Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

4 Pages

Sec_9_solutions

Course: CEE 3040, Fall 2010
School: Cornell
Rating:

Word Count: 548

Document Preview

3040 CEE Fall 2008 CEE 304 Section 9 Handout (Two Sample Hypothesis Tests) 1. Are men taller than women as is often believed? Look at the following data on heights (with units of inches) that was collected by former CEE 304 students. N 4 12 Mean 65.146 71.258 Median 64.500 71.000 Stdev 2.441 2.889 Women Men Let us consider these students to be a random sample of Cornell engineering students. Use a t-test...

Register Now

Unformatted Document Excerpt

Coursehero >> New York >> Cornell >> CEE 3040

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
3040 CEE Fall 2008 CEE 304 Section 9 Handout (Two Sample Hypothesis Tests) 1. Are men taller than women as is often believed? Look at the following data on heights (with units of inches) that was collected by former CEE 304 students. N 4 12 Mean 65.146 71.258 Median 64.500 71.000 Stdev 2.441 2.889 Women Men Let us consider these students to be a random sample of Cornell engineering students. Use a t-test appropriate for small n. Womens height x = 65.146 sx = 2.441 nx = 4 __ Mens height y = 71.258 sy = 2.889 ny = 12 T= ( X Y ) (x y ) 2 2 sx s y + nx n y __ __ __ x, y UNKNOWN, small samples Use t-test, (i) What are the appropriate hypotheses? Null Hypothesis Ho: x = y Alternative Hypothesis: Ha: x < y lower-tailed test (ii) (iii) At the 1% level, what would be the rejection region for the test? =1% 2 2 sx s y + n ny Degrees of freedom: = x =6 4 2 s 4 n2 sx nx y y + nx 1 n y 1 2 t , = t 0.01, 6 = -3.143 So, Ho is rejected if t test < t , = -3.143 (lower tailed t test). (iv) Approximately, what is the p-value for this data? 1 CEE 3040 Fall 2008 For lower tailed t test, P-value = P( T < t test ) T= ( X Y ) ( x y ) 2 2 sx s y + nx n y __ __ t test = - 4.135 From student-t table A.8, P-value = P( T < 4.135 | = 6 ) = 0.004 (v) What do you conclude at the 1% level? =1% (1) t test = 4.135 < t , = 3.143 So, Ho is rejected at level 1% (2) = 0 . 0 1 > P-value = 0.004 So, Ho is rejected at level 1% (vi) If the mean of women and men is really 65 and 71, respectively, and the true standard deviations are both 2.5, what is the type II error for a 1% test? Type II Error : ne-tail test, = 1 %, df = = 6 d= a 0 2 2 x y = 1.571 + nx n y +1 Figure Chart A.17, = 0.2 2 CEE 3040 Fall 2008 2. Groundwater Example: You concerned are with nitrate concentrations at wells upstream and downstream of a landfill. The following data was collected at the two locations. Downstream x = 5.6 mg/L sx = 2.1 mg/L nx = 11 __ Upstream y = 4.2 mg/L sy = 1.8 mg/L ny = 6 T= ( X Y ) (x y ) 2 2 sx s y + nx n y __ __ __ x, y UNKNOWN, small samples Use t-test, (i) What are the appropriate hypotheses? Null Hypothesis Ho: x = y Alternative Hypothesis: Ha: x > y upper-tailed test At the 5% level, what would be the rejection region for the test? =5% 2 2 sx s y + n ny Degrees of freedom: = x = 12.06 12 4 2 s 4 n2 sx nx +y y nx 1 n y 1 2 (ii) t , = t 0.05,12 = 1.782 For upper tailed t test, Ho is rejected if t test > t , = 1.782. (iii) Approximately, what is the p-value for this data? For upper tailed t test, P-value = P( T > t test ) T= ( X Y ) ( x y ) 2 2 sx s y + nx n y __ __ t test = 1.44 So, P-value = P( T > 1.44 | = 12 ) = 0.087 3 CEE 3040 Fall 2008 (iv) What do you conclude at the 5% level? =5% (1) t test = 1.44 < t , = 1.782 we fail to reject Ho at level 5% (2) = 0 . 0 5 < P-value = 0.087 Ho is NOT rejected at level 5% (v) If the mean downstream and upstream is really 5.5 and 4.0, respectively, and the true standard deviations are both 2.0, what is the power of the test (i.e. the probability we correctly reject the null hypothesis) given = 0.05? Type II Error : ne-tail test, = 5 %, df = = 12 d= a o 2 x2 y = 0.41 + nx n y +1 Figure Chart A.17, = 0.62 Power of test 1- = 1 - 0.62 = 0.38 (vi) Construct a 90% confidence interval for the difference between the true means x and y of the downstream and upstream concentrations. = 0 . 1 , t / 2, = t 0.05,12 = 1.782 90% CI: X Y t / 2, ( ) 2 2 sx s y + = [-0.329, 3.129] nx n y 4
