...Statistics 104: Quantitative Methods for Economists Fall 2010 Final Examination Directions This exam is open book/open notes. Calculators are allowed but not laptop computers. The exam will end 3 hours after it begins. The exam is divided into two parts. The first part is multiple choice and true/false. Please answer these questions on the exam by circling the best answer (some rounding occurs in several places). The second part of the exam consists of several problems. Please answer these problems in the space provided on the exam (you may use the backs of the sheets if necessary). You will get partial credit for these problems provided that your answers are organized and legible so that your train of thought can be easily followed. Good Luck By Printing my name below I acknowledge that Harvard has an honor code and that I will adhere to it. Failure to abide by the honor code could result in failing this course and having to wash Professor Parzen’s car with my toothbrush. NAME: _____________Keyser Soze_______________________________ (-50 if not printed) Question Multiple Choice Long 1 Long 2 Long 3 Long 4 Long 5 Total Points 100 5 18 12 12 18 165 Obtained 1 Multiple Choice (3 points each) 1) The standard deviation of the normal distribution shown above is approximately a) σ = 100 b) σ = 90 c) σ = 15 d) σ = 10 2) As the degrees of freedom for the t distribution increase, the distribution approaches a) b) c) d) The value of zero for the mean. The t...
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...2 Broad Study in Statistics Descriptive (mô tả) : provides simple summaries about the data collected & about the preliminary observations that have beed made. Such summaries maybe either quantitative (numerical measures) or visual (e.g. simple-to-understand graphs) e.g. Present a summary report of this year business result to management Inferential (suy luận) : are systems of procedures that can be used to draw conclusions from datasets arising from systems affected by random variation. The type of inferential statistical procedure used depends upon the type of data collected as well as the distribution of the data. The procedures are usually used to test hypotheses and establish probability. e.g. Estimate the IQ score of Kaplan students by observing a small group of students Population : e.g. A population is a collection of all individuals, objects, or measurement of interest Sample : e.g. A sample is a portion or part of the population of interst MCQ 1. The process of using sample statistics to draw conclusions about true population parameters is called Statistical inference. Keywords: inferential statistics 2. Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called Descriptive statistics. 3. The collection characteristics of the employees of a particular firm is an example of Descriptive statistics. 4. The estimation of the population...
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...Stat 141 R1 - Lecture #35 Announcements: 1) Assignment #11 Question 5: The answer is wrong … should be “fail to reject” but MyStatLab wants “reject”... so give the wrong answer for full marks in this question 2) Exam: STAT 141 R1 3 hrs 1400 Wed Apr 17 MAIN GYM, ~45 Multiple Choice Questions Chapters 7, 8, 18-28 …. some pre MT skills will be required. Simple Linear Regression …. continued Last time: Ex) Predicting final exam marks (%) from midterm exam marks (%) in a class of 88 students: Student | #1 | #2 | … | #88 | Midterm mark | 67% | 72% | … | 88% | Final mark | 62% | 50% | … | 91% | Stat 141 R1 - Lecture #35 page 2 Given x = midterm percentage, y = final percentage, n=88, x = 67.812, y = 52.643, sx = 17.922, sy = 25.430, r = 0.718 ∑(yi–ŷi)2 = 27278.82 We had calculated: The slope and intercept of the sample line of best fit: * sample line of best fit: y= -16.443 + 1.019 x An estimate for σ (standard deviation about the population line): se Given SSE = ∑(yi–ŷi)2 = 27278.82 : se2=SSEn-2=27278.8288-2=317.196 →σ≈se=317.196=17.810 Stat 141 R1 - Lecture #35 page 3 Inference for the population slope β1 When the 4 basic assumptions of the SLR model are satisfied: o The relationship between x and y is sufficiently linear. Presuming linearity, this means, at any x, με = 0. o The std. dev. of ε is the same for any particular x (constant). o The...
