More Practice i(*y- Name 1'. The president of a large university wishes to estimate the average age of the students presently enrolled, From past studies, the standard deviation is known to be 2 years. A sample of 50 students is selected, and themeanisfoundtobe23.2years. Findtheg0%confidenceintervalofthepopulationmean. y'51=rn€A,\ cr.-$e ,{ .,lt Agel i)s >) 11 P5 .)3,) f}f prr/,r, Aurr'' 2"r,, (*\ ti-*/-^j: enr,tlLrd w) \ I lbLls( fu) .r^l; )r-.^ )e''l fi, to'J (aln3 ) ?j, b?) 2. g, )u ilr-1i^' ;i':1,,' h*,:. aJ Jl J." ):, : t ,1bq nz 50 ,r lnacertainstate,asurveyof500workersshowedthat23%belongedtoaunion. interval of the true proportion of ryorkers who belong to a union. ,t\ oll p04..5!t 5rfu1 * prt p plrl,,,t^ = I ' I' ' [opil-'. =^,,W_ Pr i)set ^ Findtheg5%confidence ,-.',un . t.t., Q59uc'it"Jt':l- ,>3) t,1v,fry *l f,,r(Tr!,1:,1,)llpf'v,r,rurr.. tAif ,. ?0/)3):l,rzs ,)j4,03;fq" 3' i":'^^',f n\= tuul,7)\r3Tr;s (,lQl,,>bl) rQ.lDr bil.-,r; ,-"J )b,)t)u, A health care professional wishes to estimate the birth weights of infants. How large a sample must she select if she desires to be 90% confident that the true within 6 ounces of the sample mean? The @D standard deviation of the birth weights is known to be 8 ounces. E =- ,.,, (g- l,bvs 16' 3, bT1 4. 1,tatt : iL U n i- J" =- )I v\) t' 3.vtt ) (#\ 3.bt1't rt) -JG,: { \ ).143 ./ -,--"/ A company that installs swimming pools for residential customers sells a pool packageto t8% of the customers its representatives visit, lf the sales reps visit 180 customers, find the probability of their making at least 4o atleast40sales. \ n, .)e. sales' xgg,rtt r\oi.-,--, nP=tilt,,l):3aq21 tt't?'- ' nq1lil) {,[))'111'b'25 ' o ''t^9i -. f -\1-\ a-J. tE,; ,t f (? -'l-R 'rD ,]r)' 'r$ tle (z r>) = P (z? z '))>) ' dS ={bZI:n) : (,nra1 n0{ ) =-(' \.-------'-nrA( deviation of A sample of 20 tuna showed that they swim an average of 8.6 miles per hour with a standard 5. 1.6. Find the 90% confidence interval of the true mean' It 4u\ heG r- ttf, h l=ptj r\sa5 f,V,:t t tr,lo '' ^* t,\x(%) T,to'! ,bn -l | 3''-'* ',1 6. (1,1tr , f^Yn'ti'-'n dli ' , 1,>tq "yh 1,)l^ lQ proportion of individuals who travel A researcher wishes to be 92% confident that her estimate of the true overseas is within 0.04 of the true proportion. Find the sample size necessary' t ]J ) t/\n= ,4, op ,0t J/s=,0,r1 i;: h: qln5l @ t n ?qn lf 24 irons are selected, The average lifetime of irons is 9 months. The standard deviation was 3,L months. find the probability that the mean lifetime is between 8 and 10 months. f(gzaaro) = ftrcf;;er\urn^ &,LzL':ft,5 P' .3,y(;, : f (-l ,5tr z 71 t'It) 6q' 8. i )n vnttrn ['w\ = ^ ll) 7. *,{L"l r,-{ t- l'ry 6b'r>-, or\ ^rX.bohee'-' q Fl" *px '7 , '^i (h) XL ,\w_iP:i,,^ lnJe'rr 9lt0a Sult\ *.r* = ro What does the 90% confidence level mean? "a+/!.s8\ **J reg<.I \t orlcrs5 ov(r ,u', ll / \rn^. r uo-t, i tta ^[r 9t)lu df r8r Yt{ *t.^. f c, ro'rnuJv f, /,sF) r,l+ f t eo)>, n t ){
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