Berkeley - MSE - 117

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - MSE - 102

Berkeley - CHEM ENG - 178

ChemE 178: Homework #6 Solutions1.) Polymer blends are to be made from a poly(ethylenepropylene) (h-PEP) of weightaverage molecular weight Mw = 175,000, Mw/Mn=1.01 and a perdeuteratedpoly(ethylenepropylene) (d-PEP), Mw=200,000, Mw/Mn=1.01. The d-PEP is

Berkeley - CHEM ENG - 178

ChemE 178: Homework #6Due Friday October 241.) Polymer blends are to be made from a poly(ethylenepropylene) (h-PEP) of weightaverage molecular weight Mw = 175,000, Mw/Mn=1.01 and a perdeuteratedpoly(ethylenepropylene) (d-PEP), Mw=200,000, Mw/Mn=1.01. T

Berkeley - CHEM ENG - 178

CHE/CHEM 178 Fall 2008Homework #10 Solutions1.Batch 1 of nearly monodisperse flexible polymer A has a molecular weight of 25 kg/mol,a statistical segment length of 0.7 nm and a monomer molecular weight of 125 g/mol.Batch 2 of the same, nearly monodis

Berkeley - CHEM ENG - 178

CHE 178Problem Set #2 Solutions11. Example on reverse engineering1 wi M i Number average molecular weight:Mn =Weight average molecular weight:M n = (wi M i )(Eq. 1.6, pg. 13 Y&L)(Eq. 1.7, pg. 13 Y&L)Company A1 = 0.5M1 = 20,000 g/mol2 = 0.5

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#1DueFriday,September5,20081. A polymer is synthesized by the step growth polymerization. Analysis of the productshowed that it is composed of a series of fractions of molecules of differentmolecular weights:FractionNo.1234567

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#1DueFridaySept5,20081. Apolymerissynthesizedbythestepgrowthpolymerization.Analysisofthe productshowedthatitiscomposedofaseriesoffractionsofmoleculesof differentmolecularweights:FractionNo.12345678wt.fraction0.100.140.15

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#2DueFriday,Sept12,20081. Abimodalmolecularweightdistributionconsistsofn 1moleculesofmolecularweightM1andn2moleculesofmolecularweightM2.Atrimodalmolecularweightdistributionconsistsofn1moleculesofmolecularweightM1,n2moleculesofmolecul

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#3Solutions1. Glycerol can react with octadecanedioic acid to form a crosslinked polymer.OOHOOHoctadecanedioic acidOHHOHOOHethylene glycolglycerolOHa. Describe the chemical reactions that would occur when the abovereagents

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#3DueFriday,September191. Glycerol can react with octadecanedioic acid to form a crosslinked polymer.OOHOOHoctadecanedioic acidOHHOOHethylene glycolHOglycerolOHa. Describe the chemical reactions that would occur when the ab

Berkeley - CHEM ENG - 178

Ch E 178: Problem Set #3 Solutions1. Glycerol can react with octadecanedioic acid to form a crosslinked polymer.OOHOOHoctadecanedioic acidOHHOHOOHethylene glycolglycerolOHa. Describe the chemical reactions that would occur when the aboverea

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#4DueFriday,September261.(SimilartoY&Lproblem2.10)Infreeradicalpolymerization,theimportant rateconstantsdependontemperatureas:Ek init = Ainit exp ( init ) .(initiation)RTEpk p = Ap exp () (propagation)RTEk term = Aterm exp ( t

Berkeley - CHEM ENG - 178

ChE178:ProblemSet#4DueFriday,September261.(SimilartoY&Lproblem2.10)Infreeradicalpolymerization,theimportant rateconstantsdependontemperatureas:Ek init = Ainit exp ( init ) .(initiation)RTEpk p = Ap exp () (propagation)RTEk term = Aterm exp ( t

Berkeley - CHEM ENG - 178

Homework #4 Solutions1. In free radical polymerization, the important rate constants depend on temperature as:Ek init = Ainit exp( init ) . (initiation)RTEpk p = A p exp() (propagation)RTEk term = Aterm exp( term (termination)RTwhere T is temp

Berkeley - CHEM ENG - 178

ChemE 178: Homework #5 SOLUTIONSDue Friday, October 171.) Consider a freely-jointed chain with a distance between joints of 0.6 nm.a.) Compute the root mean square end-to-end distance of such a chain that has 10000 links.For a FREELY JOINTED CHAIN:r

Berkeley - CHEM ENG - 178

ChemE 178: Homework #5Due Friday, October 171.) Consider a freely-jointed chain with a distance between joints of 0.6 nm.a.) Compute the root mean square end-to-end distance of such a chain that has 10000 links.b.) Compute the radius of gyration of th