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...COURSE OUTLINE Term: Fall 2012 Subject Code: Course Number: Course Name: Grade Mode: Length: STAT 2001 Statistics 2 Numeric 42.0 Hours PLA Applicable: Y Credit Value: 3.0 Level: Post Secondary Prerequisites(s): STAT 2000 Statistics 1 or BUS 2238 Stats 1 Co-requisite(s) and Concurrent Prerequisite(s): None Equivalent(s): BUS 2206 Inferential Statistics and BUS 2239 Statistics 2 Students are advised to retain course outlines for future use in support of applications for employment or transfer of credits Course Description This course builds on the topics covered in Statistics 1, extending hypothesis testing and other inferential techniques to a range of new problems. Applications of statistical techniques to quality and productivity management are covered. Students gain further experience with the use of computer-based statistical analysis tools. Learning Outcomes: Upon completion of this course, the student will have reliably demonstrated the ability to: 1. Identify the appropriate technique, then conduct and interpret inference (both estimation and hypothesis tests) of population means when the population variance is known or unknown. 2. Perform hypothesis tests on the differences between two means using both independent samples and matched pairs experiments. STAT 2001 “Statistics 2” 3. Use sampling distributions to calculate interval estimates and select appropriate sample sizes for proportions. 4. Test the significance of a population proportion and...
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...STATS 2141a Complaint As a student of Western University who pays $13 000 a year I have found that the professor Ricardas Zitikis, the instructor of STATS 2141a course, to be completely unreasonable and unfair with his current response to a previous complaint made on him. His response is shown in appendix 1 below. This response was very immature and has made all of his students genuinely scared for the final exam. Not only will there be no solutions to his practice problems on OWL (Which he never posted to begin with), but now any questions that might be able to prepare us for the exam is not going to be posted either. This is a great concern for the vast amount of students because the textbook that our professor has recommended for us has...
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...for whom the numbers on the active players’ jerseys are 29, 41, 50, 58, 79,…, 10 (listed in alphabetical order of players’ names). Does it make sense to calculate the means of those numbers? Why are why not? No because it doesn’t make sense to calculate jersey numbers but stats maybe 2. The Fair Isaac Corporation (FICO) credit rating scores obtained in a simple random sample are listed below: 714 751 664 789 818 779 698 836 753 834 693 802 a. Find mean, median, mode, and midrange. 714+ 751+ 664+ 789+ 779+ 698+ 836+ 753+ 834+ 693+ 802= 9131 Mean 760.9 Median 766 Mode 0 Midrange 766 b. As of this writing, the reported mean FICO score was 678. Do these sample FICO scores appear to be consistent with the reported mean? No it was much higher 3. A student earned grades of 92, 83, 77, 84, and 82 on her five regular tests. She earned grades of 88 on the final exam and 95 on her class projects. Her combined homework grade was 77. The five regular tests count for 60% of the final grade, the final exam counts for 10%, the project counts for 15%, and homework counts for 15%. What is her weighted mean grade? Grades 92+ 83+ 77+ 84+ 82/ 5 = 83.6 Regular grades 83.6 x0.60= 50.16 Final exam 88 x 0.10 = 8.8 Class project 95 x 0.15 = 14.25 Homework 77 x 0.15 = 11.55 Her weighted mean grade is 84.71 4. Bao Xishun is the world’s tallest man with a height of 92.95 in. (or 7 ft. 8.95 in.). Men have heights with a mean of 69.6 in. and a standard deviation of...
