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Statistics_2_-_Spring_2002_-_Midterm_2

# Statistics_2_-_Spring_2002_-_Midterm_2 - Statistics 2...

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Unformatted text preview: Statistics 2 _ Second Midterm Exam 31“ W" i] Spring 2002 Printed Name {Please also 11' Signature _ Student FD ii Circie your T, E 1;: of each page} Carse PawelLesiei-ci Gang Lung James Van Camp-3n Ital 'i Show your work. A correct ansi-rer with no justification or incorrect reasoning wiii receive no credit. exam as needed. Use the normai tehie at the end of this \$13351“ ff {LE-h l. [51 A six—sided die. is railed Ian times. What is the chance 0f :1 "twa" appcaring 9 E] l_l} ti mas? ._/ g] .';. I. |Q . I .r'-f,n-._g_,; k/ ff lkﬁllﬂ I c 4-. , '“r _' ' ‘1 _t' i: — .- 1 M’- ||"-' (Ia-J - ll:"- ti- leldlr '4‘...‘ 1 .III” ‘- rr,...__l ‘7' h. {II-Hi... I: la [5] A box contains three apples and twn DHH'IEES. T7111“: fruits are draw witlmut . . - ' _-- -— F‘— 1_"cEI:_i_t_:gg‘gan What IS the chance uf gelling :1: least one nmngr: E'} I- L'hL-Uu 3. m: rial-49:: 11““ J :- 1:1”... T I'll: lﬁq Jr‘ﬂ' ._.r1-\_.r‘-j_' r_ . J1 ‘ .1 4'- _._- {ELI-ﬂu: :1: g. pr'lrs—Il‘ffd — 'IE— ' j: 1- : —" . ff. Mal .. -1' rr - . ,- . .. a _ '"’-’-"'L‘- 1» “4*:- =~J u-rwn = — .1 = T: - Taxi 6 mg ﬂ 1’3. him“. 3. [5] TWU fair coins are tossed simultanemuﬂy. Yen do RE Lhree Hanks and if you alwags get one heart and one rail appearing. you win a prize. WEE 15 the chance of winning the prize? iH .L.|- E) (33 ml“ "Ti-lI T“.- li-AAL; uni-UNI"? 1‘91...- 14-Ht —1--.'..-L';.L; I U -—' Chla- -_f “:1 wnk'hi’ .1- -.E;._' ‘A '|-F 4. [5] A hex eentm’ns three manger; and fuur apples. Appmximuteiy. what is [he ehunee that more agples than Granger; are drawn in 25 draws with replacement? —-—\—-—\_I—\_'_"‘—\—-. h D '15: r} c. {a I :2“; 1 -. ;- _; ' u I haw”; - - '- . I _ _ - H r. .11 4.»:- IL'FD Lu." : i |_ - r I r :rrflh-WF 'li-lnr .-L'_.I.rr"’t' nu In- Ll r_'. E'Iu" 5 I." c: ' .Jhr-H'l‘ - JJ' iii 'I " xLl'l‘Ii'lL-l I — _— L} I35 5 RTE-j: 1 a” = 1_-u!—:..J': p {ILFFH 11' '2.- Frﬂﬂﬂﬁdﬂﬁ r51.” _. Hv'rl' “'ffl'" ' my trier-21 mi. II'JHH. ELL: I"_ 5.: Lr_--.r Irma rut» 'rrir. ELI * fir Lu. ,i.I-—f {an LU. , L. ﬂJF‘ur" lrl'H-‘f “vb-"l— §-'{' W! m: if???" 1:": '1_E “big 14 15- 1...“ #21935 “'-‘ '\-._.-‘i —_,_ I '15— H H ‘3'? x _._.———— :- - "- _ . _ , 5 .a- Hue-3 13- '1” 1-C.11.ﬁ v3 all; |—-'"/'£'l-—| '1, -; 4 r LI '1' I} :J' J; :1 :J'H-r u "it {1' "Mam-L Mil Li? L atrial-Jr; LL‘J" DFL'Ll-rl'ﬁﬁ «a - - ' _- ~ ....~ ,__ E» A. |_,\._}— 53} -, I T . “a r (T1 - We . | r""| . r, 5. [5] A simple random sample of lﬂﬂ peeple is taken Tram Llygeﬂpulaﬂea. 31% pf the pupulatien are married. Fill in 1Il've blank and shew your work: There is apprmtimatelg,I an Bﬂ‘ﬁa chance sample euntains a percentage of married peoplf greater than or equal -v_ a: a — W —-I " t. ~——— _...h_..«‘_ __ “H: . 4 [I l _" F.- .- ' "“ _. ._ _ r , 4:;t:_f__ E‘— :_p _ *r -__‘_#__-a- .I ‘41.- . . -' _'*-"'——*-::~J+d;—-—J_ _ ee- a. If. lien-H __ m~= -— —__5_ If! rev-“H.- I'jJ-g-d elatilhi-m-i‘lu-n Will.“ 2‘5;- " M“ find.” 41L"; '24-'14“ I'.-l'"-f""-‘1 """”"""'f'P-r..aF-[J-‘ _ '_,..- Kr _ 1 - 1 I I- H _ ‘- A. Ir--::;-?F‘r I 1-. I‘M] _ g —""_ u JV 0‘1 ‘3"?! 5i, rip. I res—a2; _ -_ maﬁa—f a __.o- 'FF F. FF —\_I—‘—'_"—-\___ _,_._o—-'—'-' _— -— T“ I _,_.- _.--"-_ --.. _-..