Syllabus Information |
Fall 2021
Apr 26, 2024 |
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| Elementary Statistics - 41399 - MATH 1110 - OL1 |
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Associated Term: Fall 2021
Levels: Undergraduate, Undergraduate Second Degree, Undergraduate Third Degree, Licensure Only, Undergraduate Distance Learning Campus Lecture Schedule Type Web-Based Instructional Method Learning Objectives: Course Learning Outcomes Upon the completion of Math 1110 students should be able to: 1. Apply the process of data collection. • Distinguish between the different types of variables (qualitative, quantitative, discrete, and continuous). • Distinguish between an observational study and an experiment • Understand and apply the various types of sampling techniques (a simple random sample, a stratified sample, a systematic sample, and a cluster sample). • Understand how error can be introduced during sampling • Understand the steps involved in designing an experiment. 2. Organize and summarize data • Organize qualitative data in tables and construct bar graphs pie charts • Organize quantitative in tables, construct histograms, draw stem-and-leaf plots, draw dot plots, and identify the shape of a distribution • Compute and interpret measures of central tendency • Compute and interpret measures of dispersion • Compute and interpret measures of Central Tendency and dispersion from grouped data. • Compute and interpret measures of position and outliers 3. Describe the relation between two variables • Draw and interpret scatter diagrams • Understand & describe the properties of linear correlation coefficient. • Compute and interpret the linear correlation coefficient • Find the least-squares regression line and make predictions • Interpret the slope and y-intercept of the LSR. • Compute and interpret residuals • Compute and interpret coefficient of determination 4. Apply the Properties Probability and Probability Distributions • Probability rules • Addition rule and complements • Independence and the multiplication rule • Conditional probability and the general multiplication rule 5. Describe the Distribution of Discrete Random Variables • Identify discrete probability distributions • Compute and interpret the mean of a discrete random variable; expected value • Compute the variance and standard deviation of a discrete random variable 6. Apply the Properties of the Normal Distribution • Graph a normal curve • State the properties of the normal curve • Explain the role of area in the normal density function • Describe the relation between a normal random variable and a standard normal random variable • Find and interpret the area under the standard normal curve as a probability • Find the value of a normal random variable 7. Make Inferences from Samples to Populations • Describe the distribution of the sample mean from normal and not normal populations • Construct confidence intervals for a population mean when the population standard deviation is known • Perform and interpret hypothesis tests regarding a parameter 8. Use appropriate technology (MathXL, TI-83/84 graphing calculator, Microsoft Excel) to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results. • Embedded throughout the course. Required Materials: MATH 1110 ELEMENTARY STATISTICS COURSE MWF OUTLINE FALL 2011 DATE SECTION TOPIC ASSIGNMENTS August 22 First day of Class Discuss Syllabus; MyMathLab Orientation 24 1.1-1.2 Intro to the Practice of Statistics; Observational Studies; Designed Experiments Preview 1.1 – 1.2 26 1.3-1.4 Simple Random Sampling; Other Effective Sampling Techniques Preview 1.3 – 1.4 29 Pre-Test Bring a #2 pencil 31 1.5-1.6 Bias in Sampling; The Design of Experiments Preview 1.5-1.6 Sept 2 2.1-2.2 Organizing Qualitative Data; Organizing Quantitative Data Preview 2.1-2.2 5 Labor Day 7 2.3 Graphical Misrepresentation of Data; Prep for Test 1 Preview 2.3 Review 1.1-2.3 9 Test 1 1.1-2.3 12 3.1-3.2 Measures of Central Tendency; Measures of Dispersion (Range, Variance, Standard Deviation) Preview 3.1-3.2 14 3.2-3.3 Measures of Dispersion (Empirical Rule, Chebyshev’s Inequality); Measures of Central Tendency & Dispersion from Grouped Data Preview 3.3 16 3.4-3.5 Measures of Position; The Five-Number Summary & Box-plots Preview 3.4-3.5 19 Prep for Test 2 Review 3.1-3.5 21 Test 2 3.1-3.5 23 4.1 Scatter Diagrams and Correlation Preview 4.1 26 4.2 Least Squares Regression Preview 4.2 28 4.3 Coefficient of Determination Preview 4.3 30 5.1 Probability Rules Preview 5.1 Oct 3 Prep for Midterm Exam Review 1.1-3.5 5 Midterm Exam 1.1-3.5 7 5.2 Addition Rules and Compliments Preview 5.2 10 5.3 Independence and Multiplication Rule Preview 5.3 12 5.4 Conditional Probability Preview 5.4 14 Fall Break 17 6.1 Rules of Discrete Probability Distribution Preview 6.1 19 Prep for Test 3 Review 4.1-4.3 5.1-5.4, 6.1 21 Test 3 4.1-4.3 5.1-5.4, 6.1 24 7.1 Properties of the Normal Distribution Preview 7.1 26 7.2 The Standard Normal Distribution Preview 7.2 28 7.3 Application of Normal Distribution Preview 7.3 31 Founder’s Day Nov 2 8.1 Distribution of the Sample Mean Preview 8.1 4 9.1 Construction Confidence Intervals Preview 9.1 7 Prep for Test 4 Review 7.1-7.3, 8.1, 9.1 9 Test 4 7.1-7.3, 8.1, 9.1 11 10.1 Language of Hypothesis Testing Preview 10.1 14 10.2 Hypothesis Testing for Population Mean, Standard Deviation Known Preview 10.2 16 10.3 Hypothesis Tests for Population Mean, Standard Deviation Unknown Preview 10.3 18 11.1 Inference about Two Means Preview 11.1 21 11.2 Dependent & Independent Samples Preview 11.2 23 Thanksgiving Holiday 25 Thanksgiving Holiday 28 Test Prep for Test 5 Review 10.1-10.3-11.1-11.2 30 10.3 Test 5 10.1-10.3-11.1-11.2 Dec 2 Catch-up 5 Catch-up Complete Previews prior to class; Last Day to Challenge course by examination for credit September 8th; Early Warning Reports are Due September 16; Midterm Grades are due October 7th; Last Day to Withdraw with “WC” or “W” October 19th; Last Day of Class December 5th Technical Requirements: MyMathLab Access, Course ID: townsend61628 Textbooks: E-Text Fundamentals of Statistics 3rd edition by Michael Sullivan II Technology Requirement: MyMathLab Access, TI-83/84 Graphing Calculator View Catalog Entry
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