Prof. Gustavo Indart Department of Economics University of Toronto ECO 100Y INTRODUCTION TO ECONOMICS Problem Set 1 1. Labour is the only resource in an economy with the following maximum production possibilities. (The graph is drawn as a curve rather than points under the assumption that opportunity cost is constant between options.) Option 1 2 3 4 a) b) c) d) e) f) Clothes (Tons) 50 40 20 0 Food (Tons) 0 30 70 100 What is the opportunity cost of increasing Clothes production from 20 to 40
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P1-2010-2011-Spring Bus531 Standard Normaal Probability Problems 1- A university reported admission statistics for 3339 students who were admitted for freshmen for the fall semester of 1998. Of these students‚ 1590 had taken the Scholastic Aptitude Test (SAT). Assume the SAT verbal scores were normally distributed with a mean of 530 and a standard deviation of 70. a – What percentage of students were admitted with SAT verbal scores between 500 and 600? b - What percentage of students were
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Case Problem 1: National Health Care Association(Descriptive Statistics) The National Health Care Association is concerned about the shortage of nurses the health care profession is projecting for the future. To learn the current degree of job satisfaction among nurses‚ the association has sponsored a study of hospital nurses throughout the country. As part of this study‚ a sample of 50 nurses was asked to indicate their degree of satisfaction in their work‚ their pay and their opportunities for
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“ Statistics should be interpreted with caution as they can be misleading; they can both lie and tell the truth” Statistics are being used everyday to describe things in working and studying areas to show the productivity of the results they are hoping for. Therefore‚ people observe and notice alternative objects the world around. Throughout this fact‚ similarities and differences are such features that could endanger or turned out as advantages. This is called statistics. Explanations
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Chapter 9‚ Problem 17 Jack Hammer invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also‚ he believes that at the end of the third year he will be able to sell the stock for $33. What is the present value of all future benefits if a discount rate of 11 percent is applied? (Round all values to two places to the right of the decimal point.) Present value of a single amount PV = FV x PVIF
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STAT 600 Statistics and Quantitative Analysis PROJECT: Stock return estimation The project must be done by 6-15 a.m. October‚ 16th. You should submit your projects before the class begins. This is a group project. Read the course outline for general guidelines. Good luck! The project is closely related to Lectures 1-5 of the class. Today is September 15‚ 2013 and you have just started your new job with a financial planning firm. In addition to studying for all your license exams‚ you have
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Introduction Learning goals ❖ What is meant by Statistics ❖ What is meant by Descriptive Statistics and Inferential Statistics ❖ Difference between Parameter & Statistic ❖ Types of Statistical Inferences What is meant by Statistics ? Statistics is the science of collecting‚ organizing‚ presenting‚ analyzing‚ and interpreting numerical data to assist in making more effective decisions. Types of Statistics Descriptive Statistics : • Methods of organizing‚ summarizing‚ and presenting
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UNIVERSITY OF TORONTO Joseph L. Rotman School of Management RSM332 PROBLEM SET #2 SOLUTIONS 1. (a) Expected returns are: E[RA ] = 0.3 × 0.07 + 0.4 × 0.06 + 0.3 × (−0.08) = 0.021 = 2.1%‚ E[RB ] = 0.3 × 0.14 + 0.4 × (−0.04) + 0.3 × 0.08 = 0.05 = 5%. Variances are: 2 σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389‚ 2 σB = 0.3 × (0.14)2 + 0.4 × (0.04)2 + 0.3 × (0.08)2 − (0.05)2 = 0.00594. Standard deviations are: √ 0.004389 = 6.625%‚ σA = √ 0.00594 =
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listed above comprise a valid probability distribution? Explain. The individual probabilities are all between 0 & 1 and the sum = 100% b. What is the probability that a randomly selected request is for one of the three B’s? P(one of the B’s) = P(Bach) + P(Beethoven) + P(Brahms) = 5 + 26 + 9 = 40% c. What is the probability that a randomly selected request is for a Mozart piece? P(Mozart) = 21% d. What is the probability that a randomly selected request
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1. Introduction This report is about the case study of PAR‚ INC. From the following book: Statistics for Business an Economics‚ 8th edition by D.R. Anderson‚ D.J. Sweeney and Th.A. Williams‚ publisher: Dave Shaut. The case is described at page 416‚ chapter 10. 2. Problem statement Par‚ Inc. has produced a new type of golf ball. The company wants to know if this new type of golf ball is comparable to the old ones. Therefore they did a test‚ which consists out of 40 trials with the current
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