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Let Y1 < Y2 < · · · < Y8 be the order statistics of eight

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 5E Chapter 6.3

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 5E

Let Y1 < Y2 < · · · < Y8 be the order statistics of eight independent observations from a continuous-type distribution with 70th percentile π0.7 = 27.3.

(a) Determine P(Y7 < 27.3).

(b) Find P(Y5 < 27.3 < Y8).

Step-by-Step Solution:
Step 1 of 3

:l~ • ex. Gr~~ o.h\s.-<3m \o -the~~-eclctto. H~..- ~\Il.otShe ~rc:i n ct.\fe ...h'CC.he horlw .s.OV\.~l indicA\t'e c.\ecs-u'sin~ l.l.o.wc\qs:.slaMa..clc:ubooh.0."r(~ ~)c\qs-s 'W\\cloi~'cs. A~e Ex:Cr e\r1:\ctlc.r~u• r 's(.:.vlc)a~m.\C4bo~t" 'i'it-8~~ t.J 'I11 {, ()...... 7- ----- - -- ~--- Section4 One-way ANOVA: height(cm) versus job Source DF SS MS F p job 3 123 41 0.39 0.762 Error 36 3792 105 Total 39 3915 s = 10.26 R-Sq 3.14% R-Sq(adj) 0.00% Individual 95% Cis For Mean Based on Pooled StDev Level N Mean StDev +---------+---------+---------+--------- admin 10 175.29 12.20 (-------------*------------) clerical 10 174.57 7.17 (------------*------------) constr 10 176.54 10.27 (------------*------------) sales 10 171.76 10.74 (-------------*------------) +---------+---------+---------+--------- 165. 0 170.0 175.0 180.0 Pooled StDev 10.26 Section 5 Tabulated statistics: job, satisfaction Rows: job Columns: satisfaction 1 2 3 4 5 All admin 0 0 1 5 4 10 clerical 2 4 1 2 1 10 cons tr 0 1 2 4 3 10 sales 2 5 2 1 0 10 All 4 10 6 12 8 40 Cell Contents: Count Pearson Chi-Square 19. 800, DF 12, P-Value 0.071 Section 6 Correlations: height(cm), income Pearson correlation of height(cm) and income -0.229 P-Value = 0.154 Regression Analysis: income versus height(cm) The regression equation is income= 192952 - 715 height(cm) Predictor Coef SE Coef T p Constant 192952 86056 2.24 0.031 height(cm) -715.2 492.3 -1. 45 0.154 Descriptive Statistics: income Variable N N* Mean SE Mean StDev Minimum Ql Median Q3 Maximum income 40 0 68125 4939 31237 25206 40264 66702 92506 132806 Section 7 Descriptive Statistics: height(cm) Variable sex N N* Mean SE Mean St Dev Minimum Ql Median height (cm) f 20 0 166.78 1. 39 6.24 152.40 165.10 166.05 m 20 0 182.29 1. 42 6.37 172. 70 176.60 181. 30 Variable sex Q3 Maximum height(cm) f 168.13 179.10 m 185.40 195.00 *There is one section of this output that was not used to complete any of the problems. Write a research question that would be answered using that section of output. r--vcd0e 7"< r«i\-10'"jrd Ho .-10~ .C:S -Nfdid nof CY\d ~~< '-c' tc.e one«HM \v1q\1-\ic ~\,.'\ lvY1on3\~seY\LJobs. Pteci 'tc;\~oY\x .)(. .oo .&.19 'l .~'i5'f..'i,5 .1~S .'.)()- .CJ\r . "IS ::. 1''"' \. 0 -·'t'r0 \. ~4S'0 ~ \. 7"15"~~o \.SC>- \.'H 0 ~.oo-~.'(q 0 ~.A'iS \ ~.7&.15"7'-l5 35' "\. ~:; 7 3.~ E; ~1i"t"rcnlo e~ SQtwiple 1) ,,'lI 7'i \O(p\~' l'i~b J.\1' ''°4 ~) 7~ ns 7~ 7~ 7&, 7'f71 71 71 11 W\('CC oS~Ulf~\Scdioo/ /~lp:ti\"c:qd (Ctr\S~~ 1 I'o io\'\vsb/ci·2-sa>te -z-= '~;\oo=3.7S isS'~te-tc"\... '' i.OV\O h.it~UhC\.l\~ Ex} Suppo('·~ boxs.\Pu~ c~~~CCoto\hcwc Q.Q.ct,\'Y\~ci3n'\ 0 \,'fow\1 C~-\C\nd.atd.ov-tbcu\'\o-t.f\rd~ boxo~ P~l Cjc£oo. wc~it~\',. ntC~Qn,~U' \,\o~. ''·"4;ou~us }:cts.l 'Zsco•e is inqn ~ ''A) ·,~n.~<4 l\\~ l,.&l- \C.b to(lO-1) 0 ~b \7'°''' - I~ \'n c: 3b 77'9' 4"1 ,,,b 7l:5110 ,.., ~ "1,f80 75"0 tl ' h ,a.fOOf\V'<>t ex\Cc.lc.1 VC,4itoc-i,'iA~cW'lp.c.s• ~i >~ 7, 'S77" 7-S'o''t '7~S""l7" )..\0(a;'-l3-(7-SOJl... ').~\9"\ \O(lO-\l 7f,9>'17, 7't '"A'il 7'i.;4~1 i ISO"ll 7I "o'\°' 7q ").""\ 71)0 ~&,\:\' v~r\co .~S Cc\W--:~C~..,. o~~''~At~ec.. ~')..1&\ .-'\ssla;ti Sia.n.":cllc."\~r\c\'\(Alrs\O'Tt""edt(4\w l ~) SiQntl.atelco.l.\iCiCc.. - ------------------- ,, MAT-\~ ~.5" lot\s i·eio~e "otv.. Jh~ 76 1"- IC>S'o 'TO '' ~o "'"'~'s s l f)(F)1'the. ~ C(_vco•·e.Y-he.nout\\-e-r\\ : xrx'>Q1t l·5!~K IQR ::Q'!Ql = '60-b~ ::I~ Q, -l·'DIQR. Q 3+1.sI~R '%- \.5 (~1i) "liil·S(l~) 60 x <6'0 ~her MA't-1~ I J,C:OYc\ ExcfeQ'tDImo~\~ie\:>oJ-tr-i ..'"\~ -wh\s exentlthe m\n.mG\\IC\;.),~~ is NOTcoU'\\l~ ~ *: _ po-t Qn Q't)veQVlot\\ev'4.\ue \ 'Ul\ \l'&UtlI\U l" '°'S70 7~ ,5Cllf\C105 Probail b\ Ia. bw,~hi:mctrbeo~c.lovl c.o\Llr-ed.o~e\\C>C.AJ exwkcnis tptobabo~e\ec Qrn'dj\C~~rb\e '-\ ').'::. \ ~~!!. E") wM-{is.~lf~~ rpor-t\o\r~Md.Qrb\e.s' "t~' J..1~~1 e11w~c d1hcperun.-to\redmetrb~es .L3\ o c) I"·l './, E:W~- hthero~o bs,e\\ret''rbc1ini~tlcor~e\\ow _3.}_- orJE J1 =~o 1>_~3 _ ~6\'j "J..7. ~)wncrit lo\.o~.\e~\div\aptohc.bl\i *~EC\Ch~b1\t ibetU1eCcn\d.1 P(bh..+ P(~el +PC1wc\\1= ~ An ovtc.owit~~i~~tho\~ sl'•-l"i'j>-Cel~thaV\\ U"\CCwf1C\\owf>(O~b\\{~ Plre=.\"S\ (blue or 4e=1- . I'\S~'<5' A\eveY\~consc.\ ~u\esdt;t he \pro\> lo~sts\.5.~~ E~ l'C\s.-t°~~t~ o\4R\~' feclc\\Ukd.etevn'linrncoiti.e3rovp hClvw41chect o\ih\~omcn'.WorlCup.lsi~\bk i-h~i1sould -ihe ~robe ~&i!t.\Ho--'tht\sQ.\sH.:Qmo.Mi~pco>\'- Vcto\\ x PCx) 0 . 00\f, . 0)..150 I ~ .l'il). 3 .>~l:l.. L{ .~o'' .'tbBb MAT~l').. '3.cow\'d f.1!.. \-coC4o"\ l-\i~ >