Berkeley - CHEM ENG - 178

ChemE 178HW7Due Oct311.) The following osmotic pressure data was obtained for polystyrene in toluene at 25 0C.Concentration (g/cm3 x 103) (cm toluene)2.560.3253.80.5455.380.8937.81.5788.861.8563The density of toluene is 0.8618g/cm and g=9

Berkeley - CHEM ENG - 178

ChemE 178HW7Due Oct311.) The following osmotic pressure data was obtained for polystyrene in toluene at 25 0C.Concentration (g/cm3 x 103) (cm toluene)2.560.3253.80.5455.380.8937.81.5788.861.856The density of toluene is 0.8618g/cm3 and g=98

Berkeley - CHEM ENG - 178

Chem Engr 178: HW 8Due Friday Nov 71.) A sample of polyethylene that is cooled so rapidly that it doesn't crystallize has adensity of 865 kg/m3 while if the polyethylene were completely crystalline, it would havea density of 1000 kg/m3 and a specific

Berkeley - CHEM ENG - 178

Chem Engr 178: HW 8 Solutions1.) A sample of polyethylene that is cooled so rapidly that it doesn't crystallize has adensity of 865 kg/m3 while if the polyethylene were completely crystalline, it would havea density of 1000 kg/m3 and a specific enthalp

Berkeley - CHEM ENG - 178

Chemical Engineering 178 SOLUTIONS (30pts total)Homework 9Due 11/141.) 4 pts total: The following data for the Tg of polystyrene as a function of molecularweight was obtained by Fox and Flory (J. Poly Sci 14, 315 (1954)M (g/mol)Tg (C)85,00010019,

Berkeley - CHEM ENG - 178

Chemical Engineering 178Homework 9Due 11/141.) The following data for the Tg of polystyrene as a function of molecular weight wasobtained by Fox and Flory (J. Poly Sci 14, 315 (1954)M (g/mol)Tg (C)85,00010019,3008913,300866650774980783590

Berkeley - CHEM ENG - 178

ChE 178: Problem Set #11 SOLUTIONSDue Monday, December 8, 20041. The G(t, T) for a certain polymer with a density equal to 1x106 g/m3 at a temperatureT = 350 K is given byG(t,T)=1000exp[(t/1 o)0.333 ]+exp[(t/2 o)0.45]where1 o=1sec and 2 o= 106 sec an

Houston Downtown - BIOL - 1361

PRINTABLE VERSIONTest 4You scored 75.66 out of 108.99Q u e s t i on 1Your answer is CORRECT.Which is not a function of sensory receptor cells?A)To detect or receive stimuli from the external/internal environment.B)To transduce or convert stimuli

Lake Land - STAT - 101

Exploratory Data AnalysisVariablesDefinitionThe big idea of statistics is that we have a question about some large group (the population)that can be answered through measurement. That characteristic which we measure is called thevariable. Perhaps we

Lake Land - STAT - 101

Statistical InferenceThe reasoning of statistical inference rests on asking, "How often would thismethod give a correct answer if I used it very many times?" If it doesn'tmake sense to imagine repeatedly producing your data in the samecircumstances, s

Lake Land - STAT - 101

Lake Land - STAT - 101

Inferences for DistributionsInference for the Mean of a PopulationConfidence intervals and tests of significance for the mean arebased on the sample mean x .The sampling distribution of x has as its mean.That is, x is an unbiased estimator of the unk

Lake Land - STAT - 101

Chapter 13 Section 1Example 2The chi-square distributions are a family of distributions that take only positivevalues and are skewed to the right. A specific chi-square distribution is specified by oneparameter, called the degrees of freedom.The figu

Lake Land - STAT - 101

Chapter 14Inference for RegressionSection 1Inference about the ModelExample 14.1: Crying and IQInfants who cry easily may be more easilystimulated than others and this may be a signof higher IQ. Child development researchersexplored the relationsh

Lake Land - STAT - 101

PAROrganizing Data:Looking for Patterns andDepartures from Patterns1234Exploring DataThe Normal DistributionsExamining RelationshipsMore on Two-Variable DataTI2Chapter Number and Titlection, New YorkThe Granger ColleFLORENCE NIGHTINGALE

Lake Land - STAT - 101

74Chapter Number and TitleAT&T ArchivesJOHN W. TUKEYThe Philosopher of Data AnalysisHe started as a chemist, became a mathematician, and wasconverted to statistics by what he called the real problemsexperience and the real data experience of war wo

Lake Land - STAT - 101

118Chapter Number and Titlection, New YorkThe Granger ColleSIR FRANCIS GALTONCorrelation, Regression, and HeredityThe least-squares method will happily fit a straight line toany two-variable data. It is an old method, going back to theFrench mathe