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Cornell - CEE - 3040
HWproblemsfortheNonparametrictesting Section15.1,D7p.607[D6 p. 676]#5use=5%WilcoxonSignedRankP1)Thesigntestcanbeusedwithpaireddata.Supposeyouexpectfewplussignsandmany negativesigns.LetSequalthenumberofpositivesignsinasampleofsizen=20. (a)Specifyeverypos
Cornell - CEE - 3040
Cornell - CEE - 3040
CEE 3040 - UNCERTAINTY ANALYSIS IN ENGINEERINGHomework#10Due:Wednesday,November17,2010 Read:Devore7.4,8.48.5,9.19.3 Goal: This homework continues to focus on hypothesis testing. Students should know and be able to explain the basic principles of 2-sample
University of Texas - CHEM 301 - 56789
james (ajj653) Homework 9 sutclie (50985) This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. Whats the chemical formula of water? HIJKLMNO (a little geek humor for yo
UCSD - BIO - BILD 3
BILD 3: Organismic and Evolutionary BiologyDr. Joshua Kohn 1258 Muir Biology 534-8233 jkohn@ucsd.eduCourse Website is on WebCThttp:/webct.ucsd.edu Or you can Google UCSD WebCT If you are normally enrolled in this class you should already have access t
Texas A&M - AGEC - 105
AGEC 105Chapter 9 Imperfect CompetitionPart 1Announcement Quiz4, Friday, October 29, Chapter 8 2, Wednesday, November 3, Exam Chapters 6, 8 and 9 Review problems are posted on E-learning Review session on Tuesday, November 2,7:30-9:30pm, Blocker 1
Texas A&M - AGEC - 105
AGEC 105Chapter 9 Imperfect CompetitionPart 2Monopolistic Competition And Oligopoly On any given day, you are probably exposed to hundreds of advertisements Advertising is everywhere in the economy So far in this book not much has been said about adv
Texas A&M - AGEC - 105
NaturalResources, theEnvironment andAgricultureChapter10TopicsofDiscussionAgricultureandtheenvironment Economicsoftheenvironment Economicsofresourcesinagriculture Governmentpoliciesforagriculture,naturalresources,andtheenvironmentWater Use in the U.S
Texas A&M - AGEC - 105
Government Interventionin AgricultureChapter11TopicsofDiscussionDefiningtheFarmProblem Formsofgovernmentintervention Consumerissues Priceandincomesupportmechanism Phasingoutofsupplymanagement Domesticdemandexpansion ImportanceofexportdemandTheFarmProb
Texas A&M - AGEC - 105
P r oduct M ar k ets and N ational OutputChapter 12D iscussion T opicsCir cular flow of payments Composition and measur ementof Gr oss D omestic Pr oduct ( GD P) Consumption, saving and i nvestment Equilibr ium national income a nd outputF our major
Texas A&M - AGEC - 105
Introduction to Production and Resource UseChapter 6Topics of DiscussionConditions of perfect competition Classification of inputs Important production relationships(assume one variable input in this chapter) Assessing short run business costs Economi
Texas A&M - AGEC - 105
Market Equilibrium and Market Demand: Perfect CompetitionChapter 8Discussion TopicsDerivation of market supply curve Elasticity of supply and producersurplus Market equilibrium under perfect competition Total economic surplus Adjustments to market equ
Texas A&M - AGEC - 105
Market Equilibrium and Market Demand: Imperfect Competition Chapter 9Discussion TopicsMarket structure characteristics Monopolistic competition in selling Oligopolies in selling Monopolies in selling Implications for consumer andproducer surplusMarket
Texas A&M - AGEC - 105
Natural Resources, the Environment and AgricultureChapter 10Topics of DiscussionAgriculture and the environment Economics of the environment Economics of resources in agriculture Government policies for agriculture,natural resourcs, and the environmen
Texas A&M - AGEC - 105
Government Intervention in AgricultureChapter 11Topics of DiscussionDefining the Farm Problem Government intervention Consumer issues Price and income support Domestic demand expansion Importance of export demandPrice and Income Support A Historical P
