BTRY
B4090.HW5Solns

# B4090.HW5Solns - BTRY 4090 STSCI 4090 Spring 201 l Homework...

• Homework Help
• studyCornell
• 7

This preview shows pages 1–7. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: BTRY 4090 / STSCI 4090 Spring 201 l Homework 5 Solutions 1. Larsen & Marx p. 360, Question 6.2.1 modiﬁed. Z’L V‘v’lo W.sz ~ *5?“ = .3 : ~ {.61 AT. I”? Ho: ﬂ=lZo (a) Ll): M\$ [20 (Cl H,1/A<I HI: /A>!Z(3 20: ~ Red‘ece z*> z“)a 1,97 'icﬁiffo Pﬂmme: P€Z > ‘l-él) T 0.9L/6Y>o.ojr&\juﬂ L‘F {:G:(fa Z Z > I‘LEH) : >01»? red'eﬁéf £15 P*W\(Ma == P(Z <—I.6i) = 0, 05‘35 <00? Reject: 0.0L! F—mime :: lZ-Cjﬁcf 2X 4: .— Zaog = -[_ ,1“, V. SFQJec-E'l 2. Larsen & Marx p. 360, Question 6.2.2 modiﬁed. 04: O.l0 of. : 0.05“: w. =: O.(\{ D( : 0.0m; G‘rlf ya/L‘ n-1 2" ~ N(o I) ” 1 Wm ’ p ( I 57* Gig: \ >2 =Cfr‘ IS‘ - (c) >7< 35—- a if: (if) >7> qs~>+ Z H'- 4.421: ‘3’< 8311: Oh §>zoaze §<38 ?‘ Or 92>!01.2; 374 35.31:. or 3?;103.ZY 57¢ 89.98 on 37> 105:1 3. Larsen & Marx p. 360, Question 6.2.4. Be sure to state the model (specifying all assumptions), the null hypothesis, the alternative hypothesis, the test statistic, the critical region, the statistical inference, and the real-world conclusion. 6.2.4 Assuming there is no reason to suspect that the polymer would shorten a til-E’s iifetnne, the altemative hypothesis should be H}: #3 :> 32,500. At the a: [3.05 level, Ha should he rejected ifthe test statistic exceeds. 3.0; = 1.64. But 2 = EEOC—32,500 W. = 1.26, implying that. the. 40001.55 ObSEI'Ved mileage increase is not statistically signiﬁcant. 4. Larsen & Marx p. 360, Question 6.2.6. 6.2.6 By deﬁnition, at: H299 31% 36.1 I Hg is true) = P M g m s’ M act/\$15" 6.0!JE aomffé P(—0.07‘ S E S 0.0?) = Oﬂﬁﬁ. The ﬁlterval (29.93 38.1) is a poor choice for 0 because it rejects Hg for the j? — values that are most. compatible with Hg {that is, closest to ya = 33}. Since the aitemative is two—sided, H0 Should he rejected if j? is; either 1)£30 - LEW/gig» =21101‘ @230 + l.91~~§1EL =32.9. «.16 «ﬁg S. Larsen & Marx p. 366, Question 6.3.4 modiﬁed. I _ nrzoo/ P:O_L(S‘ Large Sample fart“ X—b n _. Ee‘ecé F! P ~— X 6‘70 J _ mom—pt ?.03§€ > Zea 0!. r O. to : FeJecé if X> €413! d : 0.0:: red’eci: 04.: 0-01: bananas-E Reject. £16 SLACL‘ {Raf P(K3/ [is-20.51? 4 0< Mffnj mini-terse be CQ{CLA 2’an Comma/«Ema Probabili‘fﬁef 7Com BM (W,P3 Ni Beﬂ‘é X:O-IO :9 Res: ’00 o<=o.os* => L851: (03 6&7. Larsen & Marx Question 6.4.4 modiﬁed: Construct and plot the power curves for the alternative hypotheses (a) Hl : ,u > 60, (b) HI : ,u< 60, and (0) HI : ,u #60. Hal/Aréa nzfé wry . ‘ . Y-go . 