show your work as necessary. Other questions please show your work as well. _____1. Ten different senators are randomly selected without replacement, and the number of terms that they have served are recorded. Does this constitute a binomial distribution? Select an answer, and then state why. a. No b. Yes Why: _____2. Which of the following pairs are NOT independent events? a. Flipping a coin and getting a head, then flipping a coin and getting a tail b. Throwing a die and getting a 6
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CHAPTER 9 Hypothesis Tests CONTENTS 9.4 POPULATION MEAN: σ UNKNOWN One-Tailed Test Two-Tailed Test Summary and Practical Advice 9.5 POPULATION PROPORTION Summary 9.6 HYPOTHESIS TESTING AND DECISION MAKING 9.7 CALCULATING THE PROBABILITY OF TYPE II ERRORS 9.8 DETERMINING THE SAMPLE SIZE FOR A HYPOTHESIS TEST ABOUT A POPULATION MEAN STATISTICS IN PRACTICE: JOHN MORRELL & COMPANY 9.1 DEVELOPING NULL AND ALTERNATIVE HYPOTHESES The Alternative Hypothesis as a Research Hypothesis The Null
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Variance and Standard Deviation . . . . . . . . . . . . . . 17 3.2.4 “Shortcuts” for Binomial Random Variables . . . . . . . . 18 1 4 Probability Distributions 19 4.1 Binomial Distributions . . . . . . . . . . . . . . . . . . . . . . . . 19 4.2 Poisson Distributions . . . . . . . . . . . . . . . . . . . . . . . . . 21 4.2.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4.2.2 As an Approximation to the Binomial . . . . . . . . . . . 22 Normal Distributions . .
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Hypothesis Testing Statistical Method Karl Phillip R. Alcarde MBA University of Negros Occidental-Recoletos DEFINITION DEFINITION Hypothesis testing or significance testing is a method for testing a claim or hypothesis about a parameter in a population, using data measured in a sample. In this method, we test some hypothesis by determining the likelihood that a sample statistic could have been selected, if the hypothesis regarding the population parameter were true. Hypothesis testing
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THRU 6, 8, 9, 14 1. The standard normal distribution has mean ______ and standard dev. ______. 2. Let z be a random variable with a standard normal distribution. Find P(-2 < z < 1.2). 3. The life of a turntable is normally distributed with mean 2.3 years and std dev. .4 year. Find the probability that a turntable breaks down within 2 years. ( 4 decimal places) 4. For a random variable that is normally distributed, with mean 80 and standard deviation sigma
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LAB 1 –Mohammed Abdo 1.Analyze and discuss the results shown in the Statistics table (including definitions of the following statistical measures: Mean, Std. Error of Mean, Median, Mode, Std. Deviation, Variance, Skewness, Std. Error of Skewness, Kurtosis, Std. Error of Kurtosis, Range, Percentiles) (15%) Statistics | | Variable 1Life expectancy at birth (years), 2006 | Variable 2 Adult literacy rate (% aged 15 and above), 2006 | Variable 2 Combined gross enrolment ratio in education (%),
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1.10 Sampling Distributions The main objective of most statistical inference is to draw conclusion about the population parameters based on samples studies that is quite small in comparison to the size of the population. In order that conclusion of sampling theory and statistical inference valid, samples must be chosen so as to the representation of a population. For example, Television executives want to know the proportion of television viewers who watch that network’s program. Particularly
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or copied without the prior permission of the company. A FEW WORDS TO THE STUDENTS Analytics is becoming a popular tool for managerial decision making. It‘s still not so widespread in countries like India, but in the west it has become a standard practice. Previously studying analytics involved an in depth knowledge of statistics and programming languages. But widespread availability of statistical package software has changed the reality to some extent. Now more emphasis is given on the
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d) none of the above ANSWER: c TYPE: MC DIFFICULTY: Moderate KEYWORDS: confidence interval, interpretation 4. If you were constructing a 99% confidence interval of the population mean based on a sample of n = 25, where the standard deviation of the sample s = 0.05, the critical value of t will be a) 2.7970. b) 2.7874. c) 2.4922. d) 2.4851. ANSWER: a TYPE: MC DIFFICULTY: Easy KEYWORDS: critical
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level under normal market conditions. The usual holding periods are one day or one month. The confidence level is intuitively a reliability measure that expresses the accuracy of the result. The higher the confidence level, the more likely we expect VaR to approach its true value or to be within a pre-specified interval. Analytical VaR is also called Parametric VaR because one of its fundamental assumptions is that the return distribution belongs to a family of parametric distributions such as the
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