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Kap T Peru ktskaffnungar Stick Prov : I l , 4.3 , 6,5 , 4,7 , 7,2 It ! Gi = lnrstangdfoiettbalterii firman Gi E O kind ( M ; t ) ( E ( Gi ) =u , V Cgi ) = T ) a) Buikema obs . staking an air n e t paidauphgfvis.be#--g--- In -2.5 OBS . skaltucig I 5,56 bio s = I = 5,56 tin T :$ , S = 1,236 by E Cei ) = ECI ) - Ect E Gi ) =L ZEKI = u ( reinter aides renting ) vinegar e5 ) - - Hassi ) - - ' a. Even ) - E C :aL÷fmTmH )

paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

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Page 1: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

Kap T. Peru ktskaffnungar StickProv : I l, 4.3 , 6,5

,4,7, 7,2

It! Gi = lnrstangdfoiettbalterii firman

Gi E O kind ( M ; t ) ( E (Gi ) =u,V Cgi ) = T )

a) Buikema obs . stakingan air n e tpaidauphgfvis.be#--g---In -2.5OBS

. skaltucig I5,56

bios= I = 5,56 tin

T:$, S = 1,236

by E Cei ) = ECI) - Ect E Gi ) =L ZEKI = u ( reinteraidesrenting )

vinegar e5 ) --Hassi ) -- 'a. Even ) - E C :aL÷fmTmH )

Page 2: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

DUM CE ) Css:p;gingham ti )g*= S =L

,236

0139

by B. esteem en skulking on standard arrrkelsen fois kalturgeu arm .

d Cei ) = FIT = "f÷ = o,553 ( medel fel for""m

-

Page 3: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

7. 14 { = antal in sour fur bear offer 1000 h

} E Bin ( nip ),

O,l,

2,

.. .

,h

p* = I,O,I, I

,.- - ,

In

a) Vitken f- oidelnnig harp *= In EB in (n ; P )b) Visa att p

* ai enV.a-ntevardesmkhigskattuiugavp.ECp* ) = E ( In ) = In ECE ) = In his =P ( V.V .R

.! )

C) Bestow Varransen for P* .

V ( P ' ) -- V ( En ) = the VCs > = In hpc l -p ) =P )

om h 330 ( VCs ) > lo )

p * = say Ncp ; )Cas

Page 4: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

d) Hur start n for att standardarrrkelsen forPtt solos ?

✓ ( p* ) =P )h

1) ( Pt) = PCnM Egos ⇐ In £0052 ⇒ n I ÷%sz= 100

Lecturing : utnyltyaartt PU - p ) EQ 251( fcp) =P ( I - p ) =p - P2, f

'

7=1 - 2p=o ⇐ p - I )

Page 5: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

KAI Konfidensinterr

Stick 'prov Gc, Ez , - -

- seen

{ c. C- NC -Mgr) - oo credoI

µ*=5 (skating aver )

* f.95%

,( 99%

,99.9%

, 90% )I

#

ME(IIe ).

4-d) '00%in

felmargrnal

Page 6: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

FALI G, ,

. . . , Gn stickeror, konfudeuseuterrallfoi.ec

Antag att { c. EN (hit ) ,

T kind-

vet h*=5EN( u ; Fa )Vetoeksa

g- -µ 812

⇒e- Neon )

-1212 142- 1,96 95% 1,96

PC -Xyz < §fncdqz)=I -g - 2.58 99%2.58

- 3.29 99,9%3,29

hosut.ie urohkheterna !

Page 7: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

T-da,zeI¥rn ⇒ µ - 5-idg.tn

{ -a⇒

< date ⇒ h > E - dye Faj

PCI - d%En< n - Iida, En ) - I -a

ht ( I Idqz En ),

-d) coo % - enter vallskattonag-

konfialengrad

Kowfedenslnterv\\ ME ( Ethan E ) , (1-2) 100%

Page 8: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

8. 10 Gi - Sepe Kone . Dag i

{ i C- Ncn; 2)

u*=5 c-Nlu : En )Efrain stick privet : I = 2.52mg le n = 30

for 99% rkoufideusgrad Noooo,

= 25758qg%

he ( I think Eu ) 457 £47#

ME (oh, 52 I 25758¥ ) 5=252

-

UE ( 2,52£ Eiggfebmarginee

he ( 1,57; 3,47 ),@ 9% )

Tolkning : Med 99% siekerhetfl % risk att fel )Sae in deuverkligasyrekonc .

i Vatter

Mellon 1,5 7-angle 03,47 .mg/l.

Page 9: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

by Kan man med running sicker beefPesta att u =3

.O ?

Nej.

? he Cl

g § l" " " "

"""⇐%)

( I

Page 10: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

Falle Kou fi dens enter Vall fit u , T otcand

{ , . . y Gn stick poor

A- u tag Gi E N ( u; r ) ,Tokarid

ii. E en ( ni En )f-*= S

II et en - i ),

t - fir delving med tr - i frihebgraderMrn

ten-Y

a- th - M O ten- it

42 £12

Page 11: paidauphgfvis.be#--g--- Buikemadixon.hh.se/bertil/Kurser/AppliedMath3/VT20/veckansPadda7.pdf · M; t) (E(Gi) =u, VCgi) = T) a) Buikema obs paidauphgfvis.be#--g---. staking an air

PC - tan? a TEA cE£ ) - i - a

::i:÷::÷÷::hefts IEEE)