NAME: ANSWER KEY Econometrics First Test‚ Queens College‚ I. R. Kelly Thursday‚ September 27th‚ 2012‚ 9:25-10:40am Please put all answers on the question sheet. You have one hour and fifteen minutes to finish the test. Best of luck. 1. (6 points) How does a panel data set differ from a regular pooled data set? Give a specific example. A pooled data set is one that combines both time series and cross-sectional data; in other words‚ there are many cross-sectional units over a period of time
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8‚ 6‚ 3‚ 1‚ 12 A) 3 B) 5 C) 6 D) 7 Find the mode for the following data? 5‚ 4‚ 3‚ 4‚ 5‚ 6‚ 5‚ 5‚ 3‚ 4 A) 3 B) 4 C) 5 D) 6 If a set of data has 49 values with a variance of 9.6‚ then the standard deviation is _________. A) 1.4 B) 0.4 C) 0.2 D) 3.1 If a data set has 9 values and a standard deviation 9.4‚ then the variance is ________. A) 88.4 B) 3.1 C) 29.5 D) 28.2 The staff at a small company includes: 4 secretaries‚ 20 technicians‚ 4 engineers‚ 2 executives‚ and 50 factory workers
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amount of money actually spent on the completed work = $6‚783.85 SV: this variance is used to calculate how much a project is over or under budget = -$15‚799.04 CV: this variance is used to determine if a project is ahead or behind schedule = $336.35 EAC: the expected total cost required to finish complete work = $34‚489.68 BAC: this is total cost of the project at completion = $36‚199.69 VAC: variance of total cost of the work and expected cost = $1‚710.01 Turn in this sheet
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over the past year? c. If the inflation rate last year was 4 percent‚ what was your total real rate of return on this investment? (Hint: use the Fisher equation) 3. Using the following returns‚ calculate the arithmetic average returns‚ the variances‚ and the standard deviations for X and Y. 4. You bought one of Great White Shark Repellant Co.’s 8 percent coupon bonds one year ago for $1‚030. These bonds make annual payments and mature six years from now. Suppose you decide to sell your bonds
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Test of Hypothesis – Large Sample Test Critical Value (Zx) | Level of Significance (x) | | 1% | 5% | Two tailed test | Z = 2.58 | Z = 1.96 | One tailed test | Z = 2.33 | Z = 1.64 | Q. Z= X- μ σ√n = x- μS.EX The mean height of a random sample of 100 students is 64” and standard deviation is 3”. Test the statement that the mean height of population is 67” at 5% level of significance. Solution: We are given n = 100
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c. X is a zero mean Gaussian random variable with variance σ 2 . 4.100 Let X be the number of successes in n Bernoulli trials where the probability of success is p. Let Y = X/n be the average number of successes per trial. Apply the Chebyshev inequality to the event {|Y − p| > a}. What happens as n → ∞? 4.102 a. Find the characteristic function of the random variable X uniformly distributed over [−b‚ b). b. Find the mean and variance of X by applying the moment theorem. 4.105 modified
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he can consider decreasing the variance of the delivery times. The breakdown of the total delivery time into preparation time‚ waiting time and travel time gives us some ideas for the improvement. MEAN(Prep Time) STD(Prep Time) 15.11 1.105976378 Preparation of the pizzas takes 15.1 minutes on the average with a standard deviation of 1.1 minutes. The small standard deviation compared to the mean implies that the preparation process is pretty standard and variance of the preparation time is not
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for a sample of 10 trading days is shown below. Day Stock Price 1 84 2 87 3 84 4 88 5 85 6 90 7 91 8 83 9 82 10 86 For the above sample‚ compute the following measures. a. b. c. The mean = ∑X/n = 860/10 = 86 The median = (85+86)/2 = 85.5 The variance = ∑ X - X 2/ n-1 = {(84-86)2 + (87-86)2 + (84-86)2 + (88-86)2 + (85-86)2 + (90-86)2 + (91-86)2 + (83The standard deviation = √8.89 = 2.98 The coefficient of variation = 2.98/86 * 100% = 3.47% 86)2 + (82-86)2 + (86-86)2 } / (10 -1) = 8.89 d. f
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COMPUTER ASSIGNMENT FINS2624 Session 1‚ 2012 Instructions Please read these instructions carefully before you start. Groups You may cooperate on this assignment in groups consisting of up to three students. If you prefer to work alone or with only one other student that is fine‚ too. Either way‚ make sure to enter the student IDs (including the letter) and names of all students in your group in the appropriate cells (B1:B6) on the Answers sheet. There will be draconian punishments for
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These wetland systems has experienced drought in 1950‚ 2005 and 2008. Each event occurred for the duration of nine‚ eighteen and ten months respectively refer to figure 1.1 “ Invertebrate richness”. The mean‚ standard deviation‚ standard error and variance of the available data given were calculated using the formulas shown in figure 1.0. The data available was also plotted into a line graph (refer to figure 1.2 “The number of invertebrate present in each wetland with year”) to easily determine the
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