Anne Arundel Community College

MAT 135: Elementary Statistics


CATALOG DESCRIPTION:
An introduction to basic concepts in probability and statistics. Topics include sampling techniques; data display; large and small sampling theory; binomial and normal probability distributions; and regression and correlation. Sample mean, standard deviation, confidence intervals, and hypothesis testing are introduced in business, economics and industrial contexts.

Prerequisite: Achieving an appropriate score on the mathematics part of the ACT or SAT, or completion of MAT 012 with a grade of at least C or scoring at an appropriate level on the Mathematics Placement Test.

LEARNING OBJECTIVES:
Upon completion of this course, the student will be able to:
  1. Use the techniques of descriptive statistics to organize data, create and interpret graphs, and compute statistics.
  2. Apply probability theory to specific contexts.
  3. Compute confidence intervals and perform hypothesis tests for population means and proportions.
  4. Analyze bivariate data using linear regression and correlation.
  5. Use technology to enter, display, and analyze data.

COURSE OUTLINE:
Data Collection:
  • Introduction to the Practice of Statistics
  • Observational Studies versus Designed Experiments
  • Simple Random Sampling
  • Other Effective Sampling Methods
  • Bias in Sampling

Organizing and Summarizing Data:
  • Organizing Qualitative Data
  • Organizing Quantitative Data
  • Additional Displays of Quantitative Data
  • Graphical Misrepresentations of Data

Numerically Summarizing Data:
  • Measures of Central Tendency
  • Measures of Dispersion
  • Measures of Central Tendency and Dispersion from Grouped Data
  • Measures of Position
  • Five-Number Summary and Boxplots

Relations Between Two Variables:
  • Scatter Diagrams and Correlation
  • Least-Squares Regression
  • Diagnostics on the Least-Squares Regression Line

Probability:
  • Probability Rules
  • Addition Rule and Complements
  • Independence and the Multiplication Rule
  • Conditional Probability
  • Counting Techniques
  • Putting It Together: Which Method Do I Use?

Discrete Probability Distributions:
  • Discrete Random Variables
  • Binomial Probability Distribution

Normal Probability Distribution:
  • Properties of the Normal Distribution
  • Standard Normal Distribution
  • Applications of the Normal Distribution
  • Assessing Normality (brief discussion only)
  • Normal Approximation to the Binomial Distribution

Sampling Distributions:
  • Distribution of the Sample Mean
  • Distribution of the Sample Proportion

Confidence Intervals:
  • Population Mean (Population Standard Deviation Known)
  • Population Mean (Population Standard Deviation Unknown)
  • Population Proportion
  • Putting It Together: Which Procedure Do I Use

Hypothesis Testing:
  • Language of Hypothesis Testing
  • Population Mean (Population Standard Deviation Known)
  • Population Mean (Population Standard Deviation Unknown)
  • Population Proportion
  • Putting It Together: Which Method Do I Use

Inference on Two Samples (cover at least one of the following):
  • Inference About Two Means (Dependent Samples)
  • Inference About Two Means (Independent Samples)
  • Inference About Two Population Proportions

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