Define both terms and explain the difference between microeconomics and macroeconomics. Is gross domestic product a microeconomic or macroeconomic question? Is the price change of pizza a microeconomic or macroeconomic question?
Question 4: (25 marks) 150 words Making a decision can be very easy or difficult, depending on the amount of information you have about your choices. In choosing a career path, it is important to think about many factors, like the kind of decision-maker you are, what decision-making style you use, and things that can interfere with the decision-making process. A. List and Explain Decision Making Styles. B. List and Explain Decision Making Steps.ig services . SQU Libraries . SQU Portal Attendance English (en) . AR ALGEBRA AND MUTIVARIATE CALCULUS FOR ENGINE Given the matrices: swered it of 20.00 A = uestion 3 a. Use the Gauss elimination method to reduce the matrix A to the echelon form. b. Choose the system of equations Ax = 0. Then answer the following questions: 10. The set of vectors: [0 1 -3 -1], [1 0 1 1] is linearly independent. Choose.. Answer: yes or no 20. det(A ') is non zero. Answer yes or no Choose.. 18. The system Ax = 0 has a non-trivial solution. Answer yes or no Choose. 14. The set of vectors: [1 0 1 1], [1 1 -2, 0] is linearly dependent. Answer: Choose. yes or no 13. The set of vectors: [1 0 1 1], [3 10 2] is linearly independent. Answer: Choose. yes or no 12. The set of vectors: [0 1 -3 -1], [1 1 -2, 0] is linearly independent. Choose. Answer: yes or no 2. Choose the rank of the matrix A Choose. 11. The set of vectors: [0 1 -3 -1], [3 1 0 2] is linearly dependent. Choose. Answer: yes or no2. Consider the simple linear model yi = Bo + Bicitei, i = 1, ...,n with E(ci) = 0, Var(ci) = 02, and e's are uncorrelated. For the ordinary least squares estimators Bo and B1: (a) Show that Cov(y, 31) = 0. (b) Show that Cov(Bo, B1) = -502/ Zi(xi - x)2. (c) Show that Var(Bo) = Hint: Bo = y - BitQuestion 1 (Sampling distribution) (8 point) Please shortly answer the following questions: (a) Explain the difference between the sample average Y and the population mean. (b) Explain the difference between an estimator and an estimate. Provide an example of each. Question 2 (Law of large numbers and Central limit theorem) (12 point) In a population, my = 200 and of = 49. Use the law of large numbers and central limit theorem to answer the following questions: (a) In a random sample of size n = 100, find E(Y) and P(Y x) = 0.1). Question 4 (Standard normal distribution) (18 point) Excess revenue (total revenue minus operating expenditures) in the nonprofit sector are normally distributed with a mean of $2.5 million and a standard deviation of $4 million. (a) What is the probability that a randomly selected nonprofit has negative excess revenues? (Hint: we are looking for P(X x) = 0.05)
