIOnS
hme
io
yant
per h musr be Same nir)
Mean E Tx M
Con
Su'Rd
Variwnce VARLx1 :d =
SKewness: Kishr skewed
X
Ferma exp CA?
e
LPc ))=
Median elalCmed)= elz
) o,5
zmad
Cmed
loto,s
vde
esn Nadion.
1 Ss erumire
5 Percerile
PX s)za4s
, Chapter Samplina Dismburions
. OF he Mean LG Popu laaion Nornad
Z- M
xSturdad error of ne
Poparton noomd, henSarpina seri bunin of
ormodlu
SisTel. Con e Fotmuden.
. L PopslaTion noT Nofmad
4Centod Limir Theocem
Ppudanien notmd bur 230
hen vse CLT
X NH
-Z =X -M
SAme formudu cs
aove, us net otmad oST. -.
,3.OF he Popsloron froporrion
Ler Y
Binon wre?Suces =
.
X Sumpe.
sampe size
Snnpe apoem
Nese P octd propomion
ur Joir Vaow,.
IF0.p 25
menbar
vsePos*
Than cAn V5eFormuloa,
o giv
n1-p)2s
-
wors inSum wa
P
Stundard ernor propoT1En
For
P N(
Mesan
EL?] EL1 = ECx
P
Variance: VR
? = v«r
() = YAR(x) = o.e (-e>
P1-Pe>
, .
X
BeTween
Xa
wsYepuleTicn Means
nde osn dan
Cre
opvk
i5 OoCmad
ane VVnGwn
Sumple Si2e 230
- . -) NM -H2
O 2xvr(x EL*
RSnote es to as thines ike
X This
n Fosmue
,Chapter 10
Contidence Lntervls)
Popdonion arumete Sampe S
.OF he MEAN
Or
renerd ule Poinr Esrimatt ) enniead Poin (Stundad en)
consdane
levd Lnove Sigif icne Level
Sarse ite SS
C1-
Oraw Groph
inro hoF sir (-)
to_codesdave
-i-a
vdves
tZ
2. VCL +Za
z
1
LCL -z
LL M
UCL Se 0/10L
o25
o25
Note TTITI/
VOL - LCL
03
,2.Saecrina Saumpe Size CMesn
C1= )hdh dererminesZ
musr now arermine
reesimanon Samole Size
n2z d Note oond jp.
,.OF Proporton
p:x
Cont o-a (P)
P ore
is
is
nwn
Setup hke SG
-4) A
Praw CrTucn&ir hodf on eirer side
teddae Z voves
2
VCL: P -
LCLP Z |e-)
LCL fVPL
, 4.Seectina Scarmple Size
2 A ve nee
Bound or ecro esrimuin
P4 c
propomn SuLesseS
Ccn be timaned rnaloor ie no
se
vn
oS
4 a2ZPC-