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Statistics_21_-_Fall_2002_-_Purves_-_Midterm_2

# Statistics_21_-_Fall_2002_-_Purves_-_Midterm_2 - mm HTI...

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Unformatted text preview: mm _ HTI ermFHREE Statistics 21 Mr. Purves Fall 21102 Midterm II Eﬁnt Emu 11am; _ 51311 gnur ngmg - _|_ TA'E 3L ‘ﬂmg J—' M Tu get full u|:rI.='_u::11'lr Em ﬂ—HIWHHS andfm SHOW wurk. Scare: r"- W“: 21._ - —-" II?“- E, : "-_.-' 1 _ {5) 1- A lengitudinal tut-Leah.r ef inceme jnvelvee interviewing a greuE ef EDD individuals ever]: a'eu: menthe ever a ﬁve year periecl. At the begin-[mg ef the atucly, enegereeligﬂge greue happened te eara exactly fuur timea the average jneeme fer the greup. After six mentheI the ineeme uf thie persen had inereaeed by lﬂfl-L. hut everyene elee’a inceme remained the same- Thie ene change increased the eater-ageineggne 'm the greup {ever its value at the beginning eEthe study] Eek—{1} q.___._~ .-" # = .. g __ . r_-. .I | £71" “xi " ﬂea-egg .r-veerwe ef- rut—EMF («1+ eai'ﬂtf-M-Iﬁr1-*|r . LJ l ' l' Lad . I : / 51 I T I” III Hem-re I f“'|[flldlll{e{1.[hj Leif?) .lf'ﬁéal _a .F, I h : (AEEF'Hj _ cl ' . ' n I I" ._ I / lur1b‘lld4-4L1[ EUR—.wlfﬂ L“lla'ﬂi ‘l'r‘f' =1 Wine: e-Lg‘l'" II. «d If M IQCE'thL-lmj] x: zoo = _. _. 7 E ﬂee if mJﬁ- Ill'1[ﬂ¢W.-_ﬂ:‘r”,'r [ﬂ weren‘mlJLe: Jll DO i:- Jilqu ‘F‘HK m I I 2...“; I15) 2. Three dice, one reri. ene white, and ene blue: are railed nut en a table. {53,-} Find the chance the tetal humming-Egan felled en the red and ' whitedieeieﬂ:-— -- _ w ill g‘F {:15 \n— ______ -__-____ _ .. .._. LN :51 ‘ ﬂuid ' " " 'Il : it? _él- _. ___ _ __ 5 r I “ III - 3' E; .' _Qu— :— l ___5___ " ﬁe- i —- ' \I LI .' i In- ] I It"; I r I.- nw': 5; ’5 a .... - * '3‘ III It; i; 1 _ ______ _. _———— — — ___—_— ttﬂ The ﬂueedieeere-pieké’d up and reﬂect ugnm Find the chance the tetel __f, “I number at epete failed on the whiteﬂndbluﬁidipglﬁ 35L _ _ _ _ _ __ __ _ _ ._ II,I /T"£ PVIJh-qt‘uiﬂr‘f Lt"; -: 1 ft: jaw-'3 “.5 5“": 'ﬂ '3; f 4*: _ I HEM HD3- ::'_.I:1|r.-ﬂ1' :‘l 93H :-~'_': 1-0- Lemr. n M1113?“ :L-Ie, (___--- — tel The thee are picked up and reﬂect a third time. Fin the ehenee that Huh tntele—the tetal for the red and whi dice and the tutelan the white and blue wt“- k't have. a..-.--.-.--n—-—-- . 1- -~M-.---.m-—-—_m-' [Er] 3. Fred and Henry beth tees a min three times a week. Fred duee this fer 5i]- weeke; Henry.r fer l-ElEl weeke. It might +urn nut that: P {1"} Fred gets. three heede in more than 13 en" the 5f] weeks. 4 {ii} Henry gets three heads in mere than 12 {1f the lIIIUI weeks- Check [1"] one nf the three uptiens belew, and then explain ynur eheiee. , I II I: II? 1 -- ' ' .: r' --". -. {1] ie mere 1i1::el‘_r..r then {ii}. {ij and {ii} are equeuiij,r likely. [i] is less liker than {ii}. I 11 r I —- L I... I - a 1"EE. ‘L 3'31- I'll.