2t: kl/ffr l~f5 : PCPeJ‘eCf .l/gf/M)=p(‘7>€f-6‘4\$‘ {/M‘) :P y‘” £1937:— Y/Jw > 9' {/My 16 GIQV§~¢M : Z> , 2% “7m, ) HI: <60 w y \$ ﬂ ’2 :«Lé‘z’r or Y< \$3.3 :4 z I’fS :F’(\7< 583\$ {/M) (2; 4 W) : 1° q/m: {6.) L4,: /UL=:-’“éO 6 E “ c‘f: MC {Zak/7 ZO‘OZy: L6] ede. - ' cf >7>6we or y<530 I {3 t 19(5") 6/.96 or >7<§<5°,0Lf l/M) P(>7>6I.qg, {/M) + P(>7<\$‘8.07 ,4 , ( 5<:r‘«0‘“"~/"L 61.953‘ﬂ )4—P Z4 59/ > Jig : NZ ma. 8 Hal/1‘10 H ._ﬂ#lo >140 :196 (,4 52*’:( 20-02.? ReJecé JV? 3? 6’"! "‘ or F‘gq . {I p y > ’0 +. m or :7 n :LXL/ ?_€v\'\ 59mm: P(Io— f. <y<lo+ m] “ \$.8‘1M :37 \ :F(IO m ’2. <Z<IO+T—,Z) g/m V/m g M (00 0”” 2 0 08 (e) Shrug/[2.526 m 5,6. (x) a; 50-01 6:, 9&10. Larsen & Marx p. 378, Question 6.4.10 modiﬁed. ~39 £7(5)2C>i\)€ ’4‘ / s>o m=A=I HI: A>I Eﬁﬁcﬁ :ﬁ yaV¢ (GA Ac o<= TOO/2 (A6 M:;): fC—dej : [~63 V =00! Etd‘ect" rf w’z k. Maize w~3ammq(V/\3 (a) x: P(Wik/A:{):f1£w(w}dw k WL‘grﬂ ﬁfwfw) {.r {£14 pol—7’ 016 SQMMq(V, I )_ 71:7ng p<-« ghqn_é;{_e °1£ SD‘W‘MR (‘11!) M3517 4w example Mini‘éGE‘ 0(20’0: :; k:;';f Ff}: P(Wi ¥.;¢: IA) = f # (w)0(v« ?.%y N were {NM m Feat one ammo/m Calm/Mate uscmj CMM-FFG6 140?“ my MTMéc‘é Rm.“ (at A VOM‘d i [1.02) The She of Y c; x:P(>1;.€r/9=0)=0.0r The ﬁza of Y c‘; Poi-+53} c: (6:0) 2. ED {:L‘M- Z-g-I (Larsen «3. Marx) (Afsume 6:0) DO )2 _ (2;) .s— a! 'RNOA’ “ifs/l ‘FHZON :) a ﬁfy(z)—£y(w-a) > o (a) 19— cgéswd and 64W~Z<Qﬂ (=3 Qazcaﬂand w~e~w<z<w~e Ci} (-11: wE(ze/Ze+0; 4y (Z)£y(vJ-%\ >0 VJth 9< E {W—e— y 2 (a) MC WQEZGHIZG‘PZ): I (z)£y(w~z\>o WLVQW w_e’~(< Z<g+§ '73 2' IN"; 15 1d; 1 Za<w<ZG+I 2 6" O{Llerw752) 6—H - f1d2 «HE 19+~lswcze+z Mew w—ae 29<w<ze+I : (O GTEIAQIWTs-a) 26+z—w 26+Isw<29+L 2. P(v.+y7_>}c {9:0} : ICZ—wvdw :15 1sICsZ C Sa‘ve for )2 ...1¢,/ szx <. (5) Fat {La jinx? ~€es~6 wa (acme o In? Qs~0,or 1-73 2” P(>’I > arm-[e] = €+aos~ 7-; “0.051 esaﬂr 1 MC 9~>0ﬁ§ Msinj «éLa daft“ of W {mm (a) we, fie-é :-[g=P(w>ic)r O “f 950%)“ (2.9+2.~Jc):/Z PF (‘C/Z)~!<~95(IC“)/Z “ (It—25072 r4 (Ind/Zoe: e C/a 1 r4 ’9; < 9 (C3 Pram H49. graph -:+ [5 deem 'éLa‘E' T1 R5 more Powar‘ﬁa{ T/ér‘ a9 wear- 0 éu‘é Ya F5 mare PovJU-‘A( 7£0nr (araﬁr‘ 95- QUESTION 11 0. ‘_ 0‘8 0‘6 0 A4 0.2 0‘0 I l n I n r r -1.0 :05 0.0 0,5 1.0 15 2.0 theta‘seq Plot from part (c). QUESTION 7 mu.seq mu.seq The plots from parts (a), (b) and (c) of question 7. QUESTION 9 and 10 2 g f '6— ,I \$ ! CE; I ‘c 1 .CD Q (Q , E <0, = D {I g a .5 :. >~ Lo" 5 b, q: S Yr, 6 E c E g» c; <'\! <'\l o o o , Q J <:> O I I I I I I I I I I 0 2O 4O 80 80 1 00 O 5 ’l O 'I 5 20 lambda‘seq lambda‘seq The plot from part (e) of question 9 to the left and the plot from part (g) of question 10 to the right. ...
View Full Document

• Spring '10
• -1

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern