Determine the sampling distribution of the sample mean for samples of size 60. b . Repeat part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer. Ans: a . Approximately normally distributed with mean 4.60 and standard deviation 0.021. b . Approximately normally distributed with mean 4.60 and standard deviation 0.015. c . No‚ because‚ in each case‚ the sample size exceeds 30. 2. Diamond Pricing
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Math 5067 001 Homework 1 Due 9/11/13 1. Read Chapter 1 in the DHW text (sections 1.1 – 1.3 are mandatory) and answer the following: a. List at least three incentives for an insurance company to develop new insurance products. b. (Exercise 1.1 in DHW) Why do insurers generally require evidence of health from a person applying for life insurance but not for an annuity? c. (Exercise 1.3 in DHW) Explain why premiums are payable in advance‚ so that the first premium is due at issue‚ rather than in
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International Portfolio Management Fall 2010 PROBLEM SET 1 Investment Policy and Bond Portfolio management Due date: Friday‚ September 17‚ 5:00 pm. No late problem sets will be accepted. 1. Assume that at retirement you have accumulated $825‚000 in a variable annuity contract. The assumed investment return is 5.5% and your life expectancy is 18 years. What is the hypothetical constant benefit payment? PV = -825‚000‚ i = 5.5‚ n = 18‚ PMT = 73‚358.93. 2. You manage a
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Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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in the 1st row → OK • This gives you the covariance matrix • To fill out the matrix: Copy → Paste Special → Transpose • 6. Generating Scenarios Data Analysis → Random number generation → # of variables: 6 (the number of companies in the portfolio) → # of random numbers: 10 000 → distribution: uniform Calculate the sum of each row for the weights‚ they’ll never = 1 Normalize the weights: divide the weight of each stock by the sum of all the weights; this makes the weights=1 • You cannot
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specimens of PVC pipe. Assume that the population is normally distributed. The sample mean is ̅ and the sample standard deviation is . Find a 99% lower confidence bound on Izod impact strength. Sol: 99% lower confidence bound on mean Izod impact strength n 20 x 1.25 s 0.25 t0.01‚19 2.539 s x t0.01‚19 n 0.25 1.25 2.539 20 1.108 2. (28-5) (18 points) A random sample of 100 automobile owners shaws that‚ in the state of Virginia‚ an automobile
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Discuss the approach to teaching math taken in the Montessori classroom. Montessori is an approach which many have adopted these days as a teaching method for children in preschool. The materials which they use create an environment that is developmentally appropriate for the children. Montessori believes that with the helped of trained teachers and the proper environment which the children are placed in‚ intelligence and different skills will be developed in the child (Casa Montessori‚
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Taras Malsky MT.1102 AB Dr.S.Washburn Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic‚ with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry‚ they were able to correctly calculate the areas of triangles‚ rectangles‚ and trapezoids and the volumes of figures such as bricks‚ cylinders‚ and pyramids. They were also able to build the Great Pyramid
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In Mathematics‚ a periodic function is a function that repeats its values in regular intervals or periods. Periodic functions are used throughout science to describe oscillations‚ waves‚ and other phenomena that exhibit periodicity. Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic‚ then there is some value n for which
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Part A Q2-Maths Assignment 2012‚ Mrs Pillai Lvl 1 Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example‚ the number pi (II). However‚ irrational numbers cannot be represented as decimals‚ unlike rational numbers‚ which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast‚ irrational
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