Course Abstract Details

MATH-115, Introduction to Statistical Methods

Credits: 4

This is a General Education Course

Course Description

MATH-115, Introduction to Statistical Methods, provides an accurate but basic survey of data analysis. Methods include data collection and packaging and distinguishing between valid and invalid uses of statistics, as well as elementary methods for decision making. Topics include measures of central tendency and dispersion, probability and the binomial and normal distributions, estimate of parameters (means and proportions), test of hypothesis, two-variable linear correlation, linear regression, and analysis of variance. Students in the areas of education, business, and the arts and sciences will find that this course enhances and clarifies large portions of literature in their specializations. Prerequisite: exemption/completion of READ-099 with a C grade or better, and a satisfactory placement exam score or MAT-099 with a C grade or better. Credit by exam available. Graphing calculator required. See Mathematics Department web site for details. Four hours lecture each week. Four credits. Four billable hours. GENERAL EDUCATION

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES:  Upon completion of this course, the student should be able to: 

1. Explain differences between probability (deductive) and statistical (inferential) problems. (GE1, GE2, PG1, PG2, PG3) 

2. Explain methods of data collection and issues involved. (GE1, GE2, PG2, PG3) 

3. Organize, display, and interpret data using graphs, charts, and tables. (GE1, GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

4. Characterize distributions using measures of central tendency and measures of dispersion. (GE1, GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

5. Use linear regression to establish a relationship between two variables and make estimates using that relationship. (GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

6. Use correlation analysis to assess the relationship strength between two variables and the estimates made by that relationship. (GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

7. Explain the basic nature of probability and the methods for assigning probabilities to an event. (GE1, GE2, PG1, PG2, PG3) 

8. Apply the rules of probability to predicting the outcome of statistical events. (GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

9. Use discrete and continuous probability distribution for making predictions. (GE1, GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

10. Employ the Central Limit Theorem to make predictions about sample means. (GE2, GE3, GE4, PG1, PG2, PG3, PG4) 

11. Employ confidence intervals and hypothesis tests for making inferences about populations based on sample data. (GE1, GE2, GE3, GE4, PG1, PG2, PG3, PG4)

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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