Texas A&M - AGEC - 105
Macroeconomic Policy FundamentalsChapter 13Discussion TopicsCharacteristics of money Federal Reserve System Changing the money supply Money market equilibrium Effects of monetary policy on economy The federal budget deficit The national debt Fiscal pol
Texas A&M - AGEC - 105
Texas A&M - AGEC - 105
Texas A&M - AGEC - 105
AGEC 105Introduction to Agricultural EconomicsAriun IshdorjIntroduction Introduction IMPORTANT DATES Friday, September 3 last day to add/drop courses Quiz on Friday, September 10. CLASS WEB SITE http:/elearning.tamu.edu/ SYLLABUS CHAPTER 1 Graphs and
Texas A&M - AGEC - 105
AGEC 105Chapter 3 (PART 2)Theory of Consumer BehaviorTopics of Discussion THE BUDGET CONTSTRAINT UTILITY THEORY Total Utility Marginal Utility Law of Diminishing Marginal Utility INDIFFERENCE CURVE Concept of Isoutility Marginal Rate of Substitution
Texas A&M - AGEC - 105
AGEC 105Chapter 3Theory of Consumer BehaviorIntroductionIMPORTANT DATES Quiz on Friday, September 10. CLASS WEB SITE http:/elearning.tamu.edu/ CHAPTER 3 Theory of Consumer Behavior Examples2Topics of Discussion THE BUDGET CONTSTRAINT UTILITY THEOR
Texas A&M - AGEC - 105
AGEC 105Chapter 4: Consumer Equilibrium and Market DemandQuiz1 Count: 121 Average: 20.0 Median: 20.0 Maximum: 25.0 Minimum: 3.82Announcements Quiz2,Friday,September24,Chapters3and4 Exam1,Wednesday,September29,Chapters1,3,4and5 Reviewsessions,Tuesda
Texas A&M - AGEC - 105
AGEC105 Chapter5ElasticitiesAnnouncementsExam1,Wednesday,September29,Ch.1,3,4and5Reviewsessions,Tuesdays,Blocker113,7:309:30pmReviewproblemsarepostedonELEARNINGDiscussionTopicsOwnpriceelasticityofdemand Incomeelasticityofdemand Crosspriceelastici
Texas A&M - AGEC - 105
Introductionto Productionand ResourceUseChapter6TopicsofDiscussionConditionsofperfectcompetition Classificationofinputs Importantproductionrelationships(assumeonevariableinputinthis chapter) Assessingshortrunbusinesscosts Economicsofshortrundecisions
Texas A&M - AGEC - 105
Agec105Chapter 8: Supply and Demand Part 1Topics of Discussion SUPPLY AND SUPPLY CURVE SUPPLY AND QUANTITY SUPPLIED Shifts vs. Movements along the Supply Curve PUTTING TOGETHER SUPPLY AND DEMAND Market Equilibrium Excess Supply and Excess Demand CON
Texas A&M - AGEC - 105
Agec105Chapter 8: Supply and Demand Part 2Equilibrium: Putting Supply and Demand TogetherWhen a market is in equilibrium Both price of good and quantity bought and sold have settled into a state of rest Price at which quantity supplied equals quantit
Texas A&M - AGEC - 105
Chapter 1: What is Agricultural Economics?LEARNING OBJECTIVES Define economics and agricultural economics. Distinguish between the fields of macroeconomics and microeconomics. Discuss the difference between positive and normative economic policy analys
Texas A&M - AGEC - 105
Chapter 3: Theory of Consumer BehaviorLEARNING OBJECTIVES Understand the concept of total utility. Understand the concept of marginal utility. Be able to apply the Law of Diminishing Marginal Utility. Define an indifference curve and apply the Law of
Texas A&M - AGEC - 105
Chapter 4: Consumer Equilibrium and Market DemandLEARNING OBJECTIVES Explain the concept of consumer equilibrium. Demonstrate how changes in prices or income affect consumer equilibrium. Derive a consumer's demand curve. Know the difference between a c
Texas A&M - AGEC - 105
Chapter 5: Measurement and Interpretation of ElasticitiesLEARNING OBJECTIVES Define, derive, and interpret an own-price elasticity of demand coefficient. Define, derive, and interpret an income elasticity of demand coefficient. Define, derive, and inte
Texas A&M - AGEC - 105
Chapter 6: Introduction to Production and Resource UseLEARNING OBJECTIVES Understand the conditions necessary for perfect competition. Discuss the inputs necessary for the production of a product. Understand, graphically depict, and mathematically de
