Community Hawai'i College
Course Syllabus
COURSE TITLE: COURSE IDENTIFICATION: CREDIT HOURS: PREREQUISITES:
Statistics Mathematics 115
3
"C" or better in Math 25X or Math 26 or placement in Math 115; and "C" or better in Eng 21 or placement in Eng 102 Natural Science & Mathematics
DIVISION:
DEPARTMENT: Mathematics INSTRUCTOR:
James A. Schumaker
EKH-225 [phone] see current semester information
OFFICE LOCATION: OFFICE PHONE: OFFICE HOURS: DATE: January 2003
COURSE DESCRIPTION: Presents basic introduction to topics in statistics including: descriptive statistics, elementary probability theory, normal and binomial distributions, and methods of statistical inference. Emphasis is on interpretation and application. Prerequisites: "C" or better in Math 25X or Math 26 or placement in Math 115; and "C" or better in Eng 21 or placement in Eng 102. COURSE OBJECTIVES: To be able to explain in writing and by example the difference between descriptive and inferential statistics. To be able to derive and interpret various descriptive statistics, such as the mean, median, mode, range, variance, and standard deviation. To be able to interpret data represented graphically. To be able to organize and present data using a frequency distribution and graphs. To be able to explain in writing and by examples the meaning of probability. To be able to solve probability problems involving the concepts of independent events, mutually exclusive events, and (if time permits) conditional probability. To be able to calculate probabilities involving binomial and normal distributed random variables. To be able to test hypotheses involving one or two means or proportions. To be able to find and interpret in writing confidence intervals. To be able to discern common abuses of statistics. In addition, as in most mathematical courses, students will be presented with the challenge of utilizing critical thinking along and development of communicating analyses in a neat and ordered fashion. INSTRUCTIONAL MATERIALS: Textbook: Calculators: Recommended: Elementary Statistics - 4th Edition by Allan G. Bluman Scientific or financial calculator (any brand/model). Student Solutions Manual for use with Elementary Statistics (prepared by Sally Robinson) A loose-leaf notebook for storing HomeWork, exams, and notes.
MATHEMATICS 115 STATISTICS / Course Outline
Chapter 1. The Nature of Probability and Statistics Introduction; Descriptive and Inferential Statistics; Variables and Types of Data; Data Collection and Sampling Techniques; Observational and Experimental Studies; Computers and Calculators. Chapter 2. Frequency Distributions and Graphs Introduction; organizing Data; Historgrams, Frequency Polygons, and Ogives; Other Types of Graphs. Chapter 3. Data Description Introduction; Measures of Central Tendency; Measures of Variation; Measures of Position; Exploratory Data Analysis. Chapter 4. Counting Techniques Introduction; Tree Diagrams and the Multiplication Rule for Counting; Permutations and Combinations. Chapter 5. Probability Introduction; Sample Spaces and Probability; The Addition Rules for Probability; The Multiplication Rules and Conditional Probability; Probability and Counting Techniques. Chapter 6. Discrete Probability Distributions Introduction; Probability Distributions; Mean, Variance, and Expectation; The Binomial Distribution; Other Types of Distributions. Chapter 7. The Normal Distribution Introduction; Properties of the Normal Distribution; The Standard Normal Distribution; Applications of the Normal Distribution; The Central Limit Theorem; The Normal Approximation to the Binomial Approximation. Chapter 8. Confidence Intervals and Sample Size Introduction; Confidence Intervals for the Known Mean and Sample Size; Confidence Intervals for the Unknown Mean; Confidence Intervals and Sample Size for Proportions; Confidence Intervals for Variances and Standard Deviations.
Chapter 9. Hypothesis Testing Introduction; Steps in Hypothesis Testing; z-Test for a Mean; t-Test for a Mean; z-Test for a Proportion; P2-test for a Variance or Standard Deviation; Additional Topics Regarding Hypothesis Testing. Chapter 10. Testing the Difference between Means, Variances, and Proportions Introduction; Testing the Difference between Two Means with Large Samples; Testing the Difference between Two Variances; Testing the Difference between Two Means with Small Independent Samples; Testing the Difference between Two Means with Small Dependent Samples; Testing the Difference between Proportions. Chapter 11. Correlation and Regression Introduction; Scatter Plots; Correlation; Regression; Coefficient of Determination and Standard Error of Estimate; Multiple Regression.