__H "'__ . L- . LH. ' .. ' mm” I +- .-'-‘t (g - ". _" a. ll “TI-LU» I :_ It”: Eu “ ’ 1" ‘-" “‘l L", "' _:'_,_',:_~"- . '- I" _,_.-- .II: J, _.--=' _ . r _. I'M-Mn; Egan. M, “.75: ‘Tr'gA-r' 1‘1 “hf-Hr”. 'r 1LI _d - - _____ -_ I. 'C'L. ' J. x— e .. ‘ a ' 5 If. _ ___E-. Th _,—-u- f F I: [II 5 " 45%;; A simple random sample was taken ofjﬁﬂﬂgsidenﬁal houses in a large city. The average number of residents per household under the age of 21 was 1.5 with an SD equal to LG. is] [4] An approximate‘ﬁEPE-zeonﬁdenee interval for the average number of residents per householkrﬁn‘the city under the age of 21 is to :5 t-l. '-' "NH-7.: t 1:» _ a {:13 _______.. F"; test:- _ -— a II i-*' H in iat- ih} [3] Copy the larger of your two answers from [a] into the blank in the following statement: There is approximately a 95% chance that the average number of residents per household under the age of 2] in the city is less than ! Fiji . Is This statement True or False. and why? heist. Elf-th- t_: no, he! so fl 1- +51le pslit-as'sr'x m- -'_ p-F-;'._-' h .a .r "L- ' I - : .- _. I; _ .t a... ~—1--_-,‘- €(&._ - -"‘u- -"'.--: -_."-- -- _- .— 1." a._-' {e} [31 Copy your answers from {a} into the blanks in the following statement: Approximately QD‘Hc- of the households in the city have between I 'I l- and ' 1“ residents under the age of 31. True or False and why? File}; l“.- J LE ‘AJ Allq‘ “I “D. J_L,-'_J_r_;:r. '9‘, Yr: [till-1:“ ELL-— I.l_|r 'JJ" 5.11.. {Elvis-a I'LL-.12 rim—got I L'IL "e; i :5. -i',-_: 1- J. "3. A 42;- ﬁleLILr r_: ="-.a' 1rd Fun..- .J-Ij; :1 -r _ e5“ H1 )‘Lut 1., ‘41:; LL -| 3: _q_ [1.13; r | “a | __..=..——-- v Table .11. HURMJLL TABLE 9' H9195: Arm 0.03 39.09 0 0.03 39.54 3.99 0.10 39.09 1.91 0.13 39.43 11.92 0.10 39.10 13.03 0.13 0.30 0.33 0.4-0 0.43 33.31 33.14 31.31 33.33 315.03 19.14 23.3! 21.31 31.0! 34.13 33.19 41.71 43.13 43.43 31.01 34.131 31.153 00.41 63.19 33.19 0.30 0.35 0.90 0.93 0.10 33.11 34.29 33.31 32.30 31.13 0. 1'3 30 .1 1 0.30 3.3.9? 0.33 11.110 0.90 23.01 0.93 13.41 1.99 24.99 59.99 1.95 99.99 99.53 1.10 11.19 12.01 1.13 30.39 14.99 1.111 19.49 95.99 1.13 13.23 1.30 11.14 1.33 13.091 31.30 1.40 14.91 33.33 1.43 13.94 53.29 13.91 30.61 I Hrfﬂu Arm ————__ 1.59 19.95 95.54 1.55 19.99 59.99 1.59 11.99 59.94 1.55 19.95 99.1 1 1.99 9.49 91.99 1.95 5.59 91.99 1.59 9.99 99.91 I .95 9.91 99.59 I .99 5.55 99.95 9.95 5.95 99.95 9.99 5.49 95 .45 9.95 4.99 95.95 9.19 4.19 95.45 9.15 5.95 95.54 9.99 5.55 99.99 9.95 9.19 99.55 9.59 9.99 99.95 9.95 9.59 99.19 9.49 9.94 95-95 9.45 1.99 95.59 9.59 1.95 99.95 9.55 1.54 99.99 9.59 1.55 99.99 9.55 1.19 99.99 2.91: 1.94 9-51.31 9.95 9.91 99.49 9.59 9.99 99.99 9.55 9.59 99.55 2.933 0.00 9911] 9.95 951 99.5; ' 3.30 11911115 lip-Imam} 1' 13911111 3.00 3.03 3.10 3.13 3.20 3.13 4m: 0.4943 99.130 0. 33 I 99.111 0.321 99.1.06 0.219 99.331 013i 99.363 0.103 99.033 0. 113 99. 903 0. 113 99.919 0.11.3 99.933 0.1011 99.944 0.0!? 0.013 0.031 0.031 0.0912 3.33 3.40 3.45 3.30 3.33 3.30 3.03 3.10 99.9.13 99.951 99.9455 99.994 99.91! 3.13 3.30 3.03 3.90 3.93 0.033 99.933 0.029 99.993 0 . 014 9'9. 953 0.090 99.990 0.013 99.992 4.00 0.013 99.9931 4.03 0.01 1 99.9949 4.10 0.009 99.9939 4 . 13 0 .001 99.9931 4.10 0.000 99.9913 4.23 0.1313 99.9919 4.30 0.0114 99.9953 4.33 0.003 99.9939 4.40 0.1311 99.9999 4.43 0.00: 99.9991 ...
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