Texas A&M - AGEC - 105
Chapter 8: Market Equilibrium and Product Price: Perfect CompetitionLEARNING OBJECTIVES List the conditions for a perfectly competitive market. Discuss the nature of the firm's supply curve. Derive the market supply curve. Calculate and interpret the o
Texas A&M - AGEC - 105
Chapter 9: Market Equilibrium and Product Price: Imperfect CompetitionLEARNING OBJECTIVES Understand the key structural characteristics of competitive market behavior. Understand the pricing and production strategies of different types of imperfect m
Texas A&M - AGEC - 105
Chapter 10: Natural Resources, the Environment, and AgricultureLEARNING OBJECTIVES Understand the major issues associated with agriculture and the environment, including water pollution, air pollution and global climate change. Understand the concepts
Texas A&M - AGEC - 105
1Chapter 11: Government Intervention in AgricultureLEARNING OBJECTIVES Understand the rationale underlying the federal government's intervention in agriculture. Discuss the features that often result in hard economic times in the agricultural economy.
Texas A&M - AGEC - 105
Chapter 12: Product Markets and National OutputLEARNING OBJECTIVES Compare and contrast a barter and monetary economy. Describe the circular flow of payments for the product and resource markets in a monetary economy. Understand the composition and mea
Texas A&M - GEOG - 202
Geography Of Global VillageGEOG 202-507Success in Geography 202 Attend lecture Read the chapter in the text booktwice Print out multiple copies of all regional political and physical geography maps from website Keep pace with readings and lectures Tak
Texas A&M - GEOG - 202
9/8/2010Geography of Global VillageChapter 2 - The Changing Global EnvironmentGEOG 202-507Learning Objectives Learn the basics of Earths environmental systems to prepare for later chapters Understand some of the following concepts, models, and terms:
Texas A&M - GEOG - 202
9/13/2010Geography of Global VillageLatin America GEOG 202-507Learning Objectives Understand Latin America through five themes Understand Latin Americas culture diversity and how colonization has affected it Understand these concepts and models: Agra
Texas A&M - GEOG - 202
Geography of Global Village Latin America (Contd.)GEOG 202-507Latin America: Cultural Patterns European encounter with American civilizations Native populations: 47M in 1500, 10% by 1650 Demographic toll: disease, war, collapse of food production Surv
Texas A&M - AGEC - 105
Practice Problems for Chapter 1 AGEC 1051. Even though households may have unlimited wants, they have to allocate their spending carefully because they a. Do not want their credit card bills to be too high b. Worry about their taxes c. Have limited intel
Texas A&M - AGEC - 105
Exam 1 Spring 2010 Keys 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. E D C B A B D E A C B C A B B A C A C B A A B A A E E C E A C D B B A A C D E B
Texas A&M - AGEC - 105
Agec 105Exam 1Spring 2010 Name: _Choose the single best answer for each question. Each question is worth 2.5 points.1. a. b. c. d. e.Economics is the study of scarcity under conditions of democracy choice within a system of capitalism financial marke
Texas A&M - AGEC - 105
Quiz 1 Spring 2010 Keys 1. C 2. D 3. C 4. A 5. E 6. B 7. D 8. A 9. C
Texas A&M - AGEC - 105
AGEC 105Quiz 1Spring 2010Name: _Choose the single best answer for each question. Each question is worth 2.5 points. 1. Hills Pet Nutrition, Inc. of Topeka, Kansas has three alternatives for manufacturing pet foods: Alternative 1: Manufacture cat food
Texas A&M - AGEC - 105
Quiz 2 Spring 2010 Keys 1. C 2. D 3. 16, 12, 3 and 4 4. B 5. Indifference 6. A 7. A 8. Marginal Rate of Substitution (MRS) 9. B
Texas A&M - AGEC - 105
AGEC 105 IshdorjQuiz 2Spring 2010Name: _Choose the single best answer for each question. Each question is worth 2.5 points. 1. As Reba consumes four slices of pizza, her total utility rises from 0 to 18, to 24, to 28, and to 30, respectively. What is
