MATH115H Elementary Statistics (Honors section)
Department of Science, Technology, Engineering & Mathematics: Mathematics
- I. Course Number and Title
- MATH115H Elementary Statistics (Honors section)
- II. Number of Credits
- 3 credits
- III. Number of Instructional Minutes
- 2250 minutes
- IV. Prerequisites
- Math Placement Test score of 7 or higher or MATH101 (C or better) or MATH103 (C or better) or MATH110 (C or better); admission to the Honors@Bucks program
- V. Other Pertinent Information
A written paper is required.
This course meets the General Education requirement for Critical Thinking.
This course meets the General Education requirement for Quantitative Literacy.
MATH115H is part of the Honors@Bucks program. Honors@Bucks challenges high-ability, intellectually curious students through coursework emphasizing scholarly research, high-order critical thinking, and experiential learning.
Students cannot register for honors coursework until they have applied to and been accepted by the Honors@Bucks program.
Honors@Bucks is open to students in all associate-degree programs who meet Honors@Bucks' criteria.
- VI. Catalog Course Description
- This course is primarily for business, science, liberal arts, and education majors. Topics studied include descriptive measures for empirical data, theory of probability, probability distributions, sampling distributions of statistics from large and small samples, estimation theory, hypothesis testing, correlation, and regression.
- VII. Required Course Content and Direction
Course Learning Goals
- demonstrate knowledge of fundamental statistical terms, concepts and skills needed to describe data sets using graphs and numerical summaries;
- demonstrate knowledge and skills in applying fundamental probability concepts and methods in problem solving;
- identify and implement the appropriate inferential statistical test to verify various hypotheses and determine the correct conclusion based on the result of the hypothesis test. [Critical Thinking]; and
- demonstrate the ability to apply and explain statistical applications to real life situations; and
- develop the ability to analyze, interpret, and apply quantitative information.[Quantitative Literacy].
Planned Sequence of Topics and/or Learning Activities
- Descriptive Statistics
- Sampling techniques
- Graphical displays (Histograms, Stem and Leaf displays, Box and Whisker plots and Frequency Polygons)
- Measures of Central Tendency
- Measures of Variation
- Measures of Position
- Rules of probability
- Discrete and Continuous probability distributions, including Binomial, Normal, Chi-Square, and t-distribution
- Central Limit Theorem
- Inferential Statistics
- Sample size
- Confidence intervals
- Hypothesis testing (one and two samples)
- Chi-Square (test of independence and goodness of fit)
- Regression and Correlation
- Scatter plots
- Least Squares regression equation
- Correlation coefficient
Assessment Methods for Course Learning Goals
The student applies mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using open-ended questions reflecting theoretical and applied situations.
Reference, Resource, or Learning Materials to be used by Student:Departmentally selected textbook, calculators. Details provided by the instructor of each course section. See course syllabus.
Review/Approval Date - 3/06; Core Goals/Objectives added 12/04: New Core 8/2015