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...Fall 2012 Final Examination Schedule Exam Section(s) Day Date Start Finish Location 1 ACTSC 221 ACTSC 231 ACTSC 232 ACTSC 331 ACTSC 371 ACTSC 372 ACTSC 431 ACTSC 432 ACTSC 445 ACTSC 446 ACTSC 463 ACTSC 471 ACTSC 831 ACTSC 832 ACTSC 845 ACTSC 846 ACTSC 863 AFM 101 AFM 123 AFM 131 AFM 204 AFM 273 AFM 291 AFM 333 AFM 371 AFM 372 AFM 391 AFM 401 AFM 415 AFM 451 AFM 461 AFM 471 AFM 472 AFM 476 AFM 481 001 001,002 001 001 001 001 001 001 001 001 001 001,002 001 001 001 001 001 001 to 006 001 001 to 006 001 001 to 005 001 to 006 001 to 003 001,002 001 001 to 003 001 to 004 001 001 to 003 001 to 004 001 to 003 001 to 003 001,002 001 to 003 Tuesday Friday Friday Friday Thursday Saturday Saturday Thursday Tuesday Thursday Friday Saturday Saturday Thursday Tuesday Thursday Friday Monday Monday Thursday Friday Thursday Tuesday Tuesday Monday Monday Tuesday Thursday Friday Friday Monday Saturday Monday Saturday Thursday December 11, 2012 December 14, 2012 December 7, 2012 December 7, 2012 December 13, 2012 December 15, 2012 December 8, 2012 December 6, 2012 December 11, 2012 December 13, 2012 December 7, 2012 December 15, 2012 December 8, 2012 December 6, 2012 December 11, 2012 December 13, 2012 December 7, 2012 December 17, 2012 December 17, 2012 December 13, 2012 December 7, 2012 December 13, 2012 December 11, 2012 December 11, 2012 December 17, 2012 December 17, 2012 December 11, 2012 December 6, 2012 December 14, 2012 December 7, 2012 December 10, 2012 December 15, 2012...
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...Introduction: Decision makers make better decisions when they use all available information in an effective and meaningful way. The primary role of statistics is to to provide decision makers with methods for obtaining and analyzing information to help make these decisions. Statistics is used to answer long-range planning questions, such as when and where to locate facilities to handle future sales. Definition: Statistics is defined as the science of collecting, organizing, presenting, analyzing and interpreting numerical data for the purpose of assisting in making a more effective decision. Types of Statistics: There are two types of statistics 1. Descriptive Statistics is concerned with summary calculations, graphs, charts and tables. 2. Inferential Statistics is a method used to generalize from a sample to a population. For example, the average income of all families (the population) in the US can be estimated from figures obtained from a few hundred (the sample) families. Statistical Population: Is the collection of all possible observations of a specified characteristic of interest. An example is all of the students in BUSA 3101 course in this term. Note that a sample is a subset of the population. Variable: A variable is an item of interest that can take on many different numerical values. Types of Variables or Data: 1. Qualitative Variables are nonnumeric variables and can't be measured. Examples include gender, religious affiliation...
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...Econometrics (Economics 360) Syllabus: Spring 2015 Instructor: Ben Van Kammen Office: Krannert 531 Office Hours: Friday, 10 a.m.-noon Email: bvankamm@purdue.edu Meeting Location: KRAN G010 Meeting Days/Times: TR 1:30-2:45 p.m. (001) TR 3-4:15 p.m. (002) TR 4:30-5:45 p.m. (003) Course Description This is an upper division economics course required for students pursuing a BS in economics. It is one of the few courses that explicitly covers empirical methods, i.e., the analysis of observed economic behavior in the form of data. Empirics stand in contrast to theory, e.g., micro and macro, about how agents behave. Despite this under-representation, empirical analysis comprises a large part of economists’ workload and is one of the most practical skills that an economics student can learn. Course Objectives In this class students will: 1. perform statistical and practical inference based on the results of empirical analysis, 2. identify useful characteristics of estimators, e.g., unbiasedness, consistency, efficiency, 3. state predictions of theoretical economic models in terms of testable hypotheses, 4. model economic relationships using classical methods, such as Ordinary Least Squares, derive the properties of estimators related to these methods, and 5. perform estimation using methods discussed in class using software, 6. perform diagnostic tests that infer whether a model’s assumptions are invalid, 7. evaluate empirical models based on whether their resulting estimators...
