Assignment 2. State the meaning or definition of each of the following terms: • Central Limits Theorem: A statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population. Furthermore, all of the samples will follow an approximate normal distribution pattern, with all variances being approximately
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Department of Mathematics National University of Singapore Academic year (2000/2001) I Summary Value at Risk (VaR) is one of the most popular tools used to estimate exposure to market risks, and it measures the worst expected loss at a given confidence level. In this report, we explain the concept of VaR, and then describe in detail some methods of VaR computation. We then discuss some VaR tools that are particularly useful for risk management, including marginal VaR, incremental VaR and component
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Assignment 6 – Data Analysis ETM 5943 10/29/2012 I have used SAS Enterprise Guide 5.1 to analyze the given data. Part 1 (Basic statistics and graphical analysis) Data: ETM_data_analysis1.xls, tab Shipping A project team is assigned a task to determine why customer complaints are increasing regarding the shipping operation. The attached data set provides several weeks of data with due dates, ship dates and the day of the week the orders shipped. Days Late is calculated from the
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Basic Econometrics Tools Correlation and Regression Analysis Christopher Grigoriou Executive MBA – HEC Lausanne 2007/2008 1 A collector of antique grandfather clocks wants to know if the price received for the clocks increases linearly with the age of the clocks. The following model: yi=a0 + a1*x1i + εi , where yi=Auction price of the clock i, x1i=Age of clock (years), A sample of 32 auction prices of grandfather clocks, along with their age, is given in the next table. Table 1- Auction
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Null Hypothesis as an Assumption to Be Challenged Summary of Forms for Null and Alternative Hypotheses 9.2 TYPE I AND TYPE II ERRORS 9.3 POPULATION MEAN: σ KNOWN One-Tailed Test Two-Tailed Test Summary and Practical Advice Relationship Between Interval Estimation and Hypothesis Testing 349 Statistics in Practice STATISTICS in PRACTICE JOHN MORRELL & COMPANY* CINCINNATI, OHIO John Morrell & Company, which began in England in 1827, is considered the oldest continuously operating meat manufacturer
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Number of pizzas sold last year in Malaysia | ̷̷ | | e. | Weights of newborn infants at a certain hospital | ̷̷ | | f. | Water temperature of the sauna at a health spa | | ̷̷ | 3. Classify each as nominal-level (N), ordinal-level (O), interval-level (I) or ratio-level ®. (Tick your answers in the correct category) | | N | O | I | R | a. | Ages of students enrolled in a martial arts course | ̷̷ | | | | b. | Rankings of weight lifters | | ̷̷ | | | c. | Temperature of automatic
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horizons (eg. monthly, weekly): m E ( ri ) E (ri ) nE (ri ) i 1 i 1 n n 2 n n thus E (ri ) m / n thus Var (ri ) s 2 / n s Var ( ri ) Var (ri ) nVar (ri ) i 1 i 1 We have n=1/Dt intervals of length Dt in a year (eg. for monthly n=1/(1/12) = 12 intervals of length 1/12 of a year), therefore: E (ri ) m / n m / (1/ Dt ) mDt Var (ri ) s 2 / n s 2 / (1/ Dt ) s 2 Dt Sigma(ri ) s Dt Fundamentals of Futures and Options Markets, 8th Ed, Ch 13, Copyright ©
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randomly select from each stratum 3. Cluster Random Sampling: Divide population into ______________ subgroups that are representative of population and select a few clusters 4. Systematic Sampling: with a random starting point, select at regular intervals COMM 291 Review Package prepared by Angelica Cabrera 1 EXAMPLE. You are considering ways to randomly sample UBC varsity athletes to learn about types of sports drinks they would
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Econ 184b Fall 2011 Solutions to Problem Set 1 1. (a) | Y = 0 | Y = 1 | Pr(X) | X = -10 | .225 | .175 | .40 | X = 0 | .0375 | .0125 | .05 | X = 10 | .4875 | .0625 | .55 | Pr(Y) | .75 | .25 | 1.0 | These probabilities are calculated using three facts: Pr(X = x | Y = y) = Pr(X = x, Y = y) Pr(Y = y) n ∑ Pr(X = xj , Y = yi) = Pr(X = xj) i=1 n ∑ Pr(Y = yi) = 1 i=1 (b) E(X) = (-10)(.40) +
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1.4051 B) 1.7507 C) 1.4051 D) 1.7507| 2.|A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 5% with 90% confidence?| |A) 64 B) 128 C) 255 D) 510| 3.|If the equation for the regression line is y = –8x + 5, then the intercept of this line is| |A) 10 B) 5 C) –3 D) –8| 4.|For the samples summarized below, test the hypothesis at
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