Examination Name: Course: Date: Final Examination in Statistics (M.A.Ed./M.A.N.) 1.The scores of 15 masteral students in Statistics were 80‚85‚78‚90‚91‚98‚95‚98‚95‚74‚71‚72‚98‚99‚and 87. Find the measures of central tendency‚ the range‚ the variance‚ and the standard deviation. 2. In the performance evaluation of teachers‚ if the dean’s evaluation is given a weight of 5‚ self-evaluation is 2‚ peer’s evaluation is 2‚ and student’s evaluation is 1 and the teacher’s rating is 90‚ 95
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24.32% 3.15% Foreign Equity 14.44% 12.42% 30.87% 3.83% Bonds 11.10% 5.40% 10.83% 0.58% REITs 13.54% 9.44% 9.91% 0.94% Commodities 18.43% 10.05% 24.07% 2.42% Total 100.00% 10.92% 0.815960738 Portfolio Mean Return 10.92% Portoflio Variance 0.90% Portfolio S.D 9.46% Calculation of Covariance (Do Not Alter Formula) Correlation Matrix US Equity Foreign Equity Bonds REITs Commodities US Equity 1 0.62 0.25 0.56 -0.02 Foreign
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to a camp. If 15% of the children in the school are first graders‚ and the 18 children are selected at random from among all 6 grades at the school‚ find the mean and variance of the number of first graders chosen? The mean is 2.7‚ and the variance is 2.3. n = 18 p = .15 q = .85 Mean = np = 18 x .15 = 2.7 Variance = npq = (18 x .15 x .85) = 2.295 ≈ 2.3 3. A producer plans an outdoor regatta for May 3. The cost of the regatta is $8000‚ which includes advertising‚ security‚ printing
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following is a random sample of six entertainment expenses (dinner costs for four people) from expense reports submitted by members of the sales force. $157‚ $132‚ $109‚ $145‚ $125‚ $139. Calculate the mean and sample variance(s^2) and standard deviation. Mean = 807/6 = 134.5. Sample Variance = (109925 – (807^2/6)/6-1 = (109925 – 108541)/5 = 1384/5 = 276.8. Standard Deviation = √276.8 = 16.6373. ***the 109925 is all values of x individually squared and then summed together. ***the 6-1 is because it
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1/08/13 Probability Primer Principles of Econometrics‚ 4th Edition Probability Primer Page 1 ! Announcement: ! Please make sure you know who your tutor is and remember their names. This will save confusion and embarrassment later. ! Kai Du (David) ! Ngoc Thien Anh Pham (Anh) ! Zara Bomi Shroff Principles of Econometrics‚ 4th Edition Probability Primer Page 2 Chapter Contents ¡ P.1 Random Variables ¡ P.2 Probability Distributions ¡ P.3 Joint
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STA304 H1 S/1003 H S Winter 2013 Dragan Banjevic (I) Note: A lot of material will be used from Internet‚ some with reference‚ some without. 2 CITY OF TORONTO NEIGHBOURHOODS 1 West Humber-Clairville 19 Long Branch 36 Newtonbrook West 54 O’Connor-Parkview 2 Mount Olive-SilverstoneJamestown 20 Alderwood 37 Willowdale West 55 Thorncliffe Park 3 Thistletown-Beaumond Heights 21 Humber Summit 38 Lansing-Westgate 56 Leaside-Bennington 4 Rexdale-Kipling
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stocks. b. Calculate the variance and standard deviation of the small company returns and large company common returns. 5. The table below provides a probability distribution for the returns on stocks A and B State Probability Return On Stock A Return OnStock B 1 20% 5% 50% 2 30% 10% 30% 3 30% 15% 10% 4 20% 20% -10% a. Given a probability distribution of returns‚ calculate the expected return‚ variance‚ standard deviation of Stock
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Assignment for Week -2 Chapter 5 (5 - 9) Bond Valuation and Interest Rate Risk Bond L Bond S INS = $100 INS = $100 M = $1‚000 M = $1‚000 N = 15 Years N = 1 Year a) 1) rd = 5% VBL = INT/ (1 + rd)t + M/ (1 + rd)N =INT [1/rd – 1/ rd(1 + rd)N ] + M/ (1 + rd)N =$100 [1/0.05 – 1/ 0.05(1 + 0.05)15] + $1‚000/ (1 + 0.05)15 =$1040 + $480.77 = $1518.98
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A population of measurements is approximately normally distributed with mean of 25 and a variance of 9. Find the probability that a measurement selected at random will be between 19 and 31. Solution: The values 19 and 31 must be transformed into the corresponding z values and then the area between the two z values found. Using the transformation formula from X to z (where µ = 25 and σ √9 = 3)‚ we have z19 = (19 – 25) / 3 = -2 and z31 = (31 - 25) / 3 = +2 From the area between z =±2 is 2(0
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Problems on Risk and Return 1) Using the following returns‚ calculate the arithmetic average returns‚ the variances and the standard deviations for X and Y. Year X Y 1 8% 16% 2 21 38 3 17 14 4 -16 -21 5 9 26 2) You bought one of the Great White Shark Repellant Co’s 8 per cent coupon bonds one year ago for $1030. These bonds make annual payments and mature six years from now. Suppose you decide to sell your bonds today ‚when the required return on the bonds is 7 per cent
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