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...Prompt #11: I believe that the eighty/ twenty rule that Malcolm Gladwell discusses in the novel, meaning that eighty percent of work is done by twenty percent of people, is very relatable to the real world. This 80/20 rule is known mainly as Pareto's Law. Founded by Vilfredo Pareto in 1906, the formula was established to describe the inequal distribution of wealth in Pareto's home country of Italy. He stated that 20% of the people owned 80% of the countries wealth and hence the eighty/ twenty rule was established. The 80/20 rule has been changed from its strictly economical meanings to purely mean that in anything a few (20 percent) are vital and many(80 percent) are trivial. Two modern day examples where this rule is clearly visible are in the classroom and also in athletics. In sports the eighty twenty rule could be displayed in many different ways. One example would be the salaries of players. If you look at the roster of the New York Knicks, a basketball team in the Eastern Conference of the NBA, you will find that they have had a total of 21 players this season. Between those 21 athletes the team as a whole was set to make over eighty-one million dollars. If you look at the individual player salaries though you will find that not all players make an even amount. In fact, the top four earners on the team (Carmelo Anthony, Amare Stoudemire, Andrea Bargnani, and Jose Caledron) were set to earn almost 63 million dollars alone. That's almost 77% of the teams total...
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...condition (mainly cloudy, sunny and partly sunny). Using Excel’s Regression Tool, the YorkU graduate obtained the following Excel output. Regression Statistics Multiple R A R Square B Adjusted R Square C Standard Error D Observations 210 ANOVA df SS MS F Significance F Regression E 6596 I 77.00 0.0000 Residual F H J Total G 10091 Coefficients Standard Error Intercept 1003 55.12 18.19 0.0000 Temperature 0.194 0.029 K 0.0000 PH Level -265.6 14.75 -18.01 0.0000 PH Level-Sq 17.76 0.983 18.07 0.0000 Mainly Cloudy -1.07 0.700 -1.53 0.1282 Sunny 1.16 0.700 1.65 0.0997 t Stat P-Value 1. Clearly define the independent variables being considered. 2. Specify the multiple regression model using all independent variables being considered. 3. Fill in the following table with the correct values of E, F and G. ANSWERS E -...
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...STAT200 final exam 2016 Click Link Below To Buy: http://hwcampus.com/shop/stat200-final-exam-2016/ On Multiple Choice questions, please explain and/or show your work as necessary. Other questions please show your work as well. _____1. Ten different senators are randomly selected without replacement, and the number of terms that they have served are recorded. Does this constitute a binomial distribution? Select an answer, and then state why. a. No b. Yes Why: _____2. Which of the following pairs are NOT independent events? a. Flipping a coin and getting a head, then flipping a coin and getting a tail b. Throwing a die and getting a 6, then throwing a die and getting a 5 c. Selecting a red marble from a bag, returning the marble to the bag, then selecting a blue marble d. Drawing a spade from a set of poker cards, setting the card aside, then selecting a diamond from the set of poker cards e. All of the above are independent events _____3. Exam scores from a previous STATS 200 course are normally distributed with a mean of 74 and standard deviation of 2.65. Approximately 95% of its area is within: a. One standard deviation of the mean b. Two standard deviations of the mean c. Three standard deviations of the mean d. Depends on the number of outliers e. Must determine the z-scores first to determine the area _____4. You had no chance to study for the final exam and had to guess for each question. The instructor gave you three choices for the...