Lake Land - STAT - 101

192Chapter Number and Titlection, New YorkThe Granger ColleCARL FRIEDRICH GAUSSThe Gaussian DistributionsBy age 18, Carl Friedrich Gauss (17771855) had independently discovered the binomial theorem, the arithmeticgeometric mean, the law of quadratic

Lake Land - STAT - 101

Chapter Number and Title 265PProducing Data:Samples, Experiments, andSimulations5Producing DataARTII266Chapter Number and TitleRONALD A. FISHERThe Father of StatisticsThe ideas and methods that we study as statistics wereinvented in the nin

Lake Land - STAT - 101

Chapter Number and TitlePARTIIIProbability:Foundations for Inference6789Probability: The Study of RandomnessRandom VariablesThe Binomial and Geometric DistributionsSampling Distributions325326Chapter Number and Titlection, New YorkThe G

Lake Land - STAT - 101

= =-Chapter-8 The Binomial and Geometric DistributionsIACTIVITY 8 A Gaggle of GirlsT he Ferrells have 3 children: Jennifer, Jessica, and Jaclyn. If we assume that acouple is equally likely to have a girl or a boy, then how unusual is it for a family

Lake Land - STAT - 101

-:-486.- Chapter 9 Sampling DistributionsACTIVITY 9 A Young Women's HeightsMaterials: Several 3" X 3" or 3" X 5" Post-it NotesT he height of young women varies approximately according to the N(64.5,2.5) distribution. That is to say, the population

Lake Land - STAT - 101

.-- -10 Introduction to InferenceACTIVITY 10 A Little Tacky!Materials: Small box of thumbtacksWhen you flip a fair coin, it is equally likely to land "heads" or "tails." Dothumbtacks behave in the same way? In this activity, you will toss a thumbtac

Lake Land - STAT - 101

.-_-10.2 Tests of significance :-:359-10.2 TESTS O F SIGNIFICANCEC onfidence intervals are one of the two most common types of statisticalinference. Use a confidence interval when your goal is to estimate a population parameter. T h e second common

Lake Land - STAT - 101

I586chapter 10 Introduction to InferenceInpt :Data0: 06W: 272n: 840P:#Poma'Po.yiJ:Here are the results of'the z test: z = -1.449 and the P-value is O.Q7$;6;, .,-,1'1.1.11:T,I:,.,,*-Poz-P Valuexn0i.=275.=-I. 44914=

Lake Land - STAT - 101

WILLIAM S . GOSSET-4,-.-,.,'?Brewing Ektter Beer, Brewing New StatisticsWhat would cause the head brewer of the famous Guinnessbrewery in Dublin, Ireland, not only to use statistics but toinvent new statistical methods? The w c h for better k r

Lake Land - STAT - 101

\>-- -11 Inference for Distributions11.2 COMPARING TWQ MEANSComparing two populations or two treatments is one of the most common situations encountered in statistical practice. We call such situations two-sampleproblems.TWO-SAMPLE PROBLEMS.I>1,

Lake Land - STAT - 101

12.1 I nference for a Population ProportionEXAMPLE 12.1 RISKY BEHAVIOR IN THE AGE OF A IDSHow colnmon is behavior that puts people at risk of AIDS? The National AIDSBehavioral Surveys interviewed a random sample of 2673 adult heterosexuals. Ofthese, 1

Lake Land - STAT - 101

Chapter 13Section 2Inference for two-way tablesExample 13.4 Treating Cocaine AddictionChronic users of cocaine need the drug to feelpleasure. Perhaps giving them a medication thatfights depression will help them stay off cocaine.A three year study

Lake Land - STAT - 101

Lake Land - STAT - 101

-.780Chapter 14 Inference f or RegressionACTIVITY 14*-.-"~,.*-&f~ika1a;~@&j&ijy!fiz&b@cist.~B;-calGu~t~r.-* I,rd i a r r h i t e d ~ m u v i usaid $ it '?fyou open your legs sosmugh as to,decreasernr h$ight by 1/14 and spread andraise you

Lake Land - STAT - 101

Some Basic Probability Notation and TerminologyLet A and B be two sets.1. Suppose every element of a set A also belongs to set B,then A is called a subset of B, or A is said to be containedin B, which is written asAB or BA2. Two sets are equal if

Lake Land - STAT - 101

ESTIMATING WITH CONFIDENCEStatistical inference provides methods for drawing conclusions about apopulation from sample data.SAT Math Scores in CaliforniaExample 10.2Suppose you want to estimate the mean SAT Math score for the more than 350,000 highs