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10. -8 points DevoreSt819 1.E.048. My Notes AskYour An artide considered various

ID: 3040873 • Letter: 1

Question

10. -8 points DevoreSt819 1.E.048. My Notes AskYour An artide considered various issues assodieted with determining endotoxin concentration. The following deta on concentration (EUfmg) in settled dust for one sample of urban homes and another of farm homes was kindly supplied by the authors of the article U: 6.0 5.0 11.0 33.0 4.0 5.0 84.0 18.0 35.0 17.0 23.0 F: 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.09.2 3.0 2.0 0.3 (a Mrt ' x 2 Determine the value of the sample standard deviation for each sample decimal places.) 241.0 for the urban sample and 128,4 or the arm sample, and 10 735 for the urban sample and 1617.94 orthe farm sa ple )(Round your answers to two Interpret these valucs | the average endotoxi concentration in urban homes, and the endotoxin concentration in a farm home typically deviates from the The endatoxin concentration in an urban home typically deviates from the mean by an amount that isSelect mean by an amount that is Soloct average cndotoxin in farm homes. Contrast veriability in the two semples. The variability in endotoxin concentration is similar in urban homes than in farm homes. The variability in endotoxin concentration is far less in urban homes than in farm homes. The variablity in endotoxin concentration is far greoter in urban homes than in farm homes (b) Compute the fourth spread for each sample and compare. Do the fourth spreads convey the same message about variability that the standard deviations do? Explain. Yes, The fourth spreads do communicate the same message as the standard deviations did. No, The fourth spreads do not communicate the same message as the standard deviations did (c)The authors of the article also provided andotaxin concentrations in dust bag dust as follows. U: 34.0 49.0 13.0 33.0 24.0 24.0 35.0 104.0 34.0 40.0 38.0 10 F: 2.0 63.0 .0 17.0 35.0 11.0 17.0 13.0 5.0 27.0 23.0 28.0 10.0 13.0 0.2 Construct a comparative baxplot (as did the paper) Urban-bag Urban-bag Urban-bag Urban-bag Farm-set Farm-set Farm-set Urban-set Urban-set Urban-set Urban-set Concentration Concentration Concentration 0 20 40 60 80 100 0 20 40 60 80 100 0 20 40 60 80 100 0 20 40 60 80 100 Compare and contrast the four semples. (Select all that apply.) The endotoxin concentration in settled dust generally exceeds that of beg dust. The endotoxin concentration in farm homes generally exceeds that in urban homes. The endotoxin concentration in bag dust generally exceeds that of settled dust. a Settled dust in farm homes shows far less variability than any other scenario. Settled dust in urban homes shows far less variability than any other scenario O The endotoxin concentration in urban homes generally cxceeds that in farm homes.

Explanation / Answer

##by using R software

U=c(6,5,11,33,4,5,84,18,35,17,23)
> U
[1] 6 5 11 33 4 5 84 18 35 17 23
> F=c(4,14,11,9,9,8,4,20,5,8.9,21,9.2,3,2,3)
> F
[1] 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.0 9.2 3.0 2.0 3.0
> Var=var(U)
> Var1=var(F)
> SDU= sqrt(Var) ##Standard deviation of urban
> SDU
[1] 23.35575
> SDF= sqrt(Var1) ##Standard deviation of farm
> SDF
[1] 5.861716

The endotoxin concentration in an urban home typically deviates from the mean deviates by amount of 23.3557 he average endotoxin in an urban home and The endotoxin concentration in an farm home typically deviates from the mean deviates by amount of 5.86

The variability in endotoxin concentration is far greater in urban homes than farm homes.

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