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m2sol_2 - Ste 113 7151111111_— Problem 1 For...

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Unformatted text preview: Ste 113 7151111111: _— _.._ _ Problem 1: For each [11111.1Ie111 answer true 111' £11121:- errd Stale E's-HY. {1511111 1. TF we. keep the ceflfidenue level. fixed, the 1111e1~1=111 beeemee 1111111411 115 we increase the 11311117113 size. [2 2. 'Ty 111-1 11. error 1111213111.: when we £11.11 to rejeeL an incorrect nufl 11:11 patheeie. ”T :1. Once ifs 1111111111111er1, :1 515111:- confidm111.11'111terml means. r1.1113. reeulting 111— I.e1-11111 from epaetieuler eel: of sample has 11.1111 probability 11F1111r111ai11-111g' I: the true 1'111r3meter of 11111111451. 4. Smaller t’he 11—11111 1114. 11%. the more likely 1|. '11: that the 211-111 111111111110515 is 1— ,..- torrent. 51. The Centre] T.-'1111'1| '1'11eere111 etetee 1.11111 given 1'1 1111111111111 variables {XI . M13511} drawn 1.1.11. 1111:1111 e dietri'hutien with 1111211111 11 3.1111 veri— 3.111111 1:2 1111:: average of the 111111111111 11111111131195 1112111111111 315 11 L— X L- 21:13:: W. 11:1. 1.115I-1‘ib11ted 13111111112111111111-le13.r as 11 (311.115.513.11 wiL'h 111111111 11 and 11111113111111: L: if and. 1.11111: if the original 1.11311111111’111'111 of X 15 Geueeian. f5. The Ir'1e..~1'11111111:1 likelihood est111111l.1'11‘ '11-". always an unbiened estimator. T: '1'. 11’ X 111 dietribflted e5 11. H1‘1iefim‘1'dietributiun w'II.|1_p11re.mete-r .11 the“ E1111 = 1-*’""—e’1:1:11: 1. r— 8- 11'.-‘1’1,.....Xn areihdepeurjent1251111310111 veriebhje 111111 {11.1, 11.3.1] ere rug-:11 numbers then III-[11.1.1 X. I 1' 111.13%} = {IL-111.517” I ‘1' GHL'VI:_X.;.J. [: Spring 3009' Page 1 1.11111 Fee-1. 1T5, 2121119 Name: —_._..— Etta 113 Problem 2 :' Using a lung; rm] than. has. IHngH'I ."*'-.~ gnu arc: going to 1&3; out n. fiqnztrt: pint in which the length (if eafih aide is (Lt. Thus the. Ewen. ut' the phat will he. lrt'z. Hrtwet'er, jmn do not Emma: the value of it, 50 you, decide to make n independent Inenanrementn X11 X33 3": .1 Hi the length. Assume that nnnh X; hm; mean #5 and variance (:2. at. Shnw' that if“! is not an nnhiméti entitnnmr for n53. Hint: For arty T‘l' Y, EEYQ} 21353;}- + [EH/31F. b. Fpr what m1 m4, at h in 1.115: HHHI’HELLDI' X”?- ESQ unbiased for n2? th-t.‘ Computer 5;)? — 5:52] tuft-ere 32 is the u-nhviaaaxt fiat-imretm" fat-1 sample 1 F _ z 0) EV )= Wit) HW‘U H 1‘3} 4. ‘3: “FL T Spring-20139 Page 2 of 10 Feb. lfl Eflflg Namer— — 151.1»: 113 thlem 3: 1"; random sample of ’13? TIGTIHIEHJkiflg women 01‘ 1101111111 weight- [but-1:; 11111.55 iIIIjaa-I hetwfieu 11-1. 155-. 11116. iii 1]} who had Five“ hirl. h FL‘f. 11 large metropolitan medical manta was-5 EEIHL I.:- ._r1. It was. detenrfined that 32 fill: them-,- 11II':1'.'IH ll-r-hlluifld. 111 LilLlhlItlfl 01‘105‘5' L111L11 55131-- 51'“; {'h—IHh |:'._.|'1511'I JD“ g}. 51.. Cniqulatc 3.11' uppér c_dnfidertce hound Ufiillg a E'lurlfldE-“JJCL‘ level of 99% for the. I_II'I;1pr,‘.-rl,1un III-I‘ all finch births that result in childre:1.01‘h;w |1'1I"|i]'I "might. 11.€s11nI115'.,-11c 11 111.1% confidence iflEEfl-fil for thIa prawn-Linn IIE' 51.11 11:.- 11h bliths that raIitult lIl uhihlmn 111' law lIEIth “eight. ‘5". hm. 5511111310 5120 would be required for the niuLII ul :1. 1-1-1933 aunfid-cncc intenral tr_I be $1.1 “Min-11.17114 irrespt- Iii-111T: of p? F—‘e‘f - 0.11157 + 1?- tZJDfijofl‘i—‘D 45?? 61.9919 ,_. _._.—- o ate-7 a: 52.05; Oilfflhdfim .[o. 1142'! :9 0% F] 411'? Spring 211111} Page 3 of 11] Feb: 1?. 2111111 Name: — __ Ste 113 Pml‘ilem 4?: 3'1 sample DE 12 “radon detetters 'Cif a entrain iy'pe. wits if: leer-ed~ and ear-:11 wan; exprrsecl I.“ |.[ip.t'-Z'£,-’L of radon. The. t'eeult-ing readings Were fie fellows: 1&56 93.3 91.2 9619 9&5 91.3 '|[i{J.1 lfilfifl Sufi lflTJ’ lflflfl 9311 a. W'h‘at aseuxripziun is. mama-ism}- =..n salve this preblern? If. you had Gem— puter wee-.55, how would you check whether arr mil. Hui-i Hee'iirngflfinfl was Hat-islirid'? b. Hei'ing'mede rhe required amt:LLIILLJLIIJILr dime Lh'm i'iFIJit'J- HliggCSt'th'flF 1:116: pnpularien 11193.11 reading under these conditions is different frdrzi 19G? :Spi'irrg. 20m} Page 4.1K 1U F1111. ‘17: Elm! ...
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