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wacsylsp02 - STA 2023 Introduction to Statistics I Course...

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STA 2023 Introduction to Statistics I, Course Outline Spring, 2002 WEEK TOPICS 1. Introduction (1.1 - 1.4, 1.6)*; Omit (1.5); Omit (2.1); Measures of central tendency (2.3-2.4). 2. Relative frequency distributions and histograms (2.2); Measures of variability (2.4-2.5); Interpret- ing the standard deviation, rare events and statistical inference, percentiles, an approximation to s (2.6-2.7); Stem and leaf displays (2.2). 3. MLK Birthday – Holiday; Quiz 1 ; Boxplots, Outliers, Scatter diagrams (2.8-2.9); Sample spaces, simple events, events, and the probability of an event (3.1); 4. Unions and intersections (3.2); Complementary events (3.3); Mutually exclusive events, the Addi- tive Rule (3.4); Conditional probability (3.5); The Multiplicative Rule, Independence (3.6); Omit (3.7-3.8); 5. Random variables and probability distributions (4.1-4.2); Quiz 2 ; Expected value and variance of discrete random variables (4.3). 6. Review for Exam 1 (time permitting); EXAM 1 ; Binomial random variables, mean and variance of the binomial distribution (4.4). 7. Binomial tables (4.4); Omit (4.5-4.6); Continuous random variables (5.1); Omit (5.2); Table of the standard normal distribution (z-table); Normally distributed random variables (5.3); Omit (5.4-5.6). 8. Sampling distributions, properties of estimators (6.1-6.2); The sampling distribution of the sample mean, the Central Limit Theorem (6.3); Quiz 3 ; Large sample confidence interval for a population mean (7.1). 9. SPRING BREAK!!! 10. Large sample confidence interval for a population proportion (7.3); Determining the sample size (7.4); Hypothesis testing (general considerations) (8.1); Large sample hypothesis tests for a popu- lation mean (8.2). 11. Large sample hypothesis tests for a population mean (8.2); Observed significance levels (8.3); Large sample hypothesis tests for a population proportion (8.5). 12. Review for Exam 2 (time permitting); EXAM 2 ; Small sample inferences about a population mean (7.2, 8.4); Omit (8.6-8.7). 13. Small sample observed significance levels (8.4); Inferences concerning the difference in two popu- lation means (9.1) 14. Design and analysis of the paired difference experiment (9.2); Quiz 4 ; Comparing two population proportions (9.3); Omit (9.4-9.5). 15. Deterministic and probabilistic models (11.1); Least squares estimates for slope and intercept (11.2); Understanding the simple linear regression model (11.3); Estimating the variance in simple linear regression (11.3); Hypothesis tests about the slope. 16. More on simple linear regression; Review (if time is available). *Numbers in parentheses indicate chapter and section numbers. For example, (1.2) represents Chapter 1, Section 2. 1

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1 COURSE OBJECTIVES: Inference, in the form of estimates, decisions, and predictions, plays a vital role in everyday life and in organized research. In many cases, a knowledge of statistics will allow a quantitative assessment of the risk involved with each inference and, hence, improve the basic knowledge of inference-making procedures for undergraduates with diverse academic backgrounds. STA 2023 is designed as both a terminal course for those not likely to be intimately involved in research in their academic fields, and as an introductory course for those who are.
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wacsylsp02 - STA 2023 Introduction to Statistics I Course...

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