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...STAT200 final exam 2016 Click Link Below To Buy: http://hwcampus.com/shop/stat200-final-exam-2016/ On Multiple Choice questions, please explain and/or show your work as necessary. Other questions please show your work as well. _____1. Ten different senators are randomly selected without replacement, and the number of terms that they have served are recorded. Does this constitute a binomial distribution? Select an answer, and then state why. a. No b. Yes Why: _____2. Which of the following pairs are NOT independent events? a. Flipping a coin and getting a head, then flipping a coin and getting a tail b. Throwing a die and getting a 6, then throwing a die and getting a 5 c. Selecting a red marble from a bag, returning the marble to the bag, then selecting a blue marble d. Drawing a spade from a set of poker cards, setting the card aside, then selecting a diamond from the set of poker cards e. All of the above are independent events _____3. Exam scores from a previous STATS 200 course are normally distributed with a mean of 74 and standard deviation of 2.65. Approximately 95% of its area is within: a. One standard deviation of the mean b. Two standard deviations of the mean c. Three standard deviations of the mean d. Depends on the number of outliers e. Must determine the z-scores first to determine the area _____4. You had no chance to study for the final exam and had to guess for each question. The instructor gave you three choices for the...
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...TermPaperWarehouse.com - Free Term Papers, Essays and Research Documents The Research Paper Factory JoinSearchBrowseSaved Papers Search over 100,000 Essays Home Page » Business and Management Exercise 36 Questions to Be Graded In: Business and Management Exercise 36 Questions to Be Graded EXERCISE 36 Questions to be graded 1. The researchers found a significant difference between the two groups (control and treatment) for change in mobility of the women with osteoarthritis (OA) over 12 weeks with the results of F(1, 22) = 9.619, p = 0.005. Discuss each aspect of these results. * The F-value suggests that there is a significant difference between the results of the control and treatment groups. The P-value of 0.005 is < the alpha of 0.05. This suggest that the groups are significantly different and the null hypothesis should be rejected. 2. State the null hypothesis for the Baird and Sands (2004) study that focuses on the effect of the GI with PMR treatment on patients’ mobility level. Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer. * Treatment group mean = control group mean * With the p-value being < the alpha, the null hypothesis would be rejected indicating the difference in the mean mobility scores. 3. The researchers stated that the participants in the intervention group reported a reduction in mobility difficulty at week...
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...Grammar 2 0 2 PE 101 Physical Education I 0 2 1 15 6 17 14 8 17 Second Year (Sophomore) COE 202 Digital Logic Design 3 0 3 ICS 202 Data Structures 3 3 4 ICS 201 Introduction to CS 3 3 4 COE 205 Computer Organization & Assembly 3 3 4 EE 201 Electric Circuits I 3 3 4 MATH 260 Linear Algebra & Differential Eqs. 3 0 3 MATH 201 Calculus III 3 0 3 ICS 252 Discrete Structures 3 0 3 IAS 212 Professional Ethics 2 0 2 ENGL 214 Academic & Professional Comm. 3 0 3 PE 102 Physical Education II 0 2 1 COE 203 Digital Logic Laboratory 0 3 1 14 8 17 15 9 18 Third Year (Junior) COE 305 Microcomp. Syst. Design 3 3 4 COE 308 Computer Architecture 3 0 3 STAT 319 Prob. & Stat. For Eng. & Sc. 2 3 3 COE 442 Computer Networks 3 3 4 COE 342 Data & Computer Comm. 3 0 3 COE 390 Seminar 1 0 1 COE/ICS/SWExxx IT Elective 3 0 3 EE 203 Electronics I 3 3 4 IAS 201 Writing for Prof. Needs 2 0 2 XXX xxx Free Elective 3 0 3 IAS 311 Islamic Shariah 2 0 2 13 6 15 15 6 17 Summer Session COE 399 Summer Training 0 0 0 Fourth Year (Senior) COE 485 Senior Design Project 1 6 3 COE 400 System Design Lab. 1 6 3 COE 4xx COE Elective 3 0 3 COE 4xx COE Elective 3 0 3 ICS 431 Operating Systems 3 3 4 XXX xxx Free Elective 3 0 3 COE 360 Principles of VLSI Design 3 0 3 XXX xxx General Elective 3 0 3 IAS 301 Oral Communication Skills 2 0 2 IAS 4xx IAS Elective 2 0 2 12 9 15 12 6 14 Total credit hours required in...
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