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Then, find the answer using the output. :.,'toe'''· o.'-j\;/()' ,,,e -'IkC>··!\ I~\\¥\Yct·r.1:-,l ·l''d ,Cl, The\.:"- 'YIi..Y\ ··~nee)Jc\,~wc Gf\c eve· 4,:Ap-er-,:l-,,ot\.dl'h1'1or c-~ 11zk 1n b( 11c1nte fXYI p . ;_q'-j.G') Source DF Seq SS Adj SS Adj MS F sex 1 2405.60 2405.60 2405.60 62. 24 0.000 job 3 122.92 122.92 40.97 1. 06 0.380 Sc r-vq\vc

Step 2 of 3

Chapter 6.3, Problem 5E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

The full step-by-step solution to problem: 5E from chapter: 6.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. The answer to “Let Y1 < Y2 < · · · < Y8 be the order statistics of eight independent observations from a continuous-type distribution with 70th percentile ?0.7 = 27.3.(a) Determine P(Y7 < 27.3).(b) Find P(Y5 < 27.3 < Y8).” is broken down into a number of easy to follow steps, and 38 words. This full solution covers the following key subjects: Continuous, determine, distribution, ind, independent. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Since the solution to 5E from 6.3 chapter was answered, more than 509 students have viewed the full step-by-step answer.

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Let Y1 < Y2 < · · · < Y8 be the order statistics of eight