Texas A&M - AGEC - 105
AGEC 105Introduction to Agricultural EconomicsAriun IshdorjIntroduction Introduction IMPORTANT DATES Friday, September 3 last day to add/drop courses Quiz on Friday, September 10. CLASS WEB SITE http:/elearning.tamu.edu/ SYLLABUS CHAPTER 1 Graphs and
Texas A&M - AGEC - 105
AGEC 105Chapter 3Theory of Consumer BehaviorIntroductionIMPORTANT DATES Quiz on Friday, September 10. CLASS WEB SITE http:/elearning.tamu.edu/ CHAPTER 3 Theory of Consumer Behavior Examples2Topics of Discussion THE BUDGET CONTSTRAINT UTILITY THEOR
Texas A&M - AGEC - 105
AGEC 105Chapter 3 (PART 2)Theory of Consumer BehaviorTopics of Discussion THE BUDGET CONTSTRAINT UTILITY THEORY Total Utility Marginal Utility Law of Diminishing Marginal Utility INDIFFERENCE CURVE Concept of Isoutility Marginal Rate of Substitution
Texas A&M - AGEC - 105
AGEC 105Chapter 4: Consumer Equilibrium and Market DemandQuiz1 Count: 121 Average: 20.0 Median: 20.0 Maximum: 25.0 Minimum: 3.82Announcements Quiz2,Friday,September24,Chapters3and4 Exam1,Wednesday,September29,Chapters1,3,4and5 Reviewsessions,Tuesda
Texas A&M - AGEC - 105
AGEC 105Chapter 5ElasticitiesAnnouncementsExam 1, Wednesday, September 29, Ch. 1, 3, 4and 5Review sessions, Tuesdays, Blocker 113, 7:309:30pmReview problems are posted on E-LEARNINGDiscussion TopicsOwn price elasticity of demand Income elasticity
Texas A&M - AGEC - 105
beef Good Price % in beef = 0.572 \$20 Haircuts per Week Qrevenue = \$5,400 - \$5,250 Change = \$150 \$16 Manicures per Week \$12 \$8% P = -.50(3.00 3.50)/(3.25) -1.30 .2927Q/(-.1538) /% Pbeef =% = % Qchicken % Q = Q % .1999 = .2929 x 10. chicken Revenue before
Texas A&M - AGEC - 105
Practice Problems for Chapters 3 and 4QCoke7Pepsi AGEC 105 5Q1. A consumers budget line shows a. The utility that an individual would receive from consuming various combinations of two goods b. The combination of two goods that an individual is able to
Texas A&M - AGEC - 105
AGEC 105 Fall 2010Quiz 1Name: _ Choose the single best answer for each question. Each question is worth 2.5 points. 1. Economics is a. exclusively the study of the markets for stocks and bonds b. the study of choice under conditions of scarcity c. exclu
Texas A&M - AGEC - 105
44 U nit s of AGEC 105 Unit s of1PowerD 12 6 8 CE A 0 Bonment al Qualit y E nvir 3 Fall 2010IshdorjQuiz 21Name: _Choose the single best answer for each question. Each question is worth 2.5 points. 1. Which of the following sets of goods are most lik
UCSD - BIO - BILD 3
A brief history of life on earth The earth is ancient and how we know isotope-dating Atmosphere, weather, positions of continentsThe fossil recordEarth has changed over time The geological record The fossil record Continental drift Recent mammalian ext
UCSD - BIO - BILD 3
ChuckCharles (Chuck)Darwin, 1809 - 1882The Origin of Species - 1859 Created a scientific revolution Unlike some other scientific revolutions, this one did not require any new methods, observations, or calculations Instead it came from the meticulous a
UCSD - BIO - BILD 3
Outline Introduction The Neo-Darwinian s ynthesis Sources of VariationEvolution II: Mechanisms Mutation Sexual recombination Crossing over Independent assortment Hardy Weinberg equilibrium Selection Drift Gene Flow Assortative mating Maintenance
UCSD - BIO - BILD 3
Speciation Darwins mystery of mysteries Involves the splitting of evolutionary lineages Need not involve adaptationOutline Anagenesis and c ladogenesis Species concepts Reproductive isolating mechanisms Prezygotic Postzygotic The geography of speciat
UCSD - BIO - BILD 3
Phylogenetics and Systematics How to read phylogenetic trees Classification (Systematics) Types of phylogenetic trees How to make phylogenetic trees How to use phylogenetic trees The fossil record provides information about the history and relationships