- 1- [3' ﬁﬁPitJ-ILH mTﬂhﬁm 4L- W‘r” 5i‘ '|._.""" W“ w m Le _e.y4.._::5.en were i: W“ SHE-h '35 3 JAE-drib- ﬂrg-HIFIMJ :f‘": ﬂFﬂWEﬂk «u/ {Dr— Eli—EA {er HEFrLf «I Eu: %-50:i.25;i:j v“ EU:_éL' “W 95 “i” “W aeﬁrﬁe-i " M 5E“ “’0' t3” J "E‘I "1..- I—L’E ._-:~,%ESJHH5 of"? {€315 N 3 '3 wkjﬂF 3 Efﬁgy. . in -. ﬁe.“ In; I ernﬁiﬁ. Jrf'e "1:6? Hargréﬂ} T [a'reﬁ-ENEQF 5) Ms 9.; ‘1’5 . their ' -' '“dﬁrﬁ 5:245 _____"l 'l . . n... 5"”Lm-‘VEJWTW' (3 were *3 Fremihij rah {35 5'ggm'ii1ﬁ—i- chime qf Fred geiiin '3‘ l'e‘jolﬁin moraika EM: :5 Freermfed £21 mum in '11: date a - (Ham “nag (He. hwmeirurm end-.11.: {Lhﬂhrea‘F Fitter“ 1194133 3'5 Leedj” in “weird-[Lee {2 My Irﬁﬁé affix 'i'EI a"? “ride: r" hqr'pﬂi Cyruﬂf‘T-‘Iﬁfrﬁi (i ‘j 15. SS. +\$1HF1(‘|1), (1D) 4. a gambler playing roulette can make a ﬁner numbers bet—far EKHITLPIE, bet \$1 a"- . .- Fbur numbne- ___ _'-_ 1 .ﬁ _. -_ _. _ ___-Fau:r numb-ere meet-a t.2.4.5 - aware 2.3.55 The bet page it tn 1'. if nne at the fnur numbers: mmae up, the gambler gets the \$1 batik. alt‘lttg with with en additiclnal \$3; etherwiee the gamble: lﬂeee the \$1 atake. A mulette wheel at Nevada has 33 slats, in each at which the hall is meatball}r likely to tail. The state are numbered III, IIIIZtI lI EI . . . 33+I 36. Ft cnuple playa at the. Same reelette wheel. U'n every retainI hath husband and wife make a tau: numbers bet. The husband always beta \$1 an I, 2, 4-, Sr; and the wife \$1 an '1, 3, 5, I5. The}.-r tie thiei far tt-tettt}r epina. I l [all '[he net gain tn the. heal-Jami trum the 2:} F ' will he like the 5111“ “f " 0 draws item the bee: 1 [a e e {at "I __- .‘_._ .._ Draw a hunk in the space ahtwe- anlicate. hnw man}? tiekete are in the bank, and what is written an eaeh tieket. f '. e 5 _’ [In] The net gain tn the. cauple fmm the 20 a will he like. 1 O r . the sum nt tlrawa tram the hex: / ' ' -' =-._ Draw a hex in the space ahtwe- Indicate haw man}P ttekete are in the bee, and what is written an. eaeh tieket. [10} 5. Fifty draws will be made at randﬂm, with replaL'Ement, fmm the bﬂx: lljliEEE Find, appmximately, the. chance lit-Le sum cf the: drawsrvgjn be {Equal in 3 q;__—3.__ _ __ "-—m.-_._ . E V : r LIL-J}, (1. U.ﬂ,,l;{.!:1ﬂ A) Lu er- I S O - o = J O -_____..---——"_)uu, tullfiﬂT =.r 2"“ -"" "—-..T..-.” .. 5mm) =-:, f._if_:r-_Z’_...+ ‘5iﬂx‘11139‘ .} 5 {5} E. A large mmme hjres an outside Hume? nrganizatlnn to: interview a sample uf its. cuﬁnmers. The mmpany wants EI'LE survey urganizﬂﬁﬂn tn} 115E a probability methucl I11 ubtain the sample, This mquircﬁ the SHINE}! nrganizatinn tn satisfy twu mnditiuns when changing the custnmers for the Hample. State l1_'l_i_¢__t'yf~“U_CC|r_1ditiﬂnE-i._ I ILIJTR -—.~_.-',;¥uf?-J_I:J[.ii4.7 Ed: SEEK-Hr? 5:915; +w¢ cubfémmﬁ aw be m. ..~:::b:_bsaa 12);“..3 caihwﬂ' 1" F1“ [1 5:745- ﬁ..“'.'13j’r~|, fuming-ff Ham QW&., -£ ’1 he, Lus'HMu—3 sugrue WEI Mai-,4 a3; "45' m—w. I... hﬂuf' FE lifé‘ﬁ‘ﬁﬂ- "- {1D} F. A eebie temps“? takes a simple tandem sample at 350 lrnusehnlds from a tit}: 1with HFIHJD hnusehelds. Perl {1f the date. eelleetecl by the temper-Ly is a list at a U the BSD heusehelds in the sempie end the number at TV sets in each heuseheld. it The tetel eF this list is 53?; that is, there is a tetel cf :33? TV sets in the 350 sample heusehnllis. The SD ef the list is DEE. {:1} Estimate the average number ef T‘s" sets per heueeheld iﬁ the city- _--——\_ .= u Wren . 4-. 1,. 'x _, v”. T f —__'T""‘“'- -h~ v 3*” ademe tEJE-iewew; Eb} Alteeh an SE tn the estimate in {a}. :1] gemFL-tci * {ﬁe—#5:: - {:1 7F [11} '[n the statement helew, ﬁll in the twe blanks with numbers. The range frem te i lam" is en apprnsimele HEB-'h-eenfirienee interval Fer the average member ef T‘F sets per heueehelcl in the city. elitist . . . “mi * a“ H" 3;” Lﬂﬁ‘i-LJEHIL'E Jriefuui a"?! EEi'JHqu-iZ s. "11:32: ewes) .2. NDRMAL TABLE. 2. H2133: 1511121: 2.22 52.52 2 11.2.5 39.32 3.99 2.111 52.52 122 2-15 52-55 11-22 2-22 52-12 15-25 225 52.52 12.22 2.52 52.12 25.55 21.5 52.52 22.112 2.22 55.55 51.55 2.25 55.25 55-25 2.52 55.21 52.22 2.55 52.22 .11 .22 2.512 55.52 25.15 2.55 32.321 23.25 11.111 31.23 51.51 225 5211 54.52 2.112 22-22 52.55 2.55 22.52 52.42 2.22 25.51 55.12 2.25 25.21 ' 55.22 1.1211 24.2111 153.11 1.25 22.22 22.55 1.111 21.19 12.112 1 .15 22.52 211.22 1 .22 12.22 25.22 1 .3 12.25 25.22 1 .22 12. 12 22.511 1 .25 15.22 52.52 1 .211 12.22 33.35 | .25 111.22 32.19 ll 1- 152' L55 I-ﬁﬂ- 1-35 I-'1'|3l 1 .75 1 .311- 1 .35 J .99 J .95 2.99 2.95 2.19 2.15 2.2L"!l 2.25 2.33I 2.35 2.211 ,1 .ﬁ-I 2.59 2.55 2.1111 2.135 2.711 2.75 2.1113 2.35 2.911 2.95 H2133: | 2.95 [2.1113 1 L139 111.23- 9.4113 3.113 2.911 2.21 15.515 5.93 5.29 4.33 4-1111 3-93 3-55 3-13 2-33 2.52 2 2-1 1.93 1.75 Ijli L315 I-19 I332 13-91 13-39 13-39 13.133 13.51 .2522 315.152 32-39 39-32 99.11 91.99 91 .99 92.31 93.5'1' 92.23 92.33 95.45 95.9115- 919.213 915.34 92.22 93.513 97.113- 93.12 93.12- 93.51 93.211 93.92 99.31? 99.29l 99.31 99.213 99.49 99.515 99.153 99.113 Heidi-11: {Fat-tent} 2 1951.12.31 3.119 3.223 3.95 I31.331 3. 111 I3. 321' 3. 15 1'1. 229' 3.211 9.2311 3.25 L1 233 ' 3-311 [1.112 3.35 III- 1215 3.21] 3.123 3.25 9.13-1- :!--5|'.| 9.33“. 3.55 11.1123 3.1113- I11.13151 3.35 11.1351 3.“.‘9 1113-12 3.25 11.113!- 3.33 9.1129 3.35 11.1112 3.9151 11.11111 3-95 11.1115 2.1113 11.313 11.95 1131 I. 2.19 13.999 2.15 13.93? 2.23l 9.13133 2.25 1.1.1.1135 2.39 11.1.1132 2.35 11.933 2.213 11.932 2.25 13.1.1112 1112212 993311 991?: 99.3115 99.33".I 99.121113 99.335 99.993- 99.919 99.933 99-9-14 99.953- 99.951 99.953 99.992 99.923 99.932 99.9313 99-9311 99.991] 99.992 99 9932 99.9929 99.9959 99.99111I 99.9923 99.9929 99.9933 99.9933 99.9